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A sector cut from a uniform disk of radi...

A sector cut from a uniform disk of radius `12cm` and a uniform rod of the same mass bent into shape of an arc are arranged facing each other as shown in the figure. If center of mass of the combination is at the origin, what is the radius of the arc?

A

`8cm`

B

`9cm`

C

`12cm`

D

`18cm`

Text Solution

Verified by Experts

The correct Answer is:
A
Ans.(1)
`(-MRsintheta)/(theta)+(M2xx12)/(3) (sintheta)/(theta)=0,`
where `theta` is half angle `R=8cm`.
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