A particle oFIGURE mass m is FIGUREixed to one and oFIGURE a light spring having FIGUREorce constant k and unstretched length l. The other end is FIGUREixed. The system is given an angular speed `omega` about the FIGUREixed end oFIGURE the spring such that it rotates in a circle in the gravity FIGUREree space. Then the strength in the spring is:

Options

A. `(m omega^(2)l)/(k)`
B. `(m omega^(2)l)/(k-momega^(2))`
C. `(m omega^(2)l)/(k+momega^(2))`
D. none of these

Answer

B

Explanation

`kx=m omega ^(2)l+m omega ^(2)l`
`(k-m omega ^(2))x=m omega ^(2)l`
`x=(m omega^(2)l)/(k-m omega ^(2)) Ans. (B)`