Sil by hand please not ai please step by stepPROBLEM

A piezoceramic element $($PZT$-5$H$)$ with length $l_c=2^{\text{'}\text{'}},$ width $b_c=1^{\text{'}\text{'}}$ and thickness $t_c={0\mathrm{.}012}^{\text{'}\text{'}}$ is applied an electric field of $150$ volts along its polarized direction $(3-$axis$).$ Manufacturer supplied material constants are as follows:

$d_{31}=-274{10}^{-12}\frac{m}{V}$

$d_{33}=593{10}^{-12}\frac{m}{V}$

$E_c=10\mathrm{.}5{10}^6$

$e_{33}=30\mathrm{.}1{10}^{-9}$Fara$\frac{d}{m}$

$($a$)$ Calculate its maximum free strains in three directions.

$($b$)$ Calculate block force $F$ along axial direction $(1-$axis$).$

$($c$)$ If this piezoceramic element is pulled along the axial direction with a force of $10$ lbs $,$ determine the voltage across its surface.