Problem $1(25$ points$)$

A $80-$kg machine is supported on an isolator of stiffness $600K\frac{N}{m}.$ The machine causes a vertical disturbance force of $300$ N at a revolution of $3000$ rpm $.$ The damping ratio is $0\mathrm{.}25$ Determine:

a$)$ Amplitude of the motion caused by the force

b$)$ Transmissibility ratio

c$)$ The magnitude of the force transmitted to ground.

d$)$ Plot $T_R$ for $=0\mathrm{.}1,0\mathrm{.}2,$ and $0\mathrm{.}3.($use provided code$).$