Meriam, Kraige & Bolton — Plane Kinetics of Rigid Bodies: Problem 6_165

6/165 A uniform circular disk which rolls with a velocity \(v\) without slipping encounters an abrupt change in the direction of its motion as it rolls onto the incline \(\theta\). Determine the new velocity \(v'\) of the center of the disk as it starts up the incline, and find the fraction \(n\) of the initial energy which is lost because of impact with the incline if \(\theta = 10^\circ\).