For the plane stressed element below, compute what is asked in each step. When asked to show on Mohr's Circle, please use the provided circle on page $5.$

a$.$ What values do ${}_x,{}_y,$ and ${}_{xy}$ take? Indicate if the stresses are positive or negative.

b$.$ If representing the $({}_x,{}_{xy})$ stress on Mohr's Circle, should the ${}_{xy}$ stress component be represented as clock$-$wise or counter$-$clock$-$wise for the plane which has a surface normal pointing in the positive $x$ axis? $($circle appropriate$)$

clock$-$wise counter$-$clock$-$wise

c$.$ If representing the $({}_y,{}_{xy})$ stress on Mohr's Circle, should the ${}_{xy}$ stress component be represented as clock$-$wise or counter$-$clock$-$wise for the plane which has a surface normal pointing in the positive yaxis? $($circle appropriate$)$

clock$-$wise counter$-$clock$-$wise

d$.$ In representing the above stress element on Mohr's Circle, what would be the normal stress at the center of the circle?

e$.$ What is the radius of Mohr's Circle?