A ring of mass m is attached by two linear elastic cords with elastic constant k and unstr...

A ring of mass m is attached by two linear elastic cords with elastic constant k and unstretched length L0 < L to a support, as shown. Assuming that the pretension in the cords is large, so that the cords’ deflection due to the ring’s weight can be neglected, find the linearized equation of motion for the case where F(t) = 0 and w(t) = w0 sin wt. In addition, find the response of the system for y(0) = 0 and ẏ(0) = 0.

Figure P9.45