Problem $07\mathrm{.}037-$ Using Mohr's circle, determine the normal and shearing stresses after rotation of the element for the given state of stress.

Solve the following problems using Mohr's circle.

Given: $P=11$ksi

Problem $07\mathrm{.}037.$b $-$ Determine the stress components after counterclockwise rotation of the element for the given state of stress.

Draw Mohr's circle and use it to determine the normal and shearing stresses after the element shown has been rotated through $10$ counterclockwise. $($Round the final answers to two decimal places.$)$

Normal stresses:

${}_{x^{\text{'}}}=$ ksi $(+$ tension; $-$ compression$)$

${}_{y^{\text{'}}}=$ ksi $(+$ tension; $-$ compression$)$

Shearing stress:

${?}^T{x}^{\text{'}}{y}^{\text{'}}=$ ksi $(+$ CCW on the positive $x^{\text{'}}-$face$)$