EASYVIT - VITEEE 2025
National level exam conducted by VIT University, Vellore | Ranked #11 by NIRF for Engg. | NAAC A++ Accredited | Last Date to Apply: 31st March | NO Further Extensions!
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.
-
34 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 I 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
JEE Main 2025: Admit Card Link | Session-1: Most Scoring Concepts | Official Question Paper
JEE Main 2025: Sample Papers | Mock Tests | PYQs | High Scoring Topics | College Predictor
New: Meet Careers360 experts in your city and get guidance on shortlisting colleges
Apply to TOP B.Tech /BE Entrance exams: VITEEE | MET | AEEE | BITSAT
The moment of inertia of a solid sphere, about an axis parallel to its diameter and at a distance of x from it, is 'I(x)'. Which one of the graphs represents the variation of I(x) with x correctly ?
Two identical spherical balls of mass M and radius R each are stuck on two ends of a rod of length 2R and mass M (see figure) The moment of inertia (MR2) of the system about the axis passing perpendicularly through the centre of the rod is :
From the theorem of the perpendicular axis. If the lamina is in the Y-Z plane
The M.I. of a solid cylinder of mass M and radius R about a line parallel to the axis of the cylinder and lying on the surface of the cylinder is
Concepts Covered - 1
Parallel and Perpendicular Axis theorem
-
Parallel Axis Theorem-
$I_{b b^{\prime}}=I_{a a^{\prime}}+M h^2$
$b b^{\prime}$ is axis parallel to $a a^{\prime} \& a a^{\prime}$ an axis passing through the centre of mass.
-
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 $\mathrm{x} \& \mathrm{y}$ axis in the plane of body respectively.
Study it with Videos
Parallel and Perpendicular Axis theorem"Stay in the loop. Receive exam news, study resources, and expert advice!"
Get Answer to all your questions
JEE Main Articles
Back to top