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System of Particles and Rotational Motion

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A straight rod of length L has one of its end at the origin an

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A straight rod of length $L$ has one of its end at the origin and the other at $x = L$ . If the mass per unit length of the rod is given by $A x$ where $A$ is a constant, where is its centre of mass?

Name: Video solution 1: A straight rod of length L has one of its end at the origin and the other at x=L. If the mass per unit length of the rod is given by Ax where A is a constant, where is its centre of mass?
Uploaded: 2022-11-29T17:20:25.000Z
Duration: 4 min
Description: Video solution 1: A straight rod of length L has one of its end at the origin and the other at x=L. If the mass per unit length of the rod is given by Ax where A is a constant, where is its centre of mass?

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Updated on: Mar 8, 2023

Book:

Mechanics Volume 2 (DC Pandey)

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Camila Discussed

A straight rod of length

L

has one of its end at the origin and the other at

x = L

. If the mass per unit length of the rod is given by

A x

where

A

is a constant, where is its centre of mass?

10 mins ago

Discuss this question LIVE

10 mins ago

Text solutionVerified

x_{CM} = \frac{\int _{0}^{L} x d m}{\int _{0}^{L} d m} = \frac{\int _{0}^{L} ( X ) ( A x d x )}{\int _{0}^{L} ( A x d x )} = \frac{2}{3} L

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Question Text	A straight rod of length $L$ has one of its end at the origin and the other at $x = L$ . If the mass per unit length of the rod is given by $A x$ where $A$ is a constant, where is its centre of mass?
Updated On	Mar 8, 2023
Topic	System of Particles and Rotational Motion
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 2
Upvotes	266
Avg. Video Duration	5 min

A straight rod of length $L$ has one of its end at the origin and the other at $x = L$ . If the mass per unit length of the rod is given by $A x$ where $A$ is a constant, where is its centre of mass?

Text solutionVerified

Filo tutor solutions (2)

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A straight rod of length L has one of its end at the origin and the other at x=L. If the mass per unit length of the rod is given by Ax where A is a constant, where is its centre of mass?

Text solutionVerified

Filo tutor solutions (2)

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A straight rod of length $L$ has one of its end at the origin and the other at $x = L$ . If the mass per unit length of the rod is given by $A x$ where $A$ is a constant, where is its centre of mass?