On a smooth inclined plane, a body of mass M is attached between two springs. The other…

Physics · JEE Advanced · NTA ExamsOscillations and Waves

On a smooth inclined plane, a body of mass M is attached between two springs. The other ends of the springs are fixed to firm supports. If each spring has force constant k, the period of oscillation of the body (assuming the springs as massless) is                  
  \[\begin{array}{l} \text { M }\\ 0 \end{array}\]
  1. \(2 \pi\left(\frac{M}{K}\right)^{1 / 2}\)
  2. \(2 \pi\left(\frac{2 M}{K}\right)^{1 / 2}\)
  3. \(2 \pi \frac{M g \sin \theta}{2 K}\)
  4. \(2 \pi\left(\frac{2 M g}{K}\right)^{1 / 2}\)

Answer

(A) 2 ( M K )^ 1 / 2

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