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 gKU+does not change during rolling motion, the energy conservation equations apply. For the linear segment the energy conservation equation 0g01g1KUKU+=+is 21112mvmgy20012mvmgy+22210101(0 m)(0 m/s)2m vmgmmgymvmgy⇒+=+⇒=For the parabolic part of the track, 1g1 2g2KU+=+is 222121 2
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This note was uploaded on 12/10/2011 for the course PHYS 1211 taught by Professor Geller during the Fall '09 term at UGA.