Question

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

• A. 0⁰
• B. 30⁰
• C. 45⁰
• D. 60⁰

Answer 1

Answer: (C)

45⁰

Answer 2

In equilibrium,

For mass √2m, T cosθ + T cosθ = √2mg

And for mass m, T = mg

⇒ 2Tcosθ = 2mg cosθ = √2mg

⇒ θ = $\frac { \pi } { 4 }$ , Hence (3) is the correct choice.