M Problem-4. The translational system given has the following mass, friction X(t) and spring values: M = 2kg, fo = 4N-s/
Posted: Fri May 20, 2022 10:47 pm
M Problem-4. The translational system given has the following mass, friction X(t) and spring values: M = 2kg, fo = 4N-s/m and K = 8N/m, (a) Write the equation of motion (as a differential equation). 0000 (b) Represent the system in state-space (where the states are x1 = x ΠΌ. 10 (displacement in m) and X2 = v (velocity in m/s), the input u is force f and the output y is the displacement (x) (C) Write the transfer function of G (s) = X(s)/F(s). fy (d) Write the transfer function of G2(s) = V(s)/F(s). (e) Plot the step response of displacement vs. time. (1) What would be the output x(t) in meters in steady-state when the applied input is f(t) = 2 N. (g) What would be the peak value of output x(t) in meters when the applied input is f(t) = 2 N. (h) Plot the step response of velocity vs. time. (i) What would be the output v(t) in meters per sec in steady-state when the applied input is f(t) = 2 N. (1) What would be the peak value of output v(t) in meters per sec when the applied input is f(t) = 2 N.