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In the figure shown, find out centre of ...

In the figure shown, find out centre of mass of a system of a uniform circular plate of radius `3R` from O in which a hole of radius R is cut whose centre is at `2R` distance from the centre of large circular plate

A

`R//4`

B

`R//5`

C

`R//2`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
`bar(x)=(m_(1)x_(1)+(-m_(2))x_(2))/(m_(1)+(-m_(2)))`
`=(A_(1)x_(1)+(-A_(2))x_(2))/(A_(1)+(-A_(2)))`
`A_(1)=pi(3R)^(2),A_(2)=pi R^(2)`
`x_(1)=O,x_(2)=2R`
`:. Bar(x)-R//4`
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