2. A point mass m is strung on a vertical ring of radius R, and it oscillates freely with respect to its equilibrium point located at the lowest point of the ring. An external moment of force is applied that causes the ring to oscillate about its center in the form α =α cost where a is the angle of rotation. Determine the general movement of the mass m, and under what circumstances this movement enters into resonance, detailing this phenomenon.

2) A massless bar of length L carrying a tip mass m is rigidly connected to a homogenous disk of radius R and mass m as shown below. The disk rolls without slipping on the ground. Note that gravity acts down and that a spring of stiffness k and a dashpot of constant c connect the center of the disk to an oscillating wall and a fixed one respectively. Determine the amplitude of response of the angle 0(t).