need to solution on paper with roughly sketch II$)$ A person stands on a platform, initially at rest, that can rotate freely without friction. The moment of inertia of the person plus the platform is $I_P.$ The person holds a spinning bicycle wheel with its axis horizontal. The wheel has moment of inertia $I_W$ and angular velocity ${}_W.$ What will be the angular velocity ${}_P$ of the platform if the person moves the axis of the wheel so that it points $(a)$ vertically upward, $(b)$ at a $60$ angle to the vertical, $($c$)$ vertically downward? $($d$)$ What will ${}_P$ be if the person reaches up and stops the wheel in part $(a)?$