Question: Consider the rolling disk of Problem, assume small angles 0 and determine the natural frequency of oscillation about the position 0 = 0 for r = R /4.
Problem: A disk of mass In and radius r rolls without slip inside a rough circular surface- of radius R, as shown in Fig. Derive the differential equation for the angular motion θ by writing two equations of motion, one for the translation of C and one for the rotation of the disk about C, and then eliminating the force at the point of contact A. The angle B can be arbitrarily large.
