As shown in figure a mass \( m \) is rotating freely in a horizontal circle of radius \( 20 \mat...

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As shown in figure a mass \( m \) is rotating freely in a horizontal circle of radius \( 20 \mathrm{~cm} \) in a smooth fixed cone which supports a stationary mass \( m \), attached to the other end of the string passing through smooth hole \( O \) in cone, hanging vertically. Find the angular velocity of rotation.
(1) \( 5 \mathrm{rad} / \mathrm{s} \)
(2) \( 2 \mathrm{rad} / \mathrm{s} \)
(3) \( 10 \mathrm{rad} / \mathrm{s} \)
(4) \( 15 \mathrm{rad} / \mathrm{s} \)
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