The orbit of a particle moving under the influence of a central force is r0 c. the quantity c is a constant (a) determine the potential energy as a function of r. (b) calculate the angular momentum in terms of c and the total energy e.

Two steel balls, each of mass m, are welded to a light rod of length l and negligible mass and are initially at rest on a smooth horizontal surface. a horizontal force of magnitude f is suddenly applied to the rod as shown. determine (a) the instantaneous acceleration a of the mass center g and (b) the corresponding rate at which the angular velocity of the assembly about g is changing with time.