Q$2$: $(10$ points$)$ Consider the Mohr's circle $($shown to the right$)$ for an element. The principal stresses on the element related to this plot occur at an orientation $30$ degrees C$.$C$.$W$.$ from the initial stress configuration $($original $x,y$ axes$).$

a$)$ Determine the principal stresses.

b$)$ Determine the initial stress configuration $($ x and y axes$).$

c$)$ Determine the maximum shear stress magnitude and the angle it occurs at relative to the initial stress configuration.