The thin rectangular plate is uniformly deformed such that $\epsilon_x = 160 \mu\epsilon$, $\epsilon_y = -600 \mu\epsilon$, and $\gamma_{xy} = 1030 \mu rad$. If $a = 15 mm$, determine
(a) the normal strain $\epsilon_n$ in the plate.
(b) the normal strain $\epsilon_t$ in the plate.
(c) the shear strain $\gamma_{nt}$ in the plate.