Exam reviewPlease only answer A&D Please draw EOM and FBD! Thanks

1 . Consider the following rotational system that consists of a rotating bar B, with moment f(t) f(t) a J1 b a J1 b k J 2 B2 k Fig. 2 of inertia J1 = 20 Kg m? and length L1 = 2 m supported by a spring-damper suspension as shown in Fig. 1 where k = 1200 N/m and b = 50 N sec/m. A rotating machine results in the excitation force f (t) = 20sinut at a distance a = 1.2 m from the rotating point O. 200 14 \ Com a) Compute the transfer function b @ 1 (s ) Comprise spo godhonda teabone toner G(S) = F(S) where 01(t) is the angular displacement of the bar By. berge b) Compute the worst-case excitation frequency w" that results in the maximum steady-state angular displacement of the bar B1. c) Compute the steady state amplitude of the angular displacement 61 (t) at this excitation frequency w. To eliminate the vibrations of the system at the worst-case excitation frequency w* we include a rotational dynamic vibration absorber B2 with moment of inertia J2 and length L2 = 0.5 m as shown in Fig. 2. d) Compute the transfer function G(s) = - -1 (s) F(s) for the coupled system. e) Determine the value of the moment of inertia J, that will result in the elimination of the vibrations of the bar B, at the excitation frequency w