Question

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

• A. $0$
• B. $30$
• C. $45$
• D. $60$

Answer 1

Answer: (C)

$45$

$2T_1\cos \theta =\mathrm{mg}\sqrt{2}$

$T_1=mg$

$2mg\cos \theta =mg\sqrt{2}$

$\cos \theta =\frac{1}{\sqrt{2}}$

$\theta ={45}^{\circ }$