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p p t _ h < * + D ' = % ( D ' = % ( D6 ' =A @B B
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B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -g 6 B f a d e *< 3 < * D ' = % ( D7 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * Dz
' = % ( D ' = % ( D6 ' =A @B B
B B 0B % ( D ' = -g 6 B f a d e *< 3 < * D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D8 ' =A @B B
B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -g 6 B f a d e *< 3 < * DL ' = % ( D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * + % ( Dw ' =A @B B B B 0B % ( / %, ( < + ) D ' =? B7 0 , 0 ; . 2 , . 5 ; . 8 , . 5 ; 1 , 0 -g 6 B f a d e *< 3 < * + D ' = 0l 9 B B B B *< 3 < * + ) ? D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * , % ( DC ' =A @B B B B 0B % ( ) D ' =? B7 0 , 0 ; . 2 , . 5 ; . 8 , . 5 ; 1 , 0 -g 6 B f a d e *< 3 < * , D ' = 0l 9 B B B B *< 3 < * , ) ? D? ' = % ( D ' = % ( D6 ' =A @B B
B B 0B % ( D ' = -g 6 B f a d e *< 3 < * D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D8 ' =A @B B
B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * + % ( D ' = -g 6 B f a d e *< 3 < * + D ' = % ( D ' =A @B B B
B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = + 4 8 ?R C B B C B # p p t _ w B *Y 3 > B
p p t _ w < * D ' = + 4 8 ?\ C B # p p t _ h B C B # p p t _ h B *Y 3 > B
p p t _ h < * D$ ' = % ( D ' = % ( Dh ' =A @B B
B B 0B % ( ) ) ) D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -g 6 B f a d e *< 3 < * D ' = % ( D ' =4 @B B B
B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = + 4 8 ?R C B B C B # p p t _ w B *Y 3 > B
p p t _ w < * D ' = + 4 8 ?\ C B # p p t _ h B C B # p p t _ h B *Y 3 > B
p p t _ h < * Dx ' = % ( D ' = % ( D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D) ' =4 @B B
B B % ( D ' = -g 6 B f a d e *< 3 < * D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D6 ' =A @B B
B B 0B % ( D ' = -g 6 B f a d e *< 3 < * + D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * + % ( D6 ' =A @B B
B B 0B % ( D ' = -g 6 B f a d e *< 3 < * , D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * , % ( D ' = % ( D7 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * D ' = % ( D7 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * D ' = % ( D7 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * D ' = % (
D7 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * D ' = % ( D7 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * D ' = % ( D7 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * D? ' = % ( D ' = % ( D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D) ' =4 @B B
B B % ( D ' = -g 6 B f a d e *< 3 < * D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D) ' =4 @B B
B B % ( D ' = -g 6 B f a d e *< 3 < * D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D) ' =4 @B B
B B % ( D ' = -g 6 B f a d e *< 3 < * D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D) ' =4 @B B
B B % ( D ' = -g 6 B f a d e *< 3 < * D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D) ' =4 @B B
B B % ( D ' = -g 6 B f a d e *< 3 < * D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D) ' =4 @B B
B B % ( D ' = -g 6 B f a d e *< 3 < * D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = % ( D8 ' =A @B B
B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * ! % ( D ' = -g 6 B f a d e *< 3 < * ! D8 ' =A @B B
B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * " % ( D ' = -g 6 B f a d e *< 3 < * " DR ' = % ( D ' = % ( D6 ' =A @B B
B B 0B % ( D ' = -g 6 B f a d e *< 3 < * ! D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * ! % ( D6 ' =A @B B
B B 0B % ( D ' = -g 6 B f a d e *< 3 < * " D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * " % ( D' ' = % ( D6 ' =A @B B
B B 0B % ( D ' = -g 6 B f a d e *< 3 < * D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = % ( D+ ' =4 @B B
B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % % ( D ' = -g 6 B f a d e *< 3 < * % D' ' = % ( p D6 ' =A @B B
B B 0B % ( D ' = -g 6 B f a d e *< 3 < * D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = % ( @ D+ ' =4 @B B
B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * ) % ( D ' = -g 6 B f a d e *< 3 < * ) D' ' = % ( ' D6 ' =A @B B
B B 0B % ( D ' = -g 6 B f a d e *< 3 < * D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = % ( . D+ ' =4 @B B
B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * * % ( D ' = -g 6 B f a d e *< 3 < * * + +0 + + +0 + + +0 + + +0 + + +0 + + +0 + + +0 + + +0 + + +0 + + +0 + + +0 + + +0 + + +0 + + +0 + + +0 + + +0 + + +0 + + +0 + ! + +0 + ! + +0 + " + +0 + " + +0 + + + +0 + + + +0 + + + +0 + , + +0 + , + +0 + , + v
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0 + B# s t y l e . v i s i b i l i t y < * % ( D ' = + 4 8 ?R C B B C B # p p t _ w B *Y 3 > B
p p t _ w < * D ' = + 4 8 ?\ C B # p p t _ h B C B # p p t _ h B *Y 3 > B
p p t _ h < * DZ ' = % ( D6 ' =A @B B
B B 0B % ( D ' = -g 6 B f a d e *< 3 < * D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' =4 @B B B B % ( ) ) ) ) ? D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * ! % ( D ' = % ( D) ' =4 @B B
B B % ( D ' = -g 6 B f a d e *< 3 < * ! D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * ! % ( D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D' ' = % ( D6 ' =A @B B
