In eduladder you can Ask,Answer,Listen,Earn and Download Questions and Question papers.

Watch related videos of your favorite subject.

Connect with students from different parts of the world.

Apply or Post Jobs, Courses ,Internships and Volunteering opportunity. For FREE

See Our team

Wondering how we keep quality?

Got unsolved questions? Ask Questions

GATE
GMAT
CBSE
NCERT
Career
Interview
Railway
UPSC
NID
NIFT-UG
NIFT-PG
PHP
AJAX
JavaScript
Node Js
Shell Script
Research

## State and prove parallel axis theorem

## Elements of Civil Engineering and engineering mechanics

Asked On2017-06-14 06:38:18 by:Aparna-Dasgupta

Taged users:

Likes:

Be first to like this question

Dislikes:

Be first to dislike this question

Talk about this Like Dislike

Download question setAnswersIn physics, the parallel axis theorem, also known as Huygensâ€“Steiner theorem, or just as Steiner's theorem, after Christiaan Huygens and Jakob Steiner, can be used to determine the mass moment of inertia or the second moment of area of a rigid body about any axis, given the body's moment of inertia about a parallel axis through the object's center of gravity and the perpendicular distance between the axes.

Derivation:

We may assume, without loss of generality, that in a Cartesian coordinate system the perpendicular distance between the axes lies along the x-axis and that the centre of mass lies at the origin. The moment of inertia relative to the z-axis isThe moment of inertia relative to the axis zâ€², which is a perpendicular distance d along the x-axis from the centre of mass, is

Expanding the brackets yields

The first term is Icm and the second term becomes md2. The integral in the final term is the x-coordinate of the centre of mass, which is zero by construction. So, the equation becomes:

Likes:

Be first to like this answer

Dislikes:

Be first to dislike this answer

Talk about this Like Dislike

Lets together make the web is a better placeWe made eduladder by keeping the ideology of building a supermarket of all the educational material available under one roof. We are doing it with the help of individual contributors like you, interns and employees. So the resources you are looking for can be easily available and accessible also with the freedom of remix reuse and reshare our content under the terms of creative commons license with attribution required close.

You can also contribute to our vision of "Helping student to pass any exams"with these.Answer a question:You can answer the questions not yet answered in eduladder.How to answer a questionCareer:Work or do your internship with us.Work with usCreate a video:You can teach anything and everything each video should be less than five minutes should cover the idea less than five min.How to upload a video on eduladder