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The device shown in figure rotates on the vertical axis as shown. The frame has negligible mass as compared to the four masses each of mass m. Initial angular velocity of the system is $ω_{0}$ . Due to an internal mechanism the spokes in the frame lengthen so that the radii of the masses become 2a. Initially, it was ‘a’. What will be the new angular velocity of the system?

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$\frac{ω_{0}}{3}$

$\frac{ω_{0}}{2}$

$\frac{ω_{0}}{4}$

$ω_{0}$

answer is C.

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