A thin rod of given length and given mass m is attached to an ideal hinge and released at rest in the horizontal position as shown. The rod swings down and the far end of the rod collides with a small blob of clay, also with given mass m, which was sitting at rest on a frictionless horizontal surface. The blob sticks to the rod. Assume that the size of the blob is small compared to the length of the rod. Part (a): Calculate the angular acceleration, a, of the rod at the instant immediately after it is released. Present your answer in terms of given parameters. Explain your work. Hint: you do not need to calculate the value of the "Hinge Force" to work this problem. Part (b): Calculate the angular speed, w, of the thin rod in the instant just before the rod collides with the clay blob. Present your answer in terms of given parameters. Explain your work. Part (c): Calculate the angular speed, w2, of the thin rod in the instant just after the rod collides with the clay blob. Present your answer in terms of given parameters. Explain your work. Part (d): Harder:Calculate the angle, Omax, corresponding to the maximum angle that the rod reaches swinging up after the collision. Present your answer in terms of given parameters. Explain your work. gravity max blob m hinge 3 thin rod E l a