Question

The given figure is the part of a horizontally stretched net. Section $AB$ is stretched with a force of $10 N$. The tensions in the sections $BC$ and $BF$ are

• A. 10 N, 11 N
• B. 10 N, 6 N
• C. 10 N, 10 N
• D. can't be calculated due to insufficient data

Answer 1

Answer: (C)

10 N, 10 N

Answer 2

From the figure.

$T_{1}\, \cos \,30^{\circ} =T_{2} \,\cos\, 30^{\circ}$
$\therefore \,T_{1} =T_{2}=T$ (Let)
Again $T_{1} \,\sin \,30^{\circ}+T_{2} \,\sin\, 30^{\circ}=10$
$2 T \,\sin\, 30^{\circ}=10$
$2 T . \frac{1}{2} =10$
$\Rightarrow\, T=10 \,N$
$\therefore$ Tension in section $BC$ and $BF$ are $10\, N$ and $10 \,N$