A man has a moment of inertia Iz about the z axis. He is originally at rest and standing on a small platform which can turn freely. If he is handed a wheel which is rotating at angular velocity ω and has a moment of inertia I about its spinning axis, determine his angular velocity if

(a) He holds the wheel upright as shown,

(b) Turns the wheel out θ = 90°,

(c) Turns the wheel downward, θ = 180°.