Question

A 1.90 kg solid, uniform ball of radius 0.200 m is released from rest at point A in the figure below, its center of gravity a distance of 1.90 m above the ground. The ball rolls without slipping to the bottom of an incline and back up to point B where it is launched vertically into the air. The ball then rises to its maximum height hmax at point C.

a) At point B, find the ball's translational speed vB (in m/s).= 0 1.90 m max 0.300 m

b) At point B, find the ball's rotational speed ωB (in rad/s).

c) At point C, find the ball's rotational speed ωC (in rad/s).

d) At point C, find the maximum height hmax of the ball's center of gravity (in m).

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Answer #1

Kerst = 1 2 3 w 2 - 1 2 ( MR?) (m² = 4 m2 KE trang - 12 m2 = 2 m 2 ke / mv ² + 1 2 = 72 m2 = 0.7 m2 & PEA + KE = PEA + KEA Mg

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