320_Physics ProblemsTechnical Physics

320_Physics ProblemsTechnical Physics - 322 Rotation of a...

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322 Rotation of a Rigid Object About a Fixed Axis (c) Suppose the ball is fired from a cart at rest. It moves with acceleration ga x sin θ = down the incline and ag y =− cos perpendicular to the incline. For its range along the ramp, we have yy vt g t t v g xx vt a t dg v g d v g iy i yi ix i x yi yi −= − = −= + =+ F H G I K J = 1 2 00 2 1 2 0 1 2 4 2 2 2 2 22 2 2 cos cos sin cos sin cos (b) In the same time the cart moves t d gM Mm v g d vM m i x c yi c yi + F H G I K J F H G I K J = + 1 2 0 1 4 2 2 2 2 2 2 sin cos sin cos af a f So the ball overshoots the cart by
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