A solid body rotates with a constant angular velocity o = 0.50 rad/s about a horizontal axis

Question:

A solid body rotates with a constant angular velocity ωo = 0.50 rad/s about a horizontal axis AB. At the moment t = 0 the axis AB starts turning about the vertical with a constant angular acceleration βo = 0.10 rad/s s. Find the angular velocity and angular acceleration of the body after t =3.5 s.