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how to calculate the centre of mass for a ring and a cone or frustum

how to calculate the centre of mass for a ring and a cone or frustum

Grade:11

2 Answers

Saurabh Kumar
askIITians Faculty 2400 Points
9 years ago
For a continuous mass distribution, consider a small mass element which would of length ‘dl’, i.r. R.dø at a distance R.
Use tyhe formaula to get the cenmtre of mass, which is in the form of integration.
Apply the limit and get the enswer.
245-1498_qwqw.PNG
For a solid cone,

Let (Xc,Yc) are the coordinates of center of mass.

Then,
245-1195_qwqw22.PNG
Rishi Sharma
askIITians Faculty 646 Points
3 years ago
Dear Student,
Please find below the solution to your problem.

For a continuous mass distribution, consider a small mass element which would of length ‘dl’, i.r. R.dø at a distance R. Use tyhe formaula to get the cenmtre of mass, which is in the form of integration. Apply the limit and get the answer
645-1102_2222222222222222222222222222222222.png

For a solid cone,
Let (Xc,Yc) are the coordinates of center of mass.
Then,
645-245_3333333333333333333333333333333.png

Thanks and Regards

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