Figure 1 shows a system with a cart with a mass on it. Do the following:...

 

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Figure 1 shows a system with a cart with a mass on it. Do the following: a) Find the transfer function . Do not plug in any numerical values yet. X2(5) F(S) b) For the remainder of the question, use the parameters m = 1 kg, m = 0.2 kg, k = 1000 Ns c = 1. Use MATLAB to produce the Bode plot (i.e. the "frequency response"). Use this d to predict the steady-state amplitude of x2(t) when the input is F(t) = 3 sin(28.4t). c) Use MATLAB to simulate the system for the input F(t) = 3 sin(28.4t) for a sufficient time the steady-state oscillation is achieved (Hint: use 1sim). Comment on the agreement with answer in b). k x2 000 m1 k 000 F 2c m2 Figure 1: System for Question 2 Figure 1 shows a system with a cart with a mass on it. Do the following: a) Find the transfer function . Do not plug in any numerical values yet. X2(5) F(S) b) For the remainder of the question, use the parameters m = 1 kg, m = 0.2 kg, k = 1000 Ns c = 1. Use MATLAB to produce the Bode plot (i.e. the "frequency response"). Use this d to predict the steady-state amplitude of x2(t) when the input is F(t) = 3 sin(28.4t). c) Use MATLAB to simulate the system for the input F(t) = 3 sin(28.4t) for a sufficient time the steady-state oscillation is achieved (Hint: use 1sim). Comment on the agreement with answer in b). k x2 000 m1 k 000 F 2c m2 Figure 1: System for Question 2