JEE Main & Advanced Sample Paper JEE Main - Mock Test - 14

  • question_answer
    A disc passes through a pin at the rim and is capable of oscillating f freely. The period of oscillation of the disc is                 

    A) \[T=2\pi \sqrt{\frac{2}{3}\frac{R}{g}}\]             

    B) \[T=2\pi \sqrt{\frac{4}{3}\frac{R}{g}}\]

    C) \[T=2\pi \sqrt{\frac{3}{2}\frac{R}{g}}\] 

    D)  none of these

    Correct Answer: C

    Solution :

    [c] :\[I=\frac{M{{R}^{2}}}{2}+M{{R}^{2}}\](By parallel axis theorem: \[T=2\pi \sqrt{\frac{I}{Mgd}}=2\pi \sqrt{\frac{3}{2}\frac{R}{g}}\]


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