A man has a moment of inertia Iz about the z axis. He is originally at rest and standing o...

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 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°, and (c) turns the wheel downward, θ = 180°. Neglect the effect of holding the wheel a distance d away from the z axis.