A mass, spring and damper has the well-known mathematical model of Mx + Bx + Kx...

 

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A mass, spring and damper has the well-known mathematical model of Mx + Bx + Kx = f(t) The parameters of the model are M= 2 kg, K = 16 N/m, and B = 4 Ns/m. The force f(t)= 8 N is a step input and is applied at t = 0. (a) Using the state variable approach, solve for x(t) and v(t) for t=0 to 8 sec. (b) Suppose B takes on values of 8, 12 and 24 N-s/m, re-evaluate x(t) and v(t) for t=0 to 8 sec. Plot the responses one plot correspondingly to x(t) and v(t). Your program should use a 'for' loop for selecting the various values of B. A mass, spring and damper has the well-known mathematical model of Mx + Bx + Kx = f(t) The parameters of the model are M= 2 kg, K = 16 N/m, and B = 4 Ns/m. The force f(t)= 8 N is a step input and is applied at t = 0. (a) Using the state variable approach, solve for x(t) and v(t) for t=0 to 8 sec. (b) Suppose B takes on values of 8, 12 and 24 N-s/m, re-evaluate x(t) and v(t) for t=0 to 8 sec. Plot the responses one plot correspondingly to x(t) and v(t). Your program should use a 'for' loop for selecting the various values of B.

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Part a Solution for xt and vt with B 4 Nsm Step 1 Convert to State Space Form The provided equation ... View the full answer