A hungry Yogi Bear (mass M) found a picnic basket across a deep ravine. He crosses a uniform beam of length L and mass m to reach his treats. One side of the beam is supported by strong hinge providing an unknown force Fhinge and the other by a cable as shown. (a) The figure shows all of the forces acting on the beam. Draw your positive sense of rotation about the axle of the hinge in the figure, define your i and j coordinate system and, for any forces not already along those axes (except Fhinge), draw and label with known variables (m, M, g. L and 8) the components along those axes on the figure. (b) What is the magnitude of the tension in the cable when Yogi is a distance r = L from the hinge? 0 mg Mg Fhinge (c) What is the moment of inertia of the beam+Yogi about the axis of rotation defined by the hinge on the right side of the beam when Yogi is at the end (x = L)? (d) Just as Yogi reached the other end of the beam at x = L, the cable broke. What was the magnitude of the initial angular acceleration of the beam?