A uniform rod m1 and having a length L is hanging vertically downward and pin supported at the center of mass of a roller (disc) which rides on a horizontal track. Assuming that the system was initially at rest find the initial acceleration of the roller and angular acceleration of the rod. The roller's mass is m2, a force F1 (located at the pin of the rod and the roller) and a force F2 (located at the tip of the rod) both act horizontally to the right. The radius of the roller is R. Note that gravity acts, and the force vectors remain horizontal.
Choose x to be positive to the right and θ to be positive in the counterclockwise direction.
Find double dot theta and double dot x, both at t=0.