Consider a “round” rigid body with moment of inertia I = BMR2, where M is the body’s mass, R is the body’s radius, and B is a constant depending on the type of the body.The center of the “round” rigid body is attached to a spring of force constant k, and then the body is made to roll without slipping on a rough horizontal surface. Due to the spring, it is expected the body will oscillate by rolling back and forth from its resting position.B. Among the four “round” rigid bodies shown at the table, for the same masses and radii, which among them will have the most number of cycles per second. Consider a "round" rigid body with moment of inertia I = BMR?, where M is the body's mass, R is thebody's radius, and ß is a constant depending on the type of the body.Rigid BodyUniform hoopUniform solid cylinderUniform spherical shellUniform solid sphere1/2R-2/32/5kThe center of the "round" rigid body is attached to a spring of force constant k, and then the body ismade to roll without slipping on a rough horizontal surface. Due to the spring, it is expected the body willoscillate by rolling back and forth from its resting position.

Given data: Assume that body moves from its rest position by the angle “θ”. Then spring stretched…

Answered: Consider a “round” rigid body with…

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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Consider a “round” rigid body with moment of inertia I = BMR², where M is the body’s mass, R is the body’s radius, and B is a constant depending on the type of the body.

The center of the “round” rigid body is attached to a spring of force constant k, and then the body is made to roll without slipping on a rough horizontal surface. Due to the spring, it is expected the body will oscillate by rolling back and forth from its resting position.

B. Among the four “round” rigid bodies shown at the table, for the same masses and radii, which among them will have the most number of cycles per second.

Consider a "round" rigid body with moment of inertia I = BMR?, where M is the body's mass, R is the
body's radius, and ß is a constant depending on the type of the body.
Rigid Body
Uniform hoop
Uniform solid cylinder
Uniform spherical shell
Uniform solid sphere
1/2
R-
2/3
2/5
k
The center of the "round" rigid body is attached to a spring of force constant k, and then the body is
made to roll without slipping on a rough horizontal surface. Due to the spring, it is expected the body will
oscillate by rolling back and forth from its resting position.

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