A 30-kg block is subjected to a periodic force of

P = 300 sin (5t) Newtons, k = 1500 N/m and c = 300

N.s/m

You are required to do the following:

a) Draw the FBD of the mass

b) Write the differential equation of the system (use

all given numerical values in your equation)

c) Re arrange the equation for Simulink modelling

d) Use Simulink to model the system and output the

following (over a simulation period of 10 seconds):

i. The displacement variation of the mass with time (graphically displayed)

ii. The velocity variation of the mass with time (graphically displayed)

iii. The damping force values (graphically displayed)

e) Repeat the above, but with changing values of c (c= 400 to 1000 in steps of 200

each time) and obtain a plot of the displacement and velocity for each case

f) COMMENT ON YOUR RESULTS IN TERMS OF THE EFFECT OF C ON THE OUTPUT

IN EACH CASE