Question

Equivalent Euler Angles to Three Rotations the rotation matrix BRGA60y 4A, 30 Find the Euler angles corresponding to

Answer 1

Standard matrices of rotation about there principle areas well A_x,psi = [1 0 0 0 cos phi sin psi 0 -sin psi cos psi]: A_y theta = [cos theta 0 -sin theta 0 1 0 sin theta 0 cos theta] A_z, [hi = [cos phi sin phi 0 -sin phi cos phi 0 0 0 1] B_R_G = A_z, phi A_y, theta A_x, psi B_R_G = [cos theta cos phi cos theta sin phi -sin theta sin psi sin theta cos phi- cos psi sin phi sin psi sin theta sin phi + cos psi cos ssphi sin psi cos theta cos psi sin theta cos phi + sin psi sin phi cos psi sin theta sin phi- sin psi cos phi cos psi cos theta] let B_R_G = [R_11 R_21 R-31 R_12 R_22 R-32 R_13 R_32 R_33] B_R_G = A_z.,60 A_y, 45 A-x,30 from 1 B_R_G = [0.3536 0.6124 -0.7071 -0.5732 0.7392 -.3536 0.7392 0.2803 0.6124]