B B 0B % ( D ' = -g 6 B f a d e *< 3 < * D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = % ( D' ' = % ( D6 ' =A @B B
B B 0B % ( D ' = -g 6 B f a d e *< 3 < * D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( Dh ' = % ( D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( Dw ' =A @B B B B 0B % ( / %, ( < + ) D ' =? B7 0 , 0 ; . 2 , . 5 ; . 8 , . 5 ; 1 , 0 -g 6 B f a d e *< 3 < * D ' = 0l 9 B B B B *< 3 < * ) ? Di ' = % ( D ' = % ( D ' =A @B B B
B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = + 4 8 ?R C B B C B # p p t _ w B *Y 3 > B
p p t _ w < * D ' = + 4 8 ?\ C B # p p t _ h B C B # p p t _ h B *Y 3 > B
p p t _ h < * D ' = % ( Dg ' = % ( D6 ' =A @B B
B B 0B % ( D ' = -g 6 B f a d e *< 3 < * D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' =A @B B B B 0B % ( ) ) ) ) ? D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D) ' = % ( D ' =A @B B B B 0B % ( ) ) ) ) ? D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = % ( D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( DU ' = % ( D ' = % ( Dg ' =4 @B B 7 B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = + 4 8 ?f C B # p p t _ w * 0 . 7 0 B C B # p p t _ w B *Y 3 > B
p p t _ w < * D ' = + 4 8 ?\ C B # p p t _ h B C B # p p t _ h B *Y 3 > B
p p t _ h < * D ' = -g 6 B f a d e *< 3 < * Dg ' =4 @B B 7 B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * & % ( D ' = + 4 8 ?f C B # p p t _ w * 0 . 7 0 B C B # p p t _ w B *Y 3 > B
p p t _ w < * & D ' = + 4 8 ?\ C B # p p t _ h B C B # p p t _ h B *Y 3 > B
p p t _ h < * & D ' = -g 6 B f a d e *< 3 < * & Dg ' =4 @B B 7 B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * # % ( D ' = + 4 8 ?f C B # p p t _ w * 0 . 7 0 B C B # p p t _ w B *Y 3 > B
p p t _ w < * # D ' = + 4 8 ?\ C B # p p t _ h B C B # p p t _ h B *Y 3 > B
p p t _ h < * # D ' = -g 6 B f a d e *< 3 < * # Dg ' =4 @B B 7 B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * ! % ( D ' = + 4 8 ?f C B # p p t _ w * 0 . 7 0 B C B # p p t _ w B *Y 3 > B
p p t _ w < * ! D ' = + 4 8 ?\ C B # p p t _ h B C B # p p t _ h B *Y 3 > B
p p t _ h < * ! D ' = -g 6 B f a d e *< 3 < * ! D ' = % ( D+ ' =4 @B B
B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * * % ( D ' = -g 6 B f a d e *< 3 < * * D+ ' =4 @B B
B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * , % ( D ' = -g 6 B f a d e *< 3 < * , D+ ' =4 @B B
B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -g 6 B f a d e *< 3 < * Du ' = % ( D ' = % ( D ' =A @B B B
B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * - % ( D ' = + 4 8 ?R C B B C B # p p t _ w B *Y 3 > B
p p t _ w < * - D ' = + 4 8 ?\ C B # p p t _ h B C B # p p t _ h B *Y 3 > B
p p t _ h < * - D ' = % ( D ' =4 @B B B
B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * . % ( D ' = + 4 8 ?R C B B C B # p p t _ w B *Y 3 > B
p p t _ w < * . D ' = + 4 8 ?\ C B # p p t _ h B C B # p p t _ h B *Y 3 > B
p p t _ h < * . Dv ' = % ( D ' = % ( D+ ' =4 @B B ? B B % ( ) ? ) ? D ' = .G 7 B B B B BY M 3 . 6 1 1 1 1 E - 6 1 . 4 8 1 4 8 E - 6 L 0 . 3 2 3 0 9 - 0 . 0 0 1 8 5 * 3 >* B
p p t _ x B
p p t _ y =@ 0 B B A A p B B UU%> B ֹr < * D+ ' =4 @B B ? B B % ( ) ? ) ? D ' = .G 7 B B B B BY M 3 . 3 3 3 3 3 E - 6 1 . 8 5 1 8 5 E - 6 L 0 . 3 5 4 3 4 - 0 . 0 0 4 1 7 * 3 >* B
p p t _ x B
p p t _ y =@ 0 B B A A p B B UU5> B < * ! D- ' =4 @B B # B B % ( ) ? ) ? D ' = .I 7 B B B B B[ M 1 . 9 4 4 4 4 E - 6 - 4 . 8 1 4 8 1 E - 6 L - 0 . 3 4 2 5 4 0 . 0 0 1 8 6 * 3 >* B
p p t _ x B
p p t _ y =@ 0 B B A A p B B I/ B ֹr: < * * D+ ' =4 @B B # B B % ( ) ? ) ? D ' = .G 7 B B B B BY M 4 . 1 6 6 6 7 E - 6 - 3 . 7 0 3 7 E - 6 L - 0 . 3 3 0 5 6 0 . 0 0 6 9 5 * 3 >* B
p p t _ x B
p p t _ y =@ 0 B B A A p B B >) B 9c; < * D ' = % ( D ' = % ( D) ' =4 @B B
B B % ( D ' = -g 6 B f a d e *< 3 < * . D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * . % ( D ' = % ( D ' =4 @B B B
B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * 2 % ( D ' = + 4 8 ?R C B B C B # p p t _ w B *Y 3 > B
p p t _ w < * 2 D ' = + 4 8 ?\ C B # p p t _ h B C B # p p t _ h B *Y 3 > B
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B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = + 4 8 ?R C B B C B # p p t _ w B *Y 3 > B
p p t _ w < * D ' = + 4 8 ?\ C B # p p t _ h B C B # p p t _ h B *Y 3 > B
p p t _ h < * D ' = % ( D8 ' =A @B B
B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -g 6 B f a d e *< 3 < * DT ' = % ( D ' = % ( DD ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * D) ' =4 @B B
B B % ( D ' = -g 6 B f a d e *< 3 < * D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D' ' = % ( D6 ' =A @B B
B B 0B % ( D ' = -g 6 B f a d e *< 3 < * D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = % ( D ' = % ( D- ' =4 @B B B B % ( ) ? ) ? D ' = .I 7 B B B B B[ M 3 . 6 1 1 1 1 E - 6 - 4 . 0 4 6 2 4 E - 6 L 0 . 1 4 1 8 4 - 0 . 0 5 7 5 7 * 3 >* B
p p t _ x B
p p t _ y =@ 0 B B A A p B B = B T < * D ' = % ( D ' = % ( DD ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * D ' = % ( D ' = % ( D7 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -s 6 B w i p e ( d o w n ) *< 3 < * D ' = % ( D ' =A @B B B
B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = + 4 8 ?R C B B C B # p p t _ w B *Y 3 > B
p p t _ w < * D ' = + 4 8 ?\ C B # p p t _ h B C B # p p t _ h B *Y 3 > B
p p t _ h < * D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D6 ' =A @B B
