A Rod with mass m and length _ can rotate freely about one of its ends. A point mass with the same mass as the rod (m) can move freely along the length of the rod (ignore friction). The point mass is attached to a spring with a spring constant K and a negligible initial length. Gravity acts. Use Newton's Second Law (this includes the torque equation if you need it) and derive the Equation(s) of motion for this system. m m M K