The cam and follower of Fig. 7.2A imparts a displacement of y(t), in the form of...

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The cam and follower of Fig. 7.2A imparts a displacement of y(t), in the form of a periodic function, to the lower end of the system, where y(t) is shown in Fig. 7.2B. Derive the steady-state response x(t) by using a Fourier series expansion given m = 10 kg, c = 20 kg/s, k = 1000 N/m, k2 = 1000 N/m, k = 2000 N/m, A = 0.01 m, B = 0.005 m, and T = 2 s, plot the response for 0 - 8 s. x(t) 1 k m y(t) NIM BI y(t) 1 k2 t -3T -2T -T 0 T 2T 3T (a) (b) Figure 7.2: (a) Spring-mass-damper system excited by a cam and follower and the (b) periodic displacement generated at the follower. The cam and follower of Fig. 7.2A imparts a displacement of y(t), in the form of a periodic function, to the lower end of the system, where y(t) is shown in Fig. 7.2B. Derive the steady-state response x(t) by using a Fourier series expansion given m = 10 kg, c = 20 kg/s, k = 1000 N/m, k2 = 1000 N/m, k = 2000 N/m, A = 0.01 m, B = 0.005 m, and T = 2 s, plot the response for 0 - 8 s. x(t) 1 k m y(t) NIM BI y(t) 1 k2 t -3T -2T -T 0 T 2T 3T (a) (b) Figure 7.2: (a) Spring-mass-damper system excited by a cam and follower and the (b) periodic displacement generated at the follower.