Classical Mechanics (Kibble & Berkshire) · Problem 11.12

Lagrange's equations and conservation principles — T.W.B. Kibble, F.H. Berkshire

Physics — Mechanics · rolling-or-sliding-inclined-plane

Problem

Rolling or sliding? A uniform ball is released from rest on a rough plane inclined at angle

\alpha

to the horizontal. The coefficient of friction between the ball and the plane is

\mu

. Will the ball roll or slide down the plane? Find the acceleration of the ball in each case.