Question

Find the tension in the string $AB$ loaded with weight $W$ at the middle, when $AB$ is horizontal:

• A. $\frac{W}{2}$
• B. zero
• C. $W$
• D. infinity

Answer 1

The correct option is B zero

Draw FBD for the weight $W$.


Find tension in the string $AB$.

In a position as shown, $2T\cos \theta =W$

$T=\frac{W}{2\cos \theta }$

For $AB$ to be horizontal, $\theta ={90}^{\circ }T\to \infty$

Final answer:$\left(d\right)$