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Lecture_24_web_2007

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Stationary c of m
A 20 kg person is standing at the far end of a 4m long, 40kg heavy canoe. If the water is calm and the person walks to the front end of the canoe, Q. What is the change in position of the canoe’s center of mass? Center of mass: problem solving Pi x Ci x Pf x Cf x d ( 29 ( 29 P Pi C Ci cm i P C m x m x x m m + = + ( 29 ( 29 P Pf C Cf cm f P C m x m x x m m + = + ( 29 ( 29 cm i cm f x x = P Pi C Ci P Pf C Cf m x m x m x m x + = + ( 29 ( 29 P Pi Pf C Cf Ci m x x m x x - = - ( 29 P C m l d m d - = 4 l m = cf ci x x - = d pi pf x x - = d l - + +

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A 20 kg person is standing at the far end of a 4m long, 40kg heavy canoe. If the water is calm and the person walks to the front end of the canoe, Q. What is the change in position of the canoe’s center of mass? Center of mass: problem solving Pi x Ci x Pf x Cf x d ( 29 ( 29 cm i cm f x x = P Pi C Ci P Pf C Cf m x m x m x m x + = + ( 29 ( 29 P Pi Pf C Cf Ci m x x m x x
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