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
2 years, 4 months 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.

- 2 years, 4 months ago

for case 2 - w=ar/R

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

- 2 years, 4 months ago

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

- 2 years, 4 months ago

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

- 2 years, 4 months ago

0 - ?

- 2 years, 4 months ago

Yup 0.

- 2 years, 4 months ago