A massless rod is pivoted at point O. A string carrying a mass m at one end is attached…

Physics · JEE Advanced · NTA ExamsOscillations and Waves

A massless rod is pivoted at point O. A string carrying a mass m at one end is attached to the point A on the rod. The period of small vertical oscillation of mass m around its equilibrium position is:
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  1. \(T=2 \pi \frac{a}{b} \sqrt{\frac{m}{k}}\)
  2. \(T=\pi \frac{a}{b} \sqrt{\frac{m}{k}}\)
  3. \(T=2 \pi \frac{b}{a} \sqrt{\frac{m}{k}}\)
  4. \(T=\pi \frac{b}{a} \sqrt{\frac{m}{k}}\)

Answer

(A) T=2 a b m k

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