Question

The moment of inertia of a _A_ body about an axis _B_ to its plane is equal to the sum of its moments of inertia about two _C_ axes concurrent with perpendicular axis and lying in the plane of the body. Here, A, B, and C refer to: (a) three dimensional, perpendicular, and perpendicular (b) planar, perpendicular, and parallel (c) planar, perpendicular, and perpendicular (d) three dimensional, parallel, and perpendicular

Name: Problem 65, Chapter 5: Objective Physics : NEET 2020 Examination textbook Gurukul Oswal
Uploaded: 2021-10-01T13:30:26-08:00
Duration: 1 min 47 s
Channel: Dheeraj Sharma

   The moment of inertia of a ___A___ body about an axis ___B___ to its plane is equal to the sum of its moments of inertia about two ___C___ axes concurrent with perpendicular axis and lying in the plane of the body. Here, A, B, and C refer to:
(a) three dimensional, perpendicular, and perpendicular
(b) planar, perpendicular, and parallel
(c) planar, perpendicular, and perpendicular
(d) three dimensional, parallel, and perpendicular

Objective Physics : NEET 2020 Examination textbook Gurukul Oswal

Gurukul Oswal… 2020 Edition

Chapter 5, Problem 65

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Solved by Expert Dheeraj Sharma

10/01/2021

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It depends on both the mass of the body and its distribution of mass around the axis of rotation. Show more…

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The moment of inertia of a ___A___ body about an axis ___B___ to its plane is equal to the sum of its moments of inertia about two ___C___ axes concurrent with perpendicular axis and lying in the plane of the body. Here, A, B, and C refer to: (a) three dimensional, perpendicular, and perpendicular (b) planar, perpendicular, and parallel (c) planar, perpendicular, and perpendicular (d) three dimensional, parallel, and perpendicular

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Key Concepts

Moment of Inertia

This is a physical quantity that represents an object's resistance to changes in its rotational motion about an axis. It depends on both the mass of the object and the distribution of that mass relative to the chosen axis of rotation.

Planar Body

A planar body, or lamina, is an object whose mass is distributed primarily in a two-dimensional plane. In problems involving planar bodies, it is often assumed that the thickness is negligible, simplifying the analysis of rotational properties.

Perpendicular Axis Theorem

The perpendicular axis theorem states that for a planar body, the moment of inertia about an axis perpendicular to its plane is equal to the sum of the moments of inertia about two mutually perpendicular axes lying in the plane and intersecting at a common point. This theorem is particularly useful in solving problems related to the rotational dynamics of flat, two-dimensional objects.

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