A hook is attached to a cord which is wound around the drum. If the drum rotates with an angular acceleration of a = (0.6 q 1/2 ) rad/s 2 , where q is in radians, determine the velocity and acceleration of the hook when t = 5 s, starting from rest (t = 0). Solution we know velocity = r*w and a=(0.6*q^1/2) angular vel at time t =Wo+a*t;Wo=0(as it is at rest) w=(0.6*q^1/2)t =5(0.6*q^1/2) v=r*w =0.2 *5*(0.6*q^1/2)=0.6*q^1/2 a=v^2/r =0.36 *q/0.2 =18 *q .