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A person is standing on a rotating wheel...

A person is standing on a rotating wheel. If the sits on the wheel, then the angular momentum of the system will

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A person is standing on a rotating wheel. If he sits on the wheel, then the angular momentum of the system will

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Figure shows a student, sitting on a stool that can rotate freely about a vertical axis. The student, initially at rest, is holding a bicycle wheel whose rim is loaded with lead and whose moment of inertia is I about its central axis. The wheel is rotating at an angular speed omega_i from an overead perspective, the rotation is counter clockwise. The axis of the wheel point vertical, and the angular momentum vecL_i of the wheel points vertically upward. The student now inverts the wheel, as a result, the student and stool rotate about the stool axis. With what angular speed and direction does the student then rotate? (The moment of inertia of the student+stool+wheel system about the stool axis is I_0 )

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Kinetic energy of a wheel rotating about its central axis is E. Then kinetic energy of another wheel having twice the moment of inertia and half the angular momentum as that of the first wheel is

Kinetic energy of a wheel rotating about its central axis is E. Then kinetic energy of another axis is E. Then kinetic energy of another wheel having twice the moment of inertia and half the angular momentum as that of the first wheel is