(a) A rod of nonuniform cross-section but uniform material is pinned at one end and supported by two springs as shown in Figure 2.43. The rod is displaced slightly from equilibrium and released and...

(a) A rod of nonuniform cross-section but uniform material is pinned at one end and supported by two springs as shown in Figure 2.43. The rod is displaced slightly from equilibrium and released and observed to oscillate with a period of T = 1:5 s. Calculate the moment of inertia of the rod with respect to the hinge axis of rotation if k = 500 N/m and l = 1 m. (b) Calculate the period of oscillation if both springs were on the same side of the rod and all parameter values are the same as in the previous part.