Question

The adjacent 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 calculate due to insufficient data

Answer 1

Answer: (C)

10 N, 10 N

Answer 2

By drawing the free body diagram of point B

Let the tension in the section BC and BF are $T _ { 1 }$ and $T _ { 2 }$ respectively.

From Lami's theorem

$\frac { T _ { 1 } } { \sin 120 ^ { \circ } } = \frac { T _ { 2 } } { \sin 120 ^ { \circ } } = \frac { T } { \sin 120 ^ { \circ } }$ ⇒ $T = T _ { 1 } = T _ { 2 } = 10 \mathrm {~N}$