A grinding wheel is a uniform cylinder with a radius of 8.25 cmcm and a mass of 0.400 kgkg . Part A. Calculate its moment of inertia about its center. Part B. Calculate the applied torque needed to accelerate it from rest to 1700 rpmrpm in 4.50 ss if it is known to slow down from 1750 rpmrpm to rest in 55.5 ss .

A solid 0.6150 kg ball rolls without slipping down a track toward a vertical loop of radius ?=0.7350 m. What minimum translational speed ?minvmin must the ball have when it is a height H=1.111 m above the bottom of the loop in order to complete the loop without falling off the track? Assume that the radius of the ball itself is much smaller than the loop radius ?R. Use g=9.810 m/s^2 for the acceleration due to gravity.

A horizontal, uniform, 8.00-kg, stationary, solid disk with a radius of 80.0 cm is pivoted at its center such that the plane of the disk is parallel to level ground. A boy applies a tangential force of 40.0 N on the disk by pulling on a rope that is inserted in a side groove of the disk. Through what total angle will the disk rotate in 5.00 s?   a. 124 rad   b. 156 rad   c. 108 rad   d. 140 rad   e. 92.0 rad

Bob rolls a hollow sphere with a mass M = 6.82 kg and radius R = 10.9 cm up a hillside, giving it an initial kinetic energy of Ki.  It rolls over the top of the hill of height h and keeps going.  The ball rolls without slipping the whole way, but it loses Wnc due to non-conservative forces between the foot of the hill and the top. a.  Find its rotational inertia. b.  Given the height of the hill is h = 1.6 m, and Ki = 135 J, find the total kinetic energy Ktot at the top of the hill. c.  Find the translational velocity at  the top of the hill.