Mechanical System : Translational $($Chapter $2$b$)$

Q$5$ Find equation of motion for mass $5$ kg with $x_1(t)$ displacement, and find the transfer function $G(s)=\frac{x_1(s)}{F(s)}$

Q$6$ Find dynamic equation in domain$-$t for the displacement $x_1(t)$ and $x_2(t),$ then find the transfer function, $G(s)=\frac{x_2(s)}{F(s)},$ for the translational mechanical network shown in figure below

Q$7$ Find the transfer function, $G(s)=\frac{x_2(s)}{F(s)},$ for the translational mechanical system shown in Figure

below. $($Hint: place a zero mass at $[$:$x_2(t)$