Moment of Inertia of Systems Video Lessons

Example

# Problem: Monica stands at the edge of a circular platform that is slowly rotating on a frictionless axle. She then walks toward the opposite edge, passing through the platform's center. Describe the motion of the platform as Monica makes her trip. Drag the terms on the left to the appropriate blanks on the right to complete the sentences. A. Consider the Monica-platform system to be isolated (hence the frictionless axle) so that the angular momentum is conserved. As Monica walks toward the center the moment of inertia of the system I ______ so the angular velocity ω _____________ because angular momentum L = Iω __________B. Once she passes the center and gets closer to the opposite edge the moment of inertia ____________until it is__________. Hence the angular velocity__________ until it is ___________

###### FREE Expert Solution

At the peak position, the radius of the body decreases since each segment in the system moves closer to the rotational axis.

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###### Problem Details

Monica stands at the edge of a circular platform that is slowly rotating on a frictionless axle. She then walks toward the opposite edge, passing through the platform's center. Describe the motion of the platform as Monica makes her trip. Drag the terms on the left to the appropriate blanks on the right to complete the sentences.

A. Consider the Monica-platform system to be isolated (hence the frictionless axle) so that the angular momentum is conserved. As Monica walks toward the center the moment of inertia of the system I ______ so the angular velocity ω _____________ because angular momentum L = Iω __________

B. Once she passes the center and gets closer to the opposite edge the moment of inertia ____________until it is__________.

Hence the angular velocity__________ until it is ___________