MCQ
 A disc of radius $R$  is made to oscillate about a horizontal axis passing through its periphery. Its time period would be
  • $2\pi \sqrt {\frac{{3R}}{{2g}}} $
  • B
    $2\pi \sqrt {\frac{{2R}}{{3g}}} $
  • C
    $2\pi \sqrt {\frac{R}{g}} $
  • D
    $2\pi \sqrt {\frac{{2R}}{g}} $

Answer

Correct option: A.
$2\pi \sqrt {\frac{{3R}}{{2g}}} $
a
$T=2 \pi \sqrt{\frac{I}{m g l}}$

$=2 \pi \sqrt{\frac{\frac{3}{2} m r^{2}}{m g r}}=2 \pi \sqrt{\frac{3 r}{2 g}}$

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