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

Moderate

A

0°
B

30°
C

45°
D

60°

Solution

From the figure for the equilibrium of the system
2T cos $θ$ = $\sqrt{2}$ mg $\Rightarrow$ cos $θ$ = $\frac{1}{\sqrt{2}} \Rightarrow θ = 45^{0}$

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