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MHT CET 2026 (12 May, Shift 2) · Spring Systems

Spring Systems question from MHT CET 2026 (12 May, Shift 2)

Q13MHT CET 2026 · 12 MAY · SHIFT 2Medium

Spring Systems

A spring produces extension ′x′'x' by applying a force ′F′'F' N. A body of mass ′m′'m' suspended from spring oscillates vertically with period ′T′'T'. The mass of the suspended body is (Neglect mass of spring)

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Answer: (a)

  1. Spring constant k=F/xk = F/x.
  2. T=2πmk=2πmxFT = 2\pi\sqrt{\frac{m}{k}} = 2\pi\sqrt{\frac{mx}{F}}
  3. m=T2F4π2xm = \frac{T^2F}{4\pi^2x}
  4. So the answer is (a).
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