The average normal strains measured by a strain rosette at angles of 15 degree, 30 degree, and 90 degree counterclockwise from the horizontal x-axis at a point on the free surface of a plane stressed body (E = 200 GPa and v = 0.3}, are +600 mu, + 500 mu, and -300 mu, respectively. Determine: The normal strains, epsilon_x and epsilon_y, and the shear strain, gamma_xy, at the point. The principal strains. epsilon_p|, epsilon_p2, and epsilon__p3, the maximum in-plane shear strain, gamma_1, the maximum shearing strain. gamma_max, and the largest principal strain direction, theta_1. The normal strain, epsilon_n, and the shear strain, gamma_nt, on a plane oriented 30^n clockwise from the horizontal axis. The normal stresses, sigma_x and sigma_y, and the shear stress. tau_xy. The principal stresses, sigma_p1, sigma_p2 and sigma_p3, the maximum in-plane shear stress, yau_p, and the largest principal stress direction. theta_p1, using the answers from part (d). Verify the principal stresses, sigma_p1 and sigma_p2, are correct by substituting the principal strains, epsilon_p1 and epsilon_p2, in the appropriate equation.