First slide

Constraints

Question

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

Easy

A

0°
B

30°
C

45°
D

60°

Solution

$2 Tcos θ = \sqrt{2} mg \Rightarrow 2 mgcos θ = \sqrt{2} mg \Rightarrow \cos θ = \frac{1}{\sqrt{2}} \Rightarrow θ = 45^{\circ}$

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