JEE Main & Advanced Physics Simple Harmonic Motion Question Bank Critical Thinking

  • question_answer
    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                                                                  [NSEP 1994]

    A)            \[2\pi {{\left( \frac{m}{2K} \right)}^{1/2}}\]

    B)            \[2\pi {{\left( \frac{2M}{K} \right)}^{1/2}}\]

    C)            \[2\pi \frac{Mg\sin \theta }{2K}\]

    D)            \[2\pi {{\left( \frac{2Mg}{K} \right)}^{1/2}}\]

    Correct Answer: A

    Solution :

               Slope is irrelevant hence \[T=2\pi {{\left( \frac{M}{2K} \right)}^{1/2}}\]


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