The pulleys and strings shown in the figur

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The pulleys and strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle $\theta $should be ........ $^o$

A

${0}$

B

${30}$

C

${45}$

D

${60}$

The pulleys and strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle $\theta $should be ........ $^o$

From the figure for the equilibrium of the system

$2T\cos \theta = \sqrt 2 mg$ $⇒$ $\cos \theta = \frac{1}{{\sqrt 2 }}$ $⇒$ $\theta = 45^\circ $