Question

Determine the tensions $T_2$ and $T_1$ in the strings as shown in figure.

• A. $22.63N,45.31N$
• B. $39.2N,78.4N$
• C. $39.2N,67.8N$
• D. $39.2N,45.31N$

Answer 1

The correct option is A $22.63N,45.31N$

Resolving the tension $T_1$ along horizontal and vertical directions. As the body is in equilibrium,
$T_1\sin {60}^{\circ }=4\times 9.8N$ ...(i)
$T_1\cos {60}^{\circ }=T_2$ ...(ii)
$T_1=\frac{4\times 9.8}{\sin {60}^{\circ }}$
$\frac{4\times 9.8\times 2}{\sqrt{3}}=45.26N$
$T_2=T_1\cos {60}^{\circ }$
$=45.26\times 0.5$
$=22.63N$