A belt is placed around the rim of a 500-lb flywheel and attached as shown to two

Question:

A belt is placed around the rim of a 500-lb flywheel and attached as shown to two springs, each of constant k = 85 lb/in. If end C of the belt is pulled 1.5 in. down and released, the period of vibration of the flywheel is observed to be 0.5 s. Knowing that the initial tension in the belt is sufficient to prevent slipping, determine

(a) The maximum angular velocity of the flywheel,

(b) The centroidal radius of gyration of the flywheel.