The 2-kg collar C is free to slide along the smooth shaft AB. Determine the acceleration o...

The 2-kg collar C is free to slide along the smooth shaft AB. Determine the acceleration of collar C if (a) the shaft is fixed from moving, (b) collar A, which is fixed to shaft AB, moves downward at constant velocity along the vertical rod, and (c) collar A is subjected to a downward acceleration of 2 m/s2. In all cases, the collar moves in the plane.