Question

1. There is a mass-spring-damper system as shown in Fig. 1 (a) Find the total response(x(t)). In addition, find the transient response and the steady state response in the total response. Assuming, the initial values are zero. (b) Draw the total response using MATLAB or Excel. 2 Ao Fig. 1

Answer 1

and inilid valusarezz20. 2. 2. L and C, = 12. 4 Hece to-laepm given bg, et

ans e 4 2 0.2 0.15 0.1 0.05 0.05 4 Time t

MATLAB code for plot :

t = t = 0:0.01:5;

x = -0.25*exp(-2*t)+(1/12)*exp(-6*t)+(1/6);

plot(t,x);

xlabel('Time t'), ylabel('x(t)');