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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.

Note by Rajdeep Dhingra
11 months, 1 week ago

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As their w(omega) are always same relative angular velocity will be w-w=0 in above given cases irrespective of their radius. Naman Kapoor · 11 months, 1 week ago

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for case 2 - w=ar/R

(w - omega - could not use latex !) (a - the given omega ) Parth Bhardwaj · 11 months, 1 week ago

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@Parth Bhardwaj And I think that for case 1 we require their initial x-y positions ......... before they start rotating @Rajdeep Dhingra Parth Bhardwaj · 11 months, 1 week ago

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@Parth Bhardwaj For case 1 ans is 0. For case 2 : I think maybe again 0 Rajdeep Dhingra · 11 months, 1 week ago

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@Rajdeep Dhingra 0 - ? Parth Bhardwaj · 11 months, 1 week ago

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@Parth Bhardwaj Yup 0. Rajdeep Dhingra · 11 months, 1 week ago

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