PHYS171_f11_lecture_35

PHYS171_f11_lecture_35 - PHYS171 Chapter 9 Center of Mass...

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PHYS171 Chapter 9 Center of Mass Once the Center of Mass is defined Newton’s equations may be applied directly. cm ext a M F r r = Force is the external force Mass is the total mass of the closed system Acceleration is the acceleration of the center of mass. = = = = = = = i i i i i i i i i i i i i i F a M a m M dt v d m M dt v d a v m M dt r d m M dt r d v cm cm cm cm cm 1 1 1 1 r r r r r r r r r = i i x m M x 1 cm
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Chapter 9 Center of Mass Consider force applied at two points on an extended object Which results in more rapid left-to-right movement? More rapid motion of the center of mass results from P ushi n g at th e .. . Both re s ult in. 47% 42% 11% 1. Pushing at the center 2. Pushing at the edge 3. Both result in the same Both result in the same motion. Different points on the object will move at different speeds, but the center of mass will follow a=F/M, regardless of where on the object the force is applied.
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PHYS171_f11_lecture_35 - PHYS171 Chapter 9 Center of Mass...

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