A $2-$kg block is subjected to a harmonic force $F=30cos5t.$ If $k1=40\frac{N}{m},k2=60\frac{N}{m},k3=76\frac{N}{m},$ and $c=50N.\frac{s}{m},$ and the initial position and the initial velocity of the block is given by $x0=5cm,$ and $v0=0,$

a$)$ Draw free body diagram of the block.

b$)$ Derive the differential equation of motion for the system.

c$)$ Determine the equation describing its steady$-$state motion.

d$)$ Write the equation for the general motion

Please do the steady state part and part d correct, i already have posted it twice but it was wrong both time.