A ring of mass m is attached by two linear elastic cords to the vertical supports as shown...

A ring of mass m is attached by two linear elastic cords to the vertical supports as shown. The cords have elastic constant k and unstretched length L0 < L. Assuming that the pretension in the cords is large enough that the deflection of the cords due to the ring’s weight can be neglected, use Newton’s second law to find the linearized equation of motion about y = 0 for the mass m. In addition, determine the natural frequency of the ring’s vibration.

Figure P9.77