A uniform rod has length 87 m and mass 8 kg. A mass of 8 kg is attached at one end. The other end of the rod is pivoted about the horizontal axis. a) determine the torque immediately after the rod-plus-mass system is released from the horizontal position. b) After the rod-plus-mass system is released, it rotates freely. Determine its angular velocity as the rod passes through the vertical direction. Answer in units of s^-1 c) The angle between the instantaneous position of the rod and the initial horizontal direction is 67 degrees. How much potential energy is released in going from 0 degrees to 67 degrees?