First slide

Connected bodies

Question

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

Moderate

A

zero
B

30°
C

45°
D

60°

Solution

The tension in the string T = mg
For equilibrium of mass
$\begin{array}{l} 2 T \cos θ = \sqrt{2} mg or 2 mg \cos θ = \sqrt{2} mg \\ ∴ \cos θ = 1 / \sqrt{2} or θ = 45^{\circ} . \end{array}$

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