Question

A plane is held by a chain AB through hinge joints. The plate is pulled with a force T as shown in figure. The tension in the chain is given by

• A. $\left(\sqrt{3}/2\right)T$
• B. $\left(\sqrt{2}/3\right)T$
• C. $T/2$
• D. $3\sqrt{2}T$

Answer 1

The correct option is D $3\sqrt{2}T$

Taking moment about the hinge

$\Sigma M_o=-T_{AB}\times Ltan45\times sin45+T\times 3L=0$

$\therefore T_{AB}\times L\times 1\times \frac{1}{\sqrt{2}}=T\times 3\times L$

$\therefore T_{AB}=3\sqrt{2}\times T$