With axle and spokes of negligible mass and a thin rim, a certain bicycle wheel has a radius of 0.39 m and weighs 33 N. It can turn on its axle with negligible friction. A man holds the wheel above his head with the axle vertical while he stands on a turntable that is free to rotate without friction. The wheel rotates clockwise, as seen from above, with an angular speed of 50.8 rad/s, and the turntable is initially at rest. The rotational inertia of wheel + man + turntable about the common axis of rotation is 2.1 kg·m2. The man's free hand suddenly stops the rotation of the wheel (relative to the turntable). Determine the resulting angular speed and direction of rotation of the system. (Include the sign. Take clockwise as seen from above to be positive.)
With axle and spokes of negligible mass and a thin rim, a certain bicycle wheel has a radius of 0.39 m and weighs 33 N. It can turn on its axle with negligible friction. A man holds the wheel above his head with the axle vertical while he stands on a turntable that is free to rotate without friction. The wheel rotates clockwise, as seen from above, with an angular speed of 50.8 rad/s, and the turntable is initially at rest. The rotational inertia of wheel + man + turntable about the common axis of rotation is 2.1 kg·m2. The man's free hand suddenly stops the rotation of the wheel (relative to the turntable). Determine the resulting angular speed and direction of rotation of the system. (Include the sign. Take clockwise as seen from above to be positive.)
