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:

weather forecasts are done by collecting data about the current state of the atmosphere mainly the temperature, humidity and wind and using meteorology, to determine the atmosphere that evolves over time. the h and l mean the high and low pressure. the red strip is a warm front. the blue strip is a cold front. the blue and red strip is a stationary front. the purple strip is a occluded front.

explanation: