Question $3$:

For the system shown to the right, the block slides on a rough surface $($coefficient of friction

$$ inclined at an angle of $$ with respect to vertical. If the block is subject to a periodic

force of the form $F(t)=F0sin(t),$

a$)$ find the equations of motion. Do not neglect gravity.

b$)$ find the amplitude of the steady$-$state response using Mc when

$m=1\mathrm{.}60kg,k=60\frac{N}{m},$

$=300,=0\mathrm{.}125$

$FO=4N,=2\mathrm{.}00ra\frac{d}{s}$