4. A collar A of mass m may slide freely along a horizontal rod. A bar of mass 3m and length L is connected to A by a smooth joint so that it is contained in a vertical plane, as shown in Figure 4. The system is released from rest in the position where the bar makes a 450 angle with the vertical. Determine
the speed of collar A when the bar becomes vertical. (20%)
Hint: It can be assumed that the speed of the collar is v, the angular velocity of the rod is ω, and the acceleration of gravity is g.