We are building EduLadder(ELADR) - Protocol

The Eladr Protocol is a decentralized, security and efficiency enhanced Web3 noSQL database powered by IPFS as the data storage layer https://ipfs.io/, and the Cardano block chain as the rewards token platform, https://cardano.org/. It provides a JSON based, IPFS layer 2 solution for data indexing and retrieval in an 'append only' file system built with open source Node.js API libraries.

The ELADR token was designed to incentivize and reward community members as a proof of contribution. Token holders are also granted access to EduLadder.com premium features as well as associated ELADR token enabled apps.

WHITE PAPER Buy Now Try BETA

Real Problems! Real Experts!

Join Our Telegram Channel !


The Eduladder is a community of students, teachers, and programmers. We help you to solve your academic and programming questions fast.
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

Elements-of-Civil-Engineering--Engineering-Mechanics---CV13-OR-CV23-->View question

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
View all questions
Answers

In physics, the parallel axis theorem, also known as Huygens–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 is
I_{\mathrm {cm} }=\int (x^{2}+y^{2})\,dm.
The moment of inertia relative to the axis z′, which is a perpendicular distance d along the x-axis from the centre of mass, is
{\displaystyle I=\int \left[(x+d)^{2}+y^{2}\right]\,dm}
Expanding the brackets yields
{\displaystyle I=\int (x^{2}+y^{2})\,dm+d^{2}\int dm+2d\int x\,dm.}
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:
I=I_{\mathrm {cm} }+md^{2}.


Answerd on:2017-06-14 Answerd By:tarun101

Likes:
Be first to like this answer

Dislikes:
Be first to dislike this answer
Talk about this  Like  Dislike

Type your answer here in no less than 50 words :



Lets together make the web is a better place

We 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 question
Career: Work or do your internship with us.Work with us
Create 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


Checkout our YouTube channel for video tutorials and learn more about Eduladder.

New updates
Searching for :NIFT-UGDate:2023-09-23 03:45:12Done by:Anonymous user(Visitor)

Searching for :GMATDate:2023-09-23 03:28:54Done by:Anonymous user(Visitor)

Searching for :NCERTDate:2023-09-23 03:28:54Done by:Anonymous user(Visitor)

View All

Similar Questions


State and explain theorem of parallel axis. -Physics Cbse class 11
1 Answer

State and prove parallel axis theorem
1 Answer

State and prove Impulse – Momentum theorem. -Physics Cbse class 11
1 Answer

State Work – Kinetic energy theorem and prove it analytically. -Physics Cbse class 11
1 Answer

State and prove Work – Energy theorem for a variable force. Physics Cbse class 11
1 Answer

State and prove Lami’s theorem
1 Answer

State and prove Varignon’s theorem of moments.
1 Answer

Interlimb angle and shape of a fold is best studied in a -gate Geology & Geophysics 2017
1 Answer

Let the signal f t 0 outside the interval T ,T , where T and T 1 2 1 2 are finite. -GATE EC 2015
1 Answer

Average fixed cost curve ________. (Choose the correct alternative)
0 Answer

State and explain work-energy theorem. -Physics CBSE class 11 2016
1 Answer

In the given figure, XY and X’Y’ are two parallel tangents to a circle with centre O and another tangents AB with point of contact C, is intersecting XY at A and X’Y’ at B. Prove that ∠AOB = 90°. Mathematics CBSE class 10 2017
1 Answer

Find the points on the curve y = 12x - x^3, where the tangent drawn is parallel to x-axis. (MATHS-CBSE-12-2018)
1 Answer

State and prove Varigon’s theorem.-Elements of Civil Engineering and Mechanics
1 Answer

State and prove Lami’s theorem.?-Elements of Civil Engineering and Mechanics
1 Answer

Prove that, in a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. Mathematics-CBSE-class-10
1 Answer

What can you say about the motion of an object whose distance-time graph is a straight line parallel to the time axis? - Physics Cbse class 11
1 Answer

What can you say about the motion of an object if its speed-time graph is a straight line parallel to the time axis? - Physics Cbse class 11
1 Answer

An infinitely long wire parallel to the x-axis is kept at z = d and carries a current I in the positive x direction above a superconductor filling the region z ≤ 0 (see figure). The magnetic field B⃗ inside the superconductor is zero so that the field just outside the superconductor is parallel to its surface. The magnetic field due to this configuration at a point (x, y, z > 0) is:
0 Answer

AB and CD are parallel sides of trapezium ABCD. Diagonals AC and BD intersect at O. prove that ar(ΔAOD) = ar(ΔBOC). CBSE class 9 Mathematics
1 Answer

Notes

CG and Visualisation Lab(10CSL67) Vtu prg-8

EE2155 ELECTRICAL CIRCUIT LABORATORY

ME2151 ENGINEERING MECHANICS

CG and Visualisation Lab(10CSL67) Vtu prg-3

EE2151 CIRCUIT THEORY

EC2155 CIRCUITS AND DEVICES LABORATORY

MA2161 MATHEMATICS – II

MA2161 MATHEMATICS – II

CG and Visualisation Lab(10CSL67) Vtu prg-4

MA2211 TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATIONS