Fig. P 1.6 shows an accelerometer. It is so designed that the position x 2 x 2 of mass with respect to the case is

Fig. P 1.6 shows an accelerometer. It is so designed that the position $x_2$ of mass with respect to the case is approximately proportional to the case acceleration $\frac{d^2{x}_1}{d{t}_2}$. Find the transmittance that relates $x_2$ to the case acceleration, $r\left(t\right)=\frac{d^2{x}_1}{d{t}^2}$ in terms of $K,M$ and $B$. If $M=0.2$, select $K$ and $B$ so that the characteristic polynomial has both roots at -80 .

Case X K oooo M B