$($b$)$

The stresses acting at a point in a two$-$dimensional stress system is shown in figure determine analytically also verify graphically $($Mohr$\text{'}$s circle$).$

$($i$)$ Direction of principal stresses

$($ii$)$ Magnitude of principal stresses

$($iii$)$ Maximum shear stress

$($iv$)$ Mohr's Circle