Wheels A and B have weights of 150 lb and 1001b, respectively. Initially, wheel A rotate...

Wheels A and B have weights of 150 lb and 1001b, respectively. Initially, wheel A rotates clockwise with a constant angular velocity of ω= 100 rad/s and wheel B is at rest. If A is brought into contact with B, determine the time required for both wheels to attain the same angular velocity. The coefficient of kinetic friction between the two wheels is = 0.3 and the radii of gyration of A and B about their respective centers of mass are = 1 ft and = 0.75 ft. Neglect the weight of link AC.