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) 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
4 years ago

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for case 2 - w=ar/R

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

- 4 years ago

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

- 4 years ago

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

- 4 years ago

0 - ?

- 4 years ago

Yup 0.

- 4 years ago