Assume to bodies doing circular motion with the same \(\omega\).

Case 1 : One body is doing circular motion about point \((0,0,0)\) and path has a radius \(R\).The other body is doing circular motion about the point \((0,0,y)\) with radius \(R\).

Case 2 : Both bodies doing circular motion about \((0,0,0)\) with different radius \(r\) and \(R\).

Find the relative angular velocity for both the cases. You sit on the particle with center \((0,0,y)\) for case 1 and on the one with smaller radii (\(r<R\)) for case 2.

**Details and Assumptions**

- Take 3 cases of \(y > R , y < R , y = R \).
- For Case 1 : The both particles have same \(x\) and \(y\) coordinate.
- For Case 2 : Both particles and center are co-linear.

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## Comments

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TopNewestAs their w(omega) are always same relative angular velocity will be w-w=0 in above given cases irrespective of their radius.

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for case 2 - w=ar/R

(w - omega - could not use latex !) (a - the given omega )

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And I think that for case 1 we require their initial x-y positions ......... before they start rotating @Rajdeep Dhingra

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For case 1 ans is 0. For case 2 : I think maybe again 0

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