Problem 2. Come up with 5 different transfer functions (tf) that will yield critically damped response. Justify why the response will be critically damped and sketch the response and plot the poles on s-plane

R(S) s+5 Find Closed Loop Transfer function XIS K s+2 s+3 Y(s)

Part A and B  SOLVE CAREFULLY!! Please Write Clearly and Box the final Answer for both

The mass spring damper system shown in the figure below. Derive the transfer function relating the input displacement, u(t) to the output displacement, x(t). The parameter values are as follows: m = 1 kg, k1 = 2 N/m, c1 = 1 Ns/m, k2= 1 N/m and c2 = 2 Ns/m. What is the settling time of the system's response to a unit step input? и ki k2 WWW. ww. m C2 O 2.31 seconds O 2.67 seconds O 3,27 seconds O 4.06 seconds O o o o