Please Help

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.

#Mechanics

Easy Math Editor

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Comments

for case 2 - w=ar/R

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

Parth Bhardwaj - 5 years, 5 months ago

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

Parth Bhardwaj - 5 years, 5 months ago

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

Rajdeep Dhingra - 5 years, 5 months ago

@Rajdeep Dhingra – 0 - ?

Parth Bhardwaj - 5 years, 5 months ago

@Parth Bhardwaj – Yup 0.

Rajdeep Dhingra - 5 years, 5 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$