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Simple Harmonic Motion question

2020 · 9 Jan · Shift 2 · Q64
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  5. /2020 · 9 Jan · Shift 2 · Q64

Simple Harmonic Motion question

2020 · 9 Jan · Shift 2 · Q64

JEE MainPhysicsSimple Harmonic MotionMCQ+4 / −1
A spring mass system (mass m, spring constant k and natural length lll) rest in equilibrium on a horizontal disc. The free end of the spring is fixed at the centre of the disc. If the disc together with spring mass system, rotates about it's axis with an angular velocity ω\omegaω, (k ≫mω2\gg m{\omega ^2}≫mω2) the relative change in the length of the spring is best given by the option :
  1. A
    mω23k{{m{\omega ^2}} \over {3k}}3kmω2​
  2. B
    mω2k{{m{\omega ^2}} \over k}kmω2​
  3. C
    2mω2k{{2m{\omega ^2}} \over k}k2mω2​
  4. D
    23(mω2k)\sqrt {{2 \over 3}} \left( {{{m{\omega ^2}} \over k}} \right)32​​(kmω2​)
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