3. (40 points) A slenderuniform rod ofmass m, length L, and moment ofnertia IG = ML2 (around the center of gravity) is released from rest from the position shown below. Assume there is no friction between the ground and the rod. (a). Draw the free body diagram 10 pts.) (b). What is (a)x, where G is the center of gravity? (5 pts) (c). Write an equation that relates the acceleration of G to that of point A (contact point with the ground), using w, , 0 and L. (10 pts.) For the next part, we wsdlve the problem for the instant that the rod is releatleid. use w=0but a =0. (d). Using parts (a) and (c)write down 3 (possibly coupled) equations that can used to solve for N, a and day. Simplify the equations, but you do not need to solve them.e (10 pts.) (e). What is the acceleration of end A? (5 pts.) A L m