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Angular Speed for Equilibrium in Uniform Circular Motion

APPHMC-GEY4GC

Two disks of mass $m_1$ and a block of mass $m_2$ are connected by a string, as shown in the figure above. The disk of mass $m_1$ moves in a circle of radius $R$ with an angular speed $\omega$ to keep the block $m_2$ in equilibrium. The block $m_2$ is now replaced with larger block of mass $2m_2$.

The angular velocity of the disk $m_1$ for the same radius $R$ required to keep $m_2$ in equilibrium is

A

$\omega$

B

$2\omega$

C

$\cfrac{\omega}{2}$

D

$\cfrac{\omega}{\sqrt {2}}$

E

$\sqrt {2} \omega$