B B 0B % ( D ' = -g 6 B f a d e *< 3 < * D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = % ( D8 ' =A @B B
B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -g 6 B f a d e *< 3 < * D ' = % ( D ' = % ( D ' =A @B B B
B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * ! % ( D ' = + 4 8 ?R C B B C B # p p t _ w B *Y 3 > B
p p t _ w < * ! D ' = + 4 8 ?\ C B # p p t _ h B C B # p p t _ h B *Y 3 > B
p p t _ h < * ! D ' = % ( D7 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * " % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * " D ' = % ( Dh ' =A @B B
B B 0B % ( ) ) ) D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * # % ( D ' = -g 6 B f a d e *< 3 < * # + +0 + 5 + +0 + 5 + +0 + 5 + +0 + 5 + +0 + 5 + +0 + 5 + +0 + 5 + +0 + 5 + +0 + 5 + +0 + 5 + +0 + ! 5 + +0 + # 5 +
P )8 M (
8
8
T @ S " ? } f
, $ @
0 b
$8 @
s * cgc
, $ D "
0 x
8 c $ 5 T Ki
5
B
8
s * D dd , $ @
0 B
8
s * D c
a
Jc
, $ D
0 B
8
0 D o cdc
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0 B
8
0 D o c
dc
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8
0 D 3 o dgc
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0 5 27M R , $
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FR = F1 + F2 P
( 2
8
0 5 _
F , $
0
r We will use Pythagoras's theorem " ! ( 2 ! ! V
8
0 l5 m , $
0
F L e t s c a l c u l a t e t h e m a g n i t u d e o f F R L $ 2 ! 3 3 3 $
8
0 5
s , $
0
Fx B 2
8
0 5 lSS , $
0
Fy B 2
8
0 D I , $
0
Q F 2 3
f "
8
T @ S " ? ICW, L $ D &
0 U
0
h
simulation
8
0 ]6} , $
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s ) Resolution of a force into its components * ( 2 * *
8
0 (5 fIM , $
0
also known as ( 2 4
B
8
0 D 3 ggc
, $ D
0 B
8 @
0 D 3 cg , $ @
0
8
0
B 2
8
0 L P 7 , $
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f According to previous slide: 2
8
0 H J , $
0
t FR B 2 3 3 3
8
0
s , $
0
t F1 B 2
!8
0 " pSW , $
0
t F2 B 2
"8
0 ' P 7 , $
0
a Relabeling the vectors: 2 L
#8
0 d, 27M R , $
0
FR = F1 + F2 |
( 2 3 3
8
0 4 27M R , $
0
F = Fx + Fy
( 2 3 @
%8
\ A T p i t a g o r a s } GO
< $ D #
0 '
(8
0 @ ]7} , $
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) Resolution of a force into its components : * ( 2 3
*
)8
0 (F E , , $ $
0
~ L e t s p r a c t i s e ! ! " ( 2
H
8 0 h ? ff ۥ ff h h _ _ _ P P T 1 0 uh . k`Ƈ + Db ' =
@B DTb ' =
@B A ? %, ( < + O %, (
< + D ' = % ( % ( D ' = % ( DD ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * 8 % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * 8 D ' = % ( D ' =A @B B B
B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * 8 % ( D ' = + 4 8 ?R C B B C B # p p t _ w B *Y 3 > B
p p t _ w < * 8 D ' = + 4 8 ?\ C B # p p t _ h B C B # p p t _ h B *Y 3 > B
p p t _ h < * 8 D ' = % ( D+ ' =4 @B B
B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * 8 % ( D ' = -g 6 B f a d e *< 3 < * 8 D+ ' =4 @B B
B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * 8 % ( D ' = -g 6 B f a d e *< 3 < * 8 D+ ' =4 @B B
B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * 8 % ( D ' = -g 6 B f a d e *< 3 < * 8 Dh ' = % ( D ' = % ( DD ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * 8 % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * 8 D ' = % ( D ' =A @B B B
B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * 8 % ( D ' = + 4 8 ?R C B B C B # p p t _ w B *Y 3 > B
p p t _ w < * 8 D ' = + 4 8 ?\ C B # p p t _ h B C B # p p t _ h B *Y 3 > B
p p t _ h < * 8 D ' = % ( D+ ' =4 @B B
B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * 8 % ( D ' = -g 6 B f a d e *< 3 < * 8 D8 ' =A @B B
B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * 8 % ( D ' = -g 6 B f a d e *< 3 < * 8 D ' = % ( D+ ' =4 @B B
B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * 8 % ( D ' = -g 6 B f a d e *< 3 < * 8 D8 ' =A @B B
B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * !8 % ( D ' = -g 6 B f a d e *< 3 < * !8 D ' = % ( D+ ' =4 @B B
B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * 8 % ( D ' = -g 6 B f a d e *< 3 < * 8 D+ ' =4 @B B
B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * 8 % ( D ' = -g 6 B f a d e *< 3 < * 8 D ' = % ( X Dg ' =4 @B B B B % ( ) ) ) D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * 8 % ( D ' = -s 6 B w i p e ( d o w n ) *< 3 < * 8 D8 ' =A @B B
B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * 8 % ( D ' = -g 6 B f a d e *< 3 < * 8 D ' = % ( Dg ' = % ( D6 ' =A @B B
B B 0B % ( D ' = -g 6 B f a d e *< 3 < * 8 D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * 8 % ( D ' =A @B B B B 0B % ( ) ) ) ) ? D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * #8 % ( D ' = % ( D ' = % ( D6 ' =A @B B
B B 0B % ( D ' = -g 6 B f a d e *< 3 < * 8 D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * 8 % ( D ' = % ( DD ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * "8 % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * "8 Dg ' = % ( D6 ' =A @B B
B B 0B % ( D ' = -g 6 B f a d e *< 3 < * 8 D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * 8 % ( D ' =A @B B B B 0B % ( ) ) ) ) ? D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * (8 % ( D ' = % ( D6 ' =A @B B
B B 0B % ( D ' = -g 6 B f a d e *< 3 < * 8 D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * 8 % ( D ' = % ( d D8 ' =A @B B
B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * 8 % ( D ' = -g 6 B f a d e *< 3 < * 8 D ' = % ( 4! D6 ' =A @B B
