1. A slender bar of mass m shown in Figure 1 is initially supported by a frictionless pivot at point O and a cable attached at point B. When the cable fails suddenly at t = 0, solve the following problems: (a) Based on the given conditions in Figure 1, derive the mass moment of inertia of the bar. (b) Draw a free-body diagram and derive the EOM as a function of using the Newtonian approach. (c) Use the Newtonian approach (i.e., the force and moment equations) to derive the EOM. (d) State the initial conditions. (e) Based on the initial conditions, find the reaction force components at point O as a function of 0. What is the maximum amplitude of the reaction force? a a a Cable a/2 Figure 1: Bar rotating about pin joint O.