Question

Figure shows a girder supporting a load of $10,000\, N$. The compression force $F$ in newton in the girderis

• A. $\frac{5000}{\sqrt{3}}$
• B. $\frac{10000}{\sqrt{3}}$
• C. $5000 $
• D. $5000 \sqrt{3}$

Answer 1

Answer: (A)

$2 T \cos 30^{\circ}=10000 N$
$\Rightarrow \frac{2 T \sqrt{3}}{2}=10000 N$
or $T=T=\frac{10000}{\sqrt{3}} N N$
Now,
$F=T \cos 60^{\circ}$
$\Rightarrow F=\left(\frac{10000}{\sqrt{3}}\right)\left(\frac{1}{2}\right) N =\frac{5000}{\sqrt{3}} N$