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Parallel And Perpendicular Axis Theorem - Practice Questions & MCQ

Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main

Quick Facts

  • Parallel and Perpendicular Axis theorem is considered one the most difficult concept.

  • 18 Questions around this concept.

Solve by difficulty

For the given uniform square lamina  ABCD,  whose centre is  O  ,

Consider a thin uniform square sheet made of a rigid material. If its side is 'a', mass m and moment of inertia l about one of its diagonals, then :

Consider a uniform square plate of side  a  and mass  m  . The moment of inertia of this plate about an axis perpendicular to its plane and passing through   one of its corners is

A circular hole of radius \frac{R}{4} is made in a thin uniform disc having mass M and radius R, as shown in figure.  The moment of inertia of the remaining portion of the disc about an axis passing through the point O and perpendicular to the plane of the disc is :

Concepts Covered - 1

Parallel and Perpendicular Axis theorem
  1. Parallel Axis Theorem-

I_{bb'}=I_{a a'}+Mh^{2}

b b' is axis parallel to a a' & a a' an axis passing through the centre of mass.


 

  1. Perpendicular Axis theorem-

I_{z}= I_{x}+I_{y}

(for a body in XY plane )

Where I_{z} = moment of inertia about the z axis

I_{x} .I_{y} :moment of inertia about x & y  axis in the plane of body respectively.

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Parallel and Perpendicular Axis theorem

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