As shown in the figure a mass \( \mathrm{m} \) is rotating freely in a horizontal circle of radi...

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As shown in the figure a mass \( \mathrm{m} \) is rotating freely in a horizontal circle of radius \( 20 \mathrm{~cm} \) in a smooth fixed cone which supports a
\( \mathrm{P} \) stationary mass m, attached to the other end

W of the string passing through smooth hole \( \mathrm{O} \) 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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