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.