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

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.

For a solid cone,

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

Then,

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


For a solid cone,
Let (Xc,Yc) are the coordinates of center of mass.
Then,


Thanks and Regards