A cylinder of height \( H \) and diameter \( H / 4 \) is kept on a frictional turntable as shown...

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A cylinder of height \( H \) and diameter \( H / 4 \) is kept on a frictional turntable as shown in figure. The axis of the cylinder is perpendicular to the surface of the table and the distance of axis of the cylinder is \( 2 H \) from the centre of the table. The angular speed of the turntable at which the cylinder will start toppling (assume that friction is sufficient to prevent slipping) is
(1) \( \sqrt{\frac{g}{2}\left(\frac{1}{2}-H\right)} \)
(2) \( \sqrt{g\left(\frac{1}{2}-H\right)} \)
(3) \( \sqrt{\frac{g}{4 H}} \)
(4) \( \sqrt{\frac{g}{8 H}} \)
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