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

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a

5 rad/s

b

2 rad/s

c

10 rad/s

d

15 rad/s

answer is C.

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Detailed Solution

mgcos⁡53∘+T=mω2Rsin⁡53∘ .....(i)T=mg .....(ii)From (i) and (ii), we get ω=10 rad/s

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