PROBLEM 9.114 The quarter ring shown has a mass m and was cut from a thin, uniform plate. Knowing that r = r2, determine the mass moment of inertia of the quarter ring with respect to (a) the axis AA', (b) the centroidal axis CC' that is perpendicular to the plane of the quarter ring. -B' B A

PROBLEM 9.114 The quarter ring shown has a mass m and was cut from a thin, uniform plate. Knowing that r = r2, determine the mass moment of inertia of the quarter ring with respect to (a) the axis AA', (b) the centroidal axis CC' that is perpendicular to the plane of the quarter ring. -B' B A

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Dependence on mechanical properties

The mechanical properties of materials are those structures that include the reaction to the load used. Metal switching features determine the scope of the usefulness of the content and establish the expected service life. Machine structures are also used to help distinguish and identify material objects. The most common mechanical properties considered are strength, ductility, stiffness, impact resistance, and resilience to fractures.

Question

Answers are

a) (25/64) mr₂²

b) (25/32) mr₂²

Please show solution that involves mass moment of inertia and NOT area moment of inertia.

A'
PROBLEM 9.114
The quarter ring shown has a mass m and was cut from a thin, uniform
plate. Knowing that r, = r2, determine the mass moment of inertia of the
quarter ring with respect to (a) the axis AA', (b) the centroidal axis CC' that
is perpendicular to the plane of the quarter ring.
B'
B'
C'

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