The pulley and strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle $ heta$ should be [image:5_image80.jpeg]

Question

The pulley and strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle $	heta$ should be [image:5_image80.jpeg]

Dr. Abubacker · Accepted Answer

(c) From force diagram shown in figure,
$T = mg$..(i)
$and\ \ 2T\cos{	heta = \sqrt{2}}mg\ \ \ldots(ii)\ $
[image:5_image232.jpeg]
Combing Eqs. (i) and (ii), we have
$2mg\cos{	heta = \sqrt{2}\ mg}$
$or\cos{	heta = \frac{1}{\sqrt{2}}}$
$or\ 	heta = 45{^\circ}$

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

Explanation

Reviewed by Dr. Abubacker

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