B B 0B % ( D ' = -g 6 B f a d e *< 3 < * !8 D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * !8 % ( D ' = % ( ) D8 ' =A @B B
B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * 8 % ( D ' = -g 6 B f a d e *< 3 < * 8 D ' = % ( 0 D6 ' =A @B B
B B 0B % ( D ' = -g 6 B f a d e *< 3 < * 8 D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * 8 % ( D ' = % ( 8 D8 ' =A @B B
B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * 8 % ( D ' = -g 6 B f a d e *< 3 < * 8 D& ' = % ( D ' = % ( D6 ' =A @B B
B B 0B % ( D ' = -g 6 B f a d e *< 3 < * #8 D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * #8 % ( D8 ' =A @B B
B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * 8 % ( D ' = -g 6 B f a d e *< 3 < * 8 D ' = % ( D ' = % ( DD ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * 8 % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * 8 D
' = % ( D ' = % ( D8 ' =A @B B
B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < *
8 % ( D ' = -g 6 B f a d e *< 3 < *
8 D ' = % ( D3 ' =4 @B B ? B B % ( ) ? ) ? D ' = .O 7 B B B B Ba M 1 . 3 8 8 8 9 E - 6 - 2 . 1 3 8 7 3 E - 6 L 0 . 1 3 4 0 3 - 2 . 1 3 8 7 3 E - 6 * 3 >* B
p p t _ x B
p p t _ y =@ 0 B B A A p B B >= B < * 8 D ' = % ( D+ ' =4 @B B
B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * $8 % ( D ' = -g 6 B f a d e *< 3 < * $8 D ' = % ( p D7 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * %8 % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * %8 DA ' = % ( D ' = % ( D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * )8 % ( D ' = % ( D ' = % ( DC ' =A @B B B B 0B % ( ) @ D ' =? B7 0 , 0 ; . 2 , . 5 ; . 8 , . 5 ; 1 , 0 -g 6 B f a d e *< 3 < * )8 D ' = 0l 9 B B B B *< 3 < * )8 ) ? D ' = % ( D8 ' =A @B B
B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * 8 % ( D ' = -g 6 B f a d e *< 3 < * 8 + +0 + 8 + +0 + 8 + +0 +
8 + +0 + 8 + +0 + 8 + +0 + 8 + +0 + 8 + +0 + 8 + +0 + 8 + +0 + 8 + +0 + 8 + +0 + 8 + +0 + 8 + +0 + 8 + +0 + 8 + +0 + 8 + +0 + 8 + +0 + !8 + +0 + !8 + +0 + "8 + +0 + #8 + +0 + #8 + +0 + 8 + +0 + (8 + +0 + )8 + +0 + )8 + D
p # j (
s * /]
,, , $ D
0 x
c $ T w R\
c $ | T VZ} < $
0
B
0 D jJ :N , $ @
0 r
H H jJ ]
Y , $ D
0
B
0
, $
0
s ) Force due to the attraction of the Earth. * 2 * * /
0 P
Y , $
0
) Force due to the attraction of the Earth. B * 2
*
s *
m ( , $ D
0
" a = g = - 9 8 m / s 2 8 ( 2
s * P V
m v , $ D
0
X
P = m g ( 2
0 ܭ
w , $
0
< A c c o r d i n g t o N e w t o n s 2 n d l a w : 2
0 Ա 3
S
W F = m a
( 2
0 p
W , $ D
0
n $ In this case acceleration is gravity % 2 % % B
s * D jJ P:: , $ D
0
s * h % =
, $ D
0
w Fg or P >
( 2 ( (
!
0 | p
W , $ D
0
~ $ In this case acceleration is gravity * % 2 %
#
0 \
, $
0
f So weight is represented by: 2 H
0 h ? ff ۥ ff a5 Y5 _ _ _ P P T 1 0 95 . k`Ƈ + dQ D2 ' =
@B D`2 ' =
@B A ? %, ( < + O %, (
< + D ' = % ( % ( D ' = % ( D ' =A @B B B
B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = + 4 8 ?R C B B C B # p p t _ w B *Y 3 > B
p p t _ w < * D ' = + 4 8 ?\ C B # p p t _ h B C B # p p t _ h B *Y 3 > B
p p t _ h < * D ' = % ( D3 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -o 6 B w i p e ( u p ) *< 3 < * DP ' = % ( D7 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * D ' =A @B B B
B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = + 4 8 ?R C B B C B # p p t _ w B *Y 3 > B
p p t _ w < * D ' = + 4 8 ?\ C B # p p t _ h B C B # p p t _ h B *Y 3 > B
p p t _ h < * D ' = % ( D@ ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -o 6 B w i p e ( u p ) *< 3 < * D ' = % ( D+ ' =4 @B B
B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -g 6 B f a d e *< 3 < * D ' = % ( D ' =A @B B B
B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = + 4 8 ?R C B B C B # p p t _ w B *Y 3 > B
p p t _ w < * D ' = + 4 8 ?\ C B # p p t _ h B C B # p p t _ h B *Y 3 > B
p p t _ h < * D# ' = % ( D' ' = % ( D6 ' =A @B B
B B 0B % ( D ' = -g 6 B f a d e *< 3 < * D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = % ( DD ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * D\ ' = % ( D ' = % ( D ' =4 @B B B
B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % % ( D ' = + 4 8 ?R C B B C B # p p t _ w B *Y 3 > B
p p t _ w < * % D ' = + 4 8 ?\ C B # p p t _ h B C B # p p t _ h B *Y 3 > B
p p t _ h < * % DH ' = % ( D ' = % ( D6 ' =A @B B
B B 0B % ( D ' = -g 6 B f a d e *< 3 < * % D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * % % ( D ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * ! % % ( D ' = % ( D ' =A @B B B
B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = + 4 8 ?R C B B C B # p p t _ w B *Y 3 > B
p p t _ w < * D ' = + 4 8 ?\ C B # p p t _ h B C B # p p t _ h B *Y 3 > B
p p t _ h < * D ' = % ( DD ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * # % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * # D ' = % ( D ' =A @B B B
B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = + 4 8 ?R C B B C B # p p t _ w B *Y 3 > B
p p t _ w < * D ' = + 4 8 ?\ C B # p p t _ h B C B # p p t _ h B *Y 3 > B
p p t _ h < * +h +0 + + +0 + + +0 + + +0 + + +0 + + +0 + + +0 + + +0 + + +0 + + +0 + + +0 + # + R
) ! L (
L
L
s * /]
,, , $ D
0 x
L c $ P T w R\
L c $ L T VZ} < $
0
B
L
0 D jJ :N , $ @
0 r
L
H H jJ ]
Y , $ D
0
B
L
0
, $
0
p & Force due to the presence of surfaces. ' 2 ' '
L
0
Y , $
0
& Force due to the presence of surfaces. 4 ' 2 '
L
s * D4
CF , $
0
S N = P ( 2
L
0 4
Y
, $
0
w - Obviously, force of gravity is acting too... . 2 . .
