A ring of mass `m` and radius `R` is being rotated about its axis with constant angular velocity `omega` in the gravity free space. Find tension in the ring.

Options

A. `zero`
B. `(1)/(2)momega^(2)r^(2)`
C. `momega^(2)r^(2)`
D. `mromega^(2)`

Answer

C

Explanation

`m:` mass per unit length
`m'=mrd theta`
`2Tsin(d theta)/(2)=m'omega^(2)r`
`Txx(d theta)/(2)=mr d thetaomega^(2)r`
`T=momega^(2)r^(2)`