QJEEM20Ph7b79: JEE Main 2020 Physics - Class 11 JEEM20Ph7b79 Solution: A particle of mass m is fixed to one end of a light spring…

Question

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A particle of mass m is fixed to one end of a light spring having force constant k and unstretched length

ℓ

. The other end is fixed. The system is given an angular speed

ω

about the fixed end of the spring such that it rotates in a circle in gravity free space. Then the stretch in the spring is :

Accepted Answer

At elongated position (x),

F_radial = mr

ω^{2}

∴

kx = m

(l + x)

ω^{2}

\Rightarrow

x =

\frac{m ℓ ω^{2}}{k - m ω^{2}}

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