Solve the below problem:
Q: A 60-mm-radius disk spins at the constant rate ω2 = 4 rad/s about an axis held by a housing attached to a horizontal rod that rotates at the constant rate ω1 = 5 rad/s. For the position shown, determine
(a) The angular acceleration of the disk,
(b) The acceleration of point P on the rim of the disk if θ = 0,
(c) The acceleration of point P on the rim of the disk if θ =90°.