A ring attached with a spring is fitted in a smooth rod. The spring is fixed at the outer end of the ord. The mass of the ring is `3kg &` spring constant is `300N//m`. The ring is given a velcoity `'V'` towards the outer end of the rod. And the rod is set to be rotating with an angular velcity `omega`. Then ring will move with constant speed with respect to the rod if `:`
Natural length of spring is same as that of length of rod.

Options

A. angular velocity of rod is increased continuously.
B. `omega =10rad//s`
C. angular velocity of rod is decreased continuously.
D. constant velocity of ring is not possible.

Answer

B

Explanation

For the ring to move in a circle at constant speed the net force on it should be zero. Here spring force will provide the necessar centripetal force.

`:. Kx=mx omega^(2)`
`rArr omega=sqrt((k)/(m))=sqrt((300)/(3))=10 rad//sec. Ans`