Answered: A disc of mass m and radius R has a…

A disc of mass m and radius R has a concentric hole of radius r. Find the moment of inertia about an axis through its center and perpendicular to its plane?

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter10: Fixed-axis Rotation

Section: Chapter Questions

Problem 8CQ: A massless tether with a masses tied to both ends rotates about a fixed axis through the center. Can...

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Concept explainers

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 deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).

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A disc of mass m and radius R has a concentric hole of radius r. Find the
moment of inertia about an axis through its center and perpendicular to its
plane?

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