The differential equation for the suspension system is as follows: 1000z7200z + 36000z = 7200u +...

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The differential equation for the suspension system is as follows: 1000z7200z + 36000z = 7200u + 36000u (a) Obtain the expression for Z(s) assuming all initial conditions are zero. Obtain the transfer function G(s)= z(s) u(s) (b) Assume that u(t) = 1 - cos(2t). Plot of z(t) using the wwwwwwww command "lsim". Generate an array of values of t and z(t) in MATLAB using t=0:0.01:7 for plotting. The differential equation for the suspension system is as follows: 1000z7200z + 36000z = 7200u + 36000u (a) Obtain the expression for Z(s) assuming all initial conditions are zero. Obtain the transfer function G(s)= z(s) u(s) (b) Assume that u(t) = 1 - cos(2t). Plot of z(t) using the wwwwwwww command "lsim". Generate an array of values of t and z(t) in MATLAB using t=0:0.01:7 for plotting.