(t) and x2(t) respectively. An external input force f (t) is applied directly to the mass. X1(s)(a) (10 Points) Find the transfer function *1S)F(s) \frac{X_{1}(s)}{F(s)}=\frac{[] s+[]}{[] s^{3}+[] s^{2}+[] s+[]} p) (5 points) For a step input f (t) = fo ·u(t), use the initial value theorem to find x, (0) and the final value theorem to find x1 ss. (Hint: If you had trouble obtaining the transfer function use physical reasoning to solve the problem.) х, (0) — =X1,ss (c) (5 Points) The parameter values are as follows: m = 1 kg, b = 30 N-s/m, k = k2 = k3 =100 nm The magnitude of the input step is input is f =150 n which of the following graphs best represents the response of the system

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