L
0 H4
, $ D
0
W
In this case: 2 B
L
s * D jJ P:: , $ D
0
L
s * % =
, $ D
0
Q N ( 2 (
L
s * Cp , $ D
0 B
L
s * D f Ԕ p# 9p , $ D
0 B
L
0 D o , $ D
0 B
L
0 D o , $ D
0
L
0 4
F , $
0
Q P 2
L
0 p4
F , $ D
0
Q N 2
L
0 t4
dz , $
0
not always!!! ( 2 3 4
h
L
s * 4
9
, $ D
0
Normal is found balancing forces " ! ( 2 ! t
H
L 0 h ? ff ۥ ff $A A _ _ _ P P T 1 0 @ . k`Ƈ + zJ D0> ' =
@B D= ' =
@B A ? %, ( < + O %, (
< + D ' = % ( % ( D ' = % ( D ' =A @B B B
B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * L % ( D ' = + 4 8 ?R C B B C B # p p t _ w B *Y 3 > B
p p t _ w < * L D ' = + 4 8 ?\ C B # p p t _ h B C B # p p t _ h B *Y 3 > B
p p t _ h < * L D ' = % ( D3 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * L % ( D ' = -o 6 B w i p e ( u p ) *< 3 < * L DP ' = % ( D7 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * L % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * L D ' =A @B B B
B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * L % ( D ' = + 4 8 ?R C B B C B # p p t _ w B *Y 3 > B
p p t _ w < * L D ' = + 4 8 ?\ C B # p p t _ h B C B # p p t _ h B *Y 3 > B
p p t _ h < * L D ' = % ( D@ ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * L % ( D ' = -o 6 B w i p e ( u p ) *< 3 < * L D ' = % ( D+ ' =4 @B B
B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * L % ( D ' = -g 6 B f a d e *< 3 < * L D ' = % ( D ' =A @B B B
B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * L % ( D ' = + 4 8 ?R C B B C B # p p t _ w B *Y 3 > B
p p t _ w < * L D ' = + 4 8 ?\ C B # p p t _ h B C B # p p t _ h B *Y 3 > B
p p t _ h < * L D
' = % ( D ' = % ( D ' =A @B B B B 0B % ( ) ) ) ) ? D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * L % ( D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * L % ( D ' = % ( D7 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * L % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * L D ' = % ( D7 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * L % ( D ' = -s 6 B w i p e ( d o w n ) *< 3 < * L D ' = % ( D7 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * L % ( D ' = -s 6 B w i p e ( d o w n ) *< 3 < * L D ' = % ( D ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * L % ( D ' = % ( D ' = % ( DD ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * L % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * L D ' = % ( D ' = % ( D3 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * L % ( D ' = -o 6 B w i p e ( u p ) *< 3 < * L D ' = % ( D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * L % ( D0 ' = % ( D ' = % ( Dg ' =4 @B B B B % ( ) ) ) D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < *
L % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < *
L D ' = % ( D ' =A @B B B
B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * L % ( D ' = + 4 8 ?R C B B C B # p p t _ w B *Y 3 > B
p p t _ w < * L D ' = + 4 8 ?\ C B # p p t _ h B C B # p p t _ h B *Y 3 > B
p p t _ h < * L D ' = % ( D ' = % ( D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * L % ( D ' = % ( Dw ' =A @B B B B 0B % ( / %, ( < + ) D ' =? B7 0 , 0 ; . 2 , . 5 ; . 8 , . 5 ; 1 , 0 -g 6 B f a d e *< 3 < * L D ' = 0l 9 B B B B *< 3 < * L ) ? Di ' = % ( D ' = % ( D ' =A @B B B
B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * L % ( D ' = + 4 8 ?R C B B C B # p p t _ w B *Y 3 > B
p p t _ w < * L D ' = + 4 8 ?\ C B # p p t _ h B C B # p p t _ h B *Y 3 > B
p p t _ h < * L + +0 + L 4
+ +0 + L 4
+ +0 + L 4
+ +0 + L 4
+ +0 + L 4
+ +0 + L 4
+ +0 + L 4
+ +0 + L 4
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P 0 h ? ff ۥ ff #? ? _ _ _ P P T 1 0 > . k`Ƈ + (! D< ' =
@B DZ< ' =
@B A ? %, ( < + O %, (
< + D" ' = % ( % ( D ' = % ( D ' =A @B B B
B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * P % ( D ' = + 4 8 ?R C B B C B # p p t _ w B *Y 3 > B
p p t _ w < * P D ' = + 4 8 ?\ C B # p p t _ h B C B # p p t _ h B *Y 3 > B
p p t _ h < * P D ' = % ( D3 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * P % ( D ' = -o 6 B w i p e ( u p ) *< 3 < * P DP ' = % ( D7 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * P % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * P D ' =A @B B B
B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * P % ( D ' = + 4 8 ?R C B B C B # p p t _ w B *Y 3 > B
p p t _ w < * P D ' = + 4 8 ?\ C B # p p t _ h B C B # p p t _ h B *Y 3 > B
p p t _ h < * P D ' = % ( D@ ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * P % ( D ' = -o 6 B w i p e ( u p ) *< 3 < * P D ' = % ( D+ ' =4 @B B
B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * P % ( D ' = -g 6 B f a d e *< 3 < * P D ' = % ( D ' =A @B B B
B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * P % ( D ' = + 4 8 ?R C B B C B # p p t _ w B *Y 3 > B
p p t _ w < * P D ' = + 4 8 ?\ C B # p p t _ h B C B # p p t _ h B *Y 3 > B
p p t _ h < * P D ' = % ( D7 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * P % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * P D ' = % ( D3 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * P % ( D ' = -o 6 B w i p e ( u p ) *< 3 < * P D ' = % ( | D3 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * P % ( D ' = -o 6 B w i p e ( u p ) *< 3 < * P D ' = % ( p D7 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * P % ( D ' = -s 6 B w i p e ( d o w n ) *< 3 < * P D ' = % ( d D ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * P % ( D ' = % ( D ' = % ( DD ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * P % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * P D ' = % ( D ' = % ( D3 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * P % ( D ' = -o 6 B w i p e ( u p ) *< 3 < * P D ' = % ( D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * P % ( D0 ' = % ( D ' = % ( Dg ' =4 @B B B B % ( ) ) ) D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * P % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * P D ' = % ( D ' =A @B B B
