A uniform circular disk of mass m=24.0 g and radius r=40.0 cm is suspended vertically from a frictionless fixation point fixed horizontally at a position on its circumference. An electromagnetic radiation beam with an intensity of 10.0 MW / m^2 is incident on the plate in a direction perpendicular to the surface of the plate. If the plate were a complete absorber and the pressure of the radiation causes the disk to rotate. Assuming that the radiation is always perpendicular to the surface of the disk, find the angle θ at which the disk rotates from the vertical when the disk reaches new equilibrium.