The wheel is made from a 5-kg thin ring and two 2-kg slender rods. If the torsional spring...

The wheel is made from a 5-kg thin ring and two 2-kg slender rods. If the torsional spring attached to the wheel’s center has a stiffness k = 2 N • m/rad, so that the torque on the center of the wheel is M = (2θ) N • m, where θ is in radians, determine the maximum angular velocity of the wheel if it is rotated two revolutions and then released from rest.