Consider the following rotational and translational mechanical system and the free body diagram of the bar. Assume that the spring is unstreched when is zero and is small. Let m = 0.6 kg, k= 10 N/m, L= 0.8 m, c = 6 N/(m/s), Jo = -= 0.128 kg m. ml 3 www 3m 1Q x(1) 2k www C m T(t) 3k 5/8 L L c(x-Lo) +2k(x-Lo) m T(t) a) By using the translational equation of motion for the mass 3m, show that the transfer function X(s)/(s) is given by X(s)_ _4.8s+16 e(s) 1.8s +6s+30 b) Obtain the rotational equations of motion for the the bar.