An Introduction to Physical Science
An Introduction to Physical Science
14th Edition
ISBN: 9781305079137
Author: James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher: Cengage Learning
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Rigid Body
A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.
Rigid Body Dynamics
Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we …
Question

Below is a sketch of the toy on a rotor ride at the moment after the floor drops. The rotor has a radius of R and the toy has mass m. Assume the angular velocity is constant, and the toy is not slipping downward.

write Newton’s Second Law for the x and y directions.

Use algebra and your equations above to predict the minimum angular velocity ωmin​ necessary to keep the toy “stuck” to the side of the rotation tube. Express your answer in terms of g, μs, R. (nonumbers yet). Show all of your work and your final result below.

R Toy
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Transcribed Image Text:R Toy
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