A rotor B with center of mass G, weight W = 3000 lb, and radius of gyration kG = 15 ft is...

A rotor B with center of mass G, weight W = 3000 lb, and radius of gyration kG = 15 ft is spinning with an angular speed ωB = 1200 rpm when a braking system is applied to it, providing a time-dependent torque M = M0(1 + ct), with M0 = 3000 ft·lb and c = 0.01 s−1. If G is also the geometric center of the rotor and is a fixed point, determine the time ts that it takes to bring the rotor to a stop.

Figure P8.61