A Ball Rolling Uphill, A bowling ball rolls without slipping up a ramp that slopes upward at an angle p to the horizontal (see Example 10.7 in Section 10.3). Treat the ball as a uniform, solid sphere, ignoring the finger holes.
(a) Draw the free-body diagram for the ball. Explain why the friction force must be directed uphill.
(b) What is the acceleration of the center of mass of the ball?
(c) What minimum coefficient of static friction is needed to prevent slipping?