Meriam, Kraige & Bolton — Plane Kinetics of Rigid Bodies: Problem 6_96

6/96 The two wheels of Prob. 6/62, shown again here, represent two extreme conditions of distribution of mass. For case A all of the mass \( m \) is assumed to be concentrated in the center of the hoop in the axial bar of negligible diameter. For case B all of the mass \( m \) is assumed to be concentrated in the rim. Determine the speed of the center of each hoop after it has traveled a distance \( x \) down the incline from rest. The hoops roll without slipping.