Consider the spring-mass-damper system defined by (all parameters are in SI units) 4� + 24� + 100� = 16���5� Assume zero initial conditions. Complete following steps. Part I a. Determine if the system is underdamped, critically damped or overdamped. b. Compute the steady-state response xp c. Compute the transient response xh d. Total response x(t) = xh + xp f. Plot x(t)

a) The system is under-damped

b) The steady state response,  

c) The transient response,

d) The total response,

x(t) was plotted on matlab

Explanation:

a) The equation is : ............(1)

The general equation of a spring-mass-damper system is given by:

....................(2)

Comparing equation (1) with equation (2)

Since , the system is under-damped

b) Take the inverse laplace transform of equation (1)

Taking the Inverse laplace transform of X(s)

The steady state response is:

c) The transient response is:

d) The total response:

reserve is the answer

answer( sicar );