With center and spoke of negligible mass, a bicycle wheel has a thin rim of radius 1.14 ft and weight 8.36 lb; it can turn on its axle with negligible friction. A woman holds the wheel above her head with the axis vertical while she stands on a turntable free to rotate without friction; the wheel rotates clockwise, as seen from above, with an angular speed 57.7 radians/sec, and the turntable is initially at rest. The rotational inertia of wheel-plus-woman-plus-turntable about the common axis of rotation is 1.54 slug ft2. (a) The woman's hand suddenly stops the rotation of the wheel (relative to the turntable). Determine the resulting angular velocity (magnitude and direction) of the turntable. (b) The experiment is repeated with noticeable friction introduced into the axle of the wheel, which, starting from the same initial angular speed 57.7 radians/sec, gradually comes to rest (relative to the turntable) while the woman holds the wheel as described above. (The turntable is still free to rotate without friction.) Describe what happens to the system, giving as much quantitative information as the data perm