1) A force f(T) is applied downward to the mass M in Figure

(a). Find the transfer function from the applied force to the displacement, x1(t), of the mass; that is, find X,(s)IF(s).

(b) A force f(t)is applied downward to the mass Min Figure P2.17(b). Find the transfer function X2(s)IF(s).

(c) Calculate a transfer function for the system shown in Figure P2.17(c). Consider Mt) to be the output and f(t) to be the input (at m = 0.5, B = 2, andK=9.

(d) Calculate a transfer function for the system silo. in Figure g2d7(d).Consider,(t) to be the output and f(t) to be the input,

2. (a) Write a differential equation model few the system Shown in Fig re P2.21.

(b) Derive the transfer function G1(s) = X4s)1F(s).

(c) Derive the transfer function G2(s) = X2(s)/F(s)

3 (a) Write a differential equation model for the mechanical system (the outer case does not rotate).
(b) Derive the transfer function 1i(s)IT(s) for the mechanical system