B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * P % ( D ' = + 4 8 ?R C B B C B # p p t _ w B *Y 3 > B
p p t _ w < * P D ' = + 4 8 ?\ C B # p p t _ h B C B # p p t _ h B *Y 3 > B
p p t _ h < * P Di ' = % ( D ' = % ( D ' =A @B B B
B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * P % ( D ' = + 4 8 ?R C B B C B # p p t _ w B *Y 3 > B
p p t _ w < * P D ' = + 4 8 ?\ C B # p p t _ h B C B # p p t _ h B *Y 3 > B
p p t _ h < * P D ' = % ( D ' = % ( D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * P % ( D ' = % ( Dw ' =A @B B B B 0B % ( / %, ( < + ) D ' =? B7 0 , 0 ; . 2 , . 5 ; . 8 , . 5 ; 1 , 0 -g 6 B f a d e *< 3 < * P D ' = 0l 9 B B B B *< 3 < * P ) ? +0 +0 + P 4
+ +0 + P 4
+ +0 + P 4
+ +0 + P 4
+ +0 + P 4
+ +0 + P 4
+ +0 + P 4
+ +0 + P 4
+ +0 + P 4
+ +0 + P 4
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T
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t * Sense of friction is opposite to movement + 2 + +
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T 0 h ? ff ۥ ff X X _ _ _ P P T 1 0 W . k`Ƈ + (q DT ' =
@B DS ' =
@B A ? %, ( < + O %, (
< + D ' = % ( % ( D ' = % ( D ' =A @B B B
B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * T % ( D ' = + 4 8 ?R C B B C B # p p t _ w B *Y 3 > B
p p t _ w < * T D ' = + 4 8 ?\ C B # p p t _ h B C B # p p t _ h B *Y 3 > B
p p t _ h < * T D ' = % ( D3 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * T % ( D ' = -o 6 B w i p e ( u p ) *< 3 < * T DP ' = % ( D7 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * T % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * T D ' =A @B B B
B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * T % ( D ' = + 4 8 ?R C B B C B # p p t _ w B *Y 3 > B
p p t _ w < * T D ' = + 4 8 ?\ C B # p p t _ h B C B # p p t _ h B *Y 3 > B
p p t _ h < * T D ' = % ( D@ ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * T % ( D ' = -o 6 B w i p e ( u p ) *< 3 < * T D ' = % ( D+ ' =4 @B B
B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * T % ( D ' = -g 6 B f a d e *< 3 < * T D ' = % ( D ' =A @B B B
B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * T % ( D ' = + 4 8 ?R C B B C B # p p t _ w B *Y 3 > B
p p t _ w < * T D ' = + 4 8 ?\ C B # p p t _ h B C B # p p t _ h B *Y 3 > B
p p t _ h < * T DE ' = % ( D ' = % ( D ' =A @B B B B 0B % ( ) ) ) ) ? D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * T % ( D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * T % ( D ' = % ( D7 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * T % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * T D ' = % ( D7 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * T % ( D ' = -s 6 B w i p e ( d o w n ) *< 3 < * T D ' = % ( D7 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * T % ( D ' = -s 6 B w i p e ( d o w n ) *< 3 < * T D ' = % ( p D ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * T % ( D ' = % ( p D3 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * T % ( D ' = -o 6 B w i p e ( u p ) *< 3 < * T D ' = % ( @ D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * T % ( D ' = % ( D ' = % ( DD ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * T % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * T D ' = % ( D4 ' = % ( D9 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * "T % ( D ' = -u 6 B w i p e ( r i g h t ) *< 3 < * "T DF ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * #T % ( D ' = -u 6 B w i p e ( r i g h t ) *< 3 < * #T D ' =A @B B ? B B 0B % ( ) ? ) ? D. ' = . 7 B B B B B3 M 0 . 0 0 . 0 L 0 . 2 5 0 . 0 E * 3 >* B
p p t _ x B
p p t _ y = 0 B B < * T D ' =4 @B B ? B B % ( ) ? ) ? D. ' = . 7 B B B B B3 M 0 . 0 0 . 0 L 0 . 2 5 0 . 0 E * 3 >* B
p p t _ x B
p p t _ y = 0 B B < * T D ' =4 @B B ? B B % ( ) ? ) ? D. ' = . 7 B B B B B3 M 0 . 0 0 . 0 L 0 . 2 5 0 . 0 E * 3 >* B
p p t _ x B
p p t _ y = 0 B B < * T D ' =4 @B B ? B B % ( ) ? ) ? D. ' = . 7 B B B B B3 M 0 . 0 0 . 0 L 0 . 2 5 0 . 0 E * 3 >* B
p p t _ x B
p p t _ y = 0 B B < * T D ' =A @B B ? B B 0B % ( ) ? ) ? D. ' = . 7 B B B B B3 M 0 . 0 0 . 0 L 0 . 2 5 0 . 0 E * 3 >* B
p p t _ x B
p p t _ y = 0 B B < * T D ' =4 @B B ? B B % ( ) ? ) ? D. ' = . 7 B B B B B3 M 0 . 0 0 . 0 L 0 . 2 5 0 . 0 E * 3 >* B
p p t _ x B
p p t _ y = 0 B B < * "T D ' =A @B B ? B B 0B % ( ) ? ) ? D. ' = . 7 B B B B B3 M 0 . 0 0 . 0 L 0 . 2 5 0 . 0 E * 3 >* B
p p t _ x B
p p t _ y = 0 B B < * #T Di ' = % ( D ' = % ( D ' =A @B B B
B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * T % ( D ' = + 4 8 ?R C B B C B # p p t _ w B *Y 3 > B
p p t _ w < * T D ' = + 4 8 ?\ C B # p p t _ h B C B # p p t _ h B *Y 3 > B
p p t _ h < * T D ' = % ( D ' = % ( Dg ' =4 @B B B B % ( ) ) ) D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * T % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * T D ' = % ( D7 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * T % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * T D ' = % ( D ' =A @B B B
B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * T % ( D ' = + 4 8 ?R C B B C B # p p t _ w B *Y 3 > B
p p t _ w < * T D ' = + 4 8 ?\ C B # p p t _ h B C B # p p t _ h B *Y 3 > B
p p t _ h < * T D5 ' = % ( DD ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * T % ( D ' = -s 6 B w i p e ( d o w n ) *< 3 < * T D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * !T % ( D ' = % ( D ' =A @B B B B 0B % ( D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * T % ( + +0 + T j + +0 + T j + +0 + T j + +0 + T j + +0 + T j + +0 + T j + +0 + T j + +0 + T j + +0 + T j + +0 + T j + +0 + T j + +0 + T j + +0 + T j + +0 + T j + +0 + !T j + +0 + #T j + +0 + #T j +
