Circular MotionHard

Question

The pulleys and string in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle θ should be
      

Options

A.0o
B.30o
C.45o
D.60o

Solution

     
Free body diagram of m is
T = mg        .....(i)
Free body diagram of mass √2 m is
     
2T cosθ = √2 mg        .....(ii)
Dividing eq. (ii) by Eq (i), we get
cos θ = or θ = 45o

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