The 1-lb top has a center of gravity at point G. If it spins about its axis of symmetry an...

The 1-lb top has a center of gravity at point G. If it spins about its axis of symmetry and precesses about the vertical axis at constant rates of ωs =60 rad/s and ωp = 10 rad/s, respectively, determine the steady state angle θ. The radius of gyration of the top about the z axis is kz = 1 in., and about the x and y axes it is kx = ky = 4 in.