A solid disk of mass M = 9.5 kg and radius R = 0.97 m rotates in the z-y plane as shown. Write an expression for the magnitude of the net torque required for the disc to achieve a given rotational speed when starting from rest in terms of M, R, ω, and t. What is an expression for the force that produces this torque if it is applied to the edge of the disc and in a direction that is tangent to the disc in terms of τ and R? If, as soon as the angular speed is ω = 44 rad/s, the force is immediately removed and a mass m = 0.65 kg is dropped at r = 0.65 m on the disc and sticks there, what would be the new rotational velocity of the disc in rad/s?

A solid disk of mass M = 9.5 kg and radius R = 0.97 m rotates in the z-y plane as shown. Write an expression for the magnitude of the net torque required for the disc to achieve a given rotational speed when starting from rest in terms of M, R, ω, and t. What is an expression for the force that produces this torque if it is applied to the edge of the disc and in a direction that is tangent to the disc in terms of τ and R? If, as soon as the angular speed is ω = 44 rad/s, the force is immediately removed and a mass m = 0.65 kg is dropped at r = 0.65 m on the disc and sticks there, what would be the new rotational velocity of the disc in rad/s?