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@B D ' =
@B A ? %, ( < + O %, (
< + D| ' = % ( % ( D ' = % ( D ' =4 @B B B
B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * ` % ( D ' = + 4 8 ?R C B B C B # p p t _ w B *Y 3 > B
p p t _ w < * ` D ' = + 4 8 ?\ C B # p p t _ h B C B # p p t _ h B *Y 3 > B
p p t _ h < * ` DY ' = % ( D ' = % ( D ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * 3` % ( D ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * 4` % ( D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * 5` % ( D
' = % ( D ' = % ( D7 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * W` % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * W` D7 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * X` % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * X` DD ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * V` % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * V` D ' = % ( D8 ' =A @B B
B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * T` % ( D ' = -g 6 B f a d e *< 3 < * T` DH ' = % ( D ' = % ( D ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * $` % ( D6 ' =A @B B
B B 0B % ( D ' = -g 6 B f a d e *< 3 < * T` D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * T` % ( D ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * %` % ( D ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * &` % ( D ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * '` % ( D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * (` % ( D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * )` % ( D ' = % ( D ' = % ( D8 ' =A @B B
B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * Y` % ( D ' = -g 6 B f a d e *< 3 < * Y` D
' = % ( D|
' = % ( D ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * ` % ( D6 ' =A @B B
B B 0B % ( D ' = -g 6 B f a d e *< 3 < * Y` D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * Y` % ( D ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * ` % ( D ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * ` % ( D ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * ` % ( D ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * !` % ( D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * "` % ( D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * #` % ( D ' = % ( D ' = % ( D8 ' =A @B B
B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * Z` % ( D ' = -g 6 B f a d e *< 3 < * Z` D ' = % ( D ' = % ( D ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * *` % ( D6 ' =A @B B
B B 0B % ( D ' = -g 6 B f a d e *< 3 < * Z` D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * Z` % ( D ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * +` % ( D ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * ,` % ( D ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * -` % ( D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * .` % ( D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * /` % ( D ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * 0` % ( D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * 1` % ( D ' = % ( D ' =4 @B B ? B B % ( ) ? ) ? ) ? D. ' = . 7 B B B B B3 M 0 . 0 0 . 0 L 0 . 2 5 0 . 0 E * 3 >* B
p p t _ x B
p p t _ y = 0 B B < * *` D ' =4 @B B ? B B % ( ) ? ) ? ) ? D. ' = . 7 B B B B B3 M 0 . 0 0 . 0 L 0 . 2 5 0 . 0 E * 3 >* B
p p t _ x B
p p t _ y = 0 B B < * ,` D ' =4 @B B ? B B % ( ) ? ) ? ) ? D. ' = . 7 B B B B B3 M 0 . 0 0 . 0 L 0 . 2 5 0 . 0 E * 3 >* B
p p t _ x B
p p t _ y = 0 B B < * -` D ' =A @B B ? B B 0B % ( ) ? ) ? ) ? D. ' = . 7 B B B B B3 M 0 . 0 0 . 0 L 0 . 2 5 0 . 0 E * 3 >* B
p p t _ x B
p p t _ y = 0 B B < * .` D ' =A @B B ? B B 0B % ( ) ? ) ? ) ? D. ' = . 7 B B B B B3 M 0 . 0 0 . 0 L 0 . 2 5 0 . 0 E * 3 >* B
p p t _ x B
p p t _ y = 0 B B < * /` D ' =4 @B B ? B B % ( ) ? ) ? ) ? D. ' = . 7 B B B B B3 M 0 . 0 0 . 0 L 0 . 2 5 0 . 0 E * 3 >* B
p p t _ x B
p p t _ y = 0 B B < * 0` D ' =A @B B ? B B 0B % ( ) ? ) ? ) ? D. ' = . 7 B B B B B3 M 0 . 0 0 . 0 L 0 . 2 5 0 . 0 E * 3 >* B
p p t _ x B
p p t _ y = 0 B B < * 1` D ' = % ( D ' = % ( D8 ' =A @B B
B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * [` % ( D ' = -g 6 B f a d e *< 3 < * [` D ' = % ( DO ' = % ( D ' =A @B B B
B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * A` % ( D ' = + 4 8 ?R C B B C B # p p t _ w B *Y 3 > B
p p t _ w < * A` D ' = + 4 8 ?\ C B # p p t _ h B C B # p p t _ h B *Y 3 > B
p p t _ h < * A` D6 ' =A @B B
B B 0B % ( D ' = -g 6 B f a d e *< 3 < * [` D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * [` % ( D ' = % ( D> ' = % ( D ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * 8` % ( D ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * 6` % ( D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * <` % ( D ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * :` % ( D ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * 9` % ( D ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * 7` % ( D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * O` % ( D` ' = % ( D ' = % ( D7 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * =` % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * =` D ' = % ( D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * ?` % ( D ' = % ( D7 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * >` % ( D ' = -s 6 B w i p e ( d o w n ) *< 3 < * >` D ' = % ( D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * @` % ( D ' = % ( D ' = % ( D8 ' =A @B B
B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * \` % ( D ' = -g 6 B f a d e *< 3 < * \` Dm ' = % ( D ' = % ( D ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * D` % ( D6 ' =A @B B
B B 0B % ( D ' = -g 6 B f a d e *< 3 < * \` D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * \` % ( D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * N` % ( D ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * M` % ( D ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * F` % ( D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * H` % ( D ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * C` % ( D ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * E` % ( D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * G` % ( D ' = % ( Dh ' = % ( D ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * P` % ( D ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * Q` % ( D ' = % ( D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * R` % ( D ' = % ( D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * S` % ( DK ' = % ( D ' = % ( D3 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * J` % ( D ' = -o 6 B w i p e ( u p ) *< 3 < * J` D ' = % ( D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * L` % ( D ' = % ( D3 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * I` % ( D ' = -o 6 B w i p e ( u p ) *< 3 < * I` D ' = % ( D ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * K` % ( DY ' = % ( D. ' = % ( D6 ' =A @B B
B B 0B % ( D ' = -g 6 B f a d e *< 3 < * S` D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * S` % ( D6 ' =A @B B
B B 0B % ( D ' = -g 6 B f a d e *< 3 < * R` D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * R` % ( D) ' =4 @B B
B B % ( D ' = -g 6 B f a d e *< 3 < * Q` D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * Q` % ( D) ' =4 @B B
B B % ( D ' = -g 6 B f a d e *< 3 < * P` D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * P` % ( D ' = % ( D ' =4 @B B B B % ( ) ? ) ? D: ' = . 7 B B B B B; M 0 . 0 0 . 0 L 0 . 1 4 9 6 5 0 . 1 1 5 3 8 * 3 >* B
p p t _ x B
p p t _ y = 0 B B A A < * C` D ' =4 @B B B B % ( ) ? ) ? D: ' = . 7 B B B B B; M 0 . 0 0 . 0 L 0 . 1 4 9 6 5 0 . 1 1 5 3 8 * 3 >* B
p p t _ x B
p p t _ y = 0 B B A A < * E` D ' =4 @B B B B % ( ) ? ) ? D: ' = . 7 B B B B B; M 0 . 0 0 . 0 L 0 . 1 4 9 6 5 0 . 1 1 5 3 8 * 3 >* B
p p t _ x B
p p t _ y = 0 B B A A < * F` D ' =A @B B B B 0B % ( ) ? ) ? D: ' = . 7 B B B B B; M 0 . 0 0 . 0 L 0 . 1 4 9 6 5 0 . 1 1 5 3 8 * 3 >* B
p p t _ x B
p p t _ y = 0 B B A A < * G` D ' =A @B B B B 0B % ( ) ? ) ? D: ' = . 7 B B B B B; M 0 . 0 0 . 0 L 0 . 1 4 9 6 5 0 . 1 1 5 3 8 * 3 >* B
p p t _ x B
p p t _ y = 0 B B A A < * H` D ' =4 @B B B B % ( ) ? ) ? D: ' = . 7 B B B B B; M 0 . 0 0 . 0 L 0 . 1 4 9 6 5 0 . 1 1 5 3 8 * 3 >* B
p p t _ x B
p p t _ y = 0 B B A A < * I` D ' =4 @B B B B % ( ) ? ) ? D: ' = . 7 B B B B B; M 0 . 0 0 . 0 L 0 . 1 4 9 6 5 0 . 1 1 5 3 8 * 3 >* B
p p t _ x B
p p t _ y = 0 B B A A < * J` D ' =A @B B B B 0B % ( ) ? ) ? D: ' = . 7 B B B B B; M 0 . 0 0 . 0 L 0 . 1 4 9 6 5 0 . 1 1 5 3 8 * 3 >* B
p p t _ x B
p p t _ y = 0 B B A A < * K` D ' =A @B B B B 0B % ( ) ? ) ? D: ' = . 7 B B B B B; M 0 . 0 0 . 0 L 0 . 1 4 9 6 5 0 . 1 1 5 3 8 * 3 >* B
p p t _ x B
p p t _ y = 0 B B A A < * L` D ' =4 @B B B B % ( ) ? ) ? D: ' = . 7 B B B B B; M 0 . 0 0 . 0 L 0 . 1 4 9 6 5 0 . 1 1 5 3 8 * 3 >* B
p p t _ x B
p p t _ y = 0 B B A A < * M` D ' =A @B B B B 0B % ( ) ? ) ? D: ' = . 7 B B B B B; M 0 . 0 0 . 0 L 0 . 1 4 9 6 5 0 . 1 1 5 3 8 * 3 >* B
p p t _ x B
p p t _ y = 0 B B A A < * N` D ' = % ( D ' = % ( D8 ' =A @B B
B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * ]` % ( D ' = -g 6 B f a d e *< 3 < * ]` + +0 + "` " + +0 + #` " + +0 + (` " + +0 + )` " + +0 + .` " + +0 + .` " + +0 + /` " + +0 + /` " + +0 + 1` " + +0 + 1` " + +0 + 5` " + +0 + <` " + +0 + ?` " + +0 + @` " + +0 + A` " + +0 + G` " + +0 + G` " + +0 + H` " + +0 + H` " + +0 + K` " + +0 + L` " + +0 + L` " + +0 + N` " + +0 + N` " + +0 + O` " + +0 + R` " + +0 + R` " + +0 + S` " + +0 + S` " + +0 + T` " + +0 + T` " + +0 + V` " + +0 + Y` " + +0 + Y` " + +0 + Z` " + +0 + Z` " + +0 + [` " + +0 + [` " + +0 + \` " + +0 + \` " + +0 + ]` " + rP H /% W @ / I V
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$ , Newtons laws of motion jordi s Axis s jordi s 112 Microsoft PowerPoint on @ ? @ @ ߺk@ `Kx G S g ) ' """ ))) UUU MMM BBB 999 | PP 3 f 3 33 f3 3 3 3 f 3f ff f f f 3 f ̙ 3 f f 3 3 3 f 3 3 3 3 33 333 f33 33 33 33 f3 3f3 ff3 f3 f3 f3 3 33 f3 3 ̙3 3 3 33 f3 3 3 3 33 f3 3 3 3 f 3 f f f f f f 3f 33f f3f 3f 3f 3f ff 3ff fff ff ff f 3f ff f ̙f f f 3f f f f f 3f f f 3 33 f 3 f 3f f3 f f 3 3 f ̙ ̙ 3̙ ff ̙ ̙ ̙ 3 f̙ 3 f 3 33 f3 3 3 3 f 3f ff f f f 3 f ̙ 3 f 3 f 3 f 3 33 f3 3 3 3 f 3f ff f f f 3 f ̙ 3 f 3 f ff ff f ff f f ! ___ www 4 ' A x ( x K ʦ """ ))) UUU MMM BBB 999 | PP 3 f 3 33 3f 3 3 3 f f3 ff f f f 3 f 3 f ̙ f 3 3 3 3 f 3 3 3 33 333 33f 33 33 33 3f 3f3 3ff 3f 3f 3f 3 33 3f 3 3 3 3 33 3f 3̙ 3 3 33 3f 3 3 3 f f 3 f f f f f f3 f33 f3f f3 f3 f3 ff ff3 fff ff ff f f3 ff f f f f f3 f̙ f f f f3 f f 3 33 f 3 f f3 3f f f 3 3 f 3 ff ̙ 3 f 3 f 3 33 3f 3 3 3 f f3 ff f f f ̙ ̙3 ̙f ̙ ̙ ̙ 3 f ̙ 3 f 3 f 3 33 3f 3 3 3 f f3 ff f f f 3 f 3 f ̙ 3 f ff ff f ff f f ! ___ www ----------------------------½m-Òssss½¼# =sssݼݼݼ ssssssssü " ssss¼ = sssݽ ># sü¼ " s g= ss mf ss¼o m mC ssss½n m ûmf sssü¶ sl ssüݼ %E sݽ $% ssssss % OIIICssss¼½ݽKqOqOOOIqrssݼ½mIwOIIssssü݇ޘqqsssss¼ݼݼ ssݼ½Esssss¼ݼ¼ ՜. +,D ՜. +,
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A
Arial Times New Roman
Wingdings Arial Unicode MS Symbol Eje Forces & vectors
vectors? Force is a vector Force addition Force decomposition Kinds of forces I Kinds of forces II Kinds of forces III Kinds of forces IV Force diagrams Fuentes usadas Plantilla de diseo Ttulos de diapositiva
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