Question

Figure shows a girder supporting a load of $10,000N$. 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)

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