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Unformatted text preview: Mgh . Because the sphere rolls without slipping, the initial linear and angular speeds are related by SOLVE 1. Make a labeled sketch showing the ball in both its initial and final positions ( Figure 9-34 ). 2. No external forces act on the system, so the work done by external forces is zero, and no slipping occurs, so no energy is dissipated by kinetic friction. Thus, mechanical energy is constant: Answer: 3. Apply conservation of mechanical energy with U i = 0 and K f = 0. Write the total initial kinetic energy K i in terms of the speed and the angular speed ω 1 : Answer: 4. Substitute from and solve for h : Answer:...
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- Spring '08
- Mass, external forces, 2.0 m/s, initial kinetic energy