A disk is rotating about a vertical axis of rotation without displacing with an initial angular velocity of 10 rad/s. A 40 kg child is sitting 2 meters away from the axis of rotation. The rotational inertia of the disk is 50 kgm2 and the rotational inertia of the child is 80 kgm2. Another 40 kg child jumps onto the disk 3 meters away from the axis of rotation with a rotational inertia of 180 kgm2. Calculate the new angular velocity of the disk and two children.

This is a classic case of conservation of angular momentum. Since there is no external torque so the…

Answered: A disk is rotating about a vertical…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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A disk is rotating about a vertical axis of rotation without displacing with an initial angular velocity of 10 rad/s. A 40 kg child is sitting 2 meters away from the axis of rotation. The rotational inertia of the disk is 50 kgm² and the rotational inertia of the child is 80 kgm². Another 40 kg child jumps onto the disk 3 meters away from the axis of rotation with a rotational inertia of 180 kgm². Calculate the new angular velocity of the disk and two children.

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