10_P08InstructorSolution

10_P08InstructorSolution - 10.8 Model Model the ball as a...

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10.8. Model: Model the ball as a particle undergoing rolling motion with zero rolling friction. The sum of the ball’s kinetic and gravitational potential energy, therefore, does not change during the rolling motion. Visualize: Solve: Since the quantity g K U + does not change during rolling motion, the energy conservation equations apply. For the linear segment the energy conservation equation 0 g0 1 g1 K U K U + = + is 2 1 1 1 2 mv mgy + = 2 0 0 1 2 mv mgy + 2 2 2 1 0 1 0 1 1 1 (0 m) (0 m/s) 2 2 2 m v mg m mgy mv mgy + = + = For the parabolic part of the track, 1 g1 2 g2 K U K U + = + is 2 2 2 2 2 1 1 2 2 1 2 1 2 1 1 1 1
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