The state of stress at a point is given by

\[ \sigma_{x}=300 \mathrm{MPa}, \sigma_{\mathrm{y}}=-200 \mathrm{MPa}, \tau_{x y}=100 \mathrm{MPa}(\mathrm{cw}) \]

Draw the Mohr's circle and determine

(a) the principal stresses and principal planes,

(b) normal and shear stresses on a plane inclined at \(40^{\circ}\) with \(\sigma_{x}\).