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MHT CET 2020 (16 Oct, Shift 2) · Simple Pendulum

Simple Pendulum question from MHT CET 2020 (16 Oct, Shift 2)

Q69MHT CET 2020 · 16 OCT · SHIFT 2Medium

Simple Pendulum

A simple pendulum of length ll has a bob of mass mm. It executes SHM of small amplitude A. The maximum tension in the string is (g=g = acceleration due to gravity)

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Answer: (b)

  1. At the mean position Tmax=mg+mvmax2lT_{max} = mg + \frac{mv_{max}^2}{l}, with vmax=Ag/lv_{max} = A\sqrt{g/l}.
  2. Tmax=mg+mgA2l2T_{max} = mg + mg\frac{A^2}{l^2}.
  3. So the answer is (b) mg(A2l2+1)mg\left(\frac{A^2}{l^2}+1\right).
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