Question

Two persons holding a light rope tightly at its ends so that it is horizontal. A $15kg$ weight is attached to the rope at the mid point which now no larger remains horizontal. The minimum tension required to completely straighten the rope is:

• A. $15kg$
• B. $\frac{15}{2}kg$
• C. $5kg$
• D. Infinitely large (or not possible)

Answer 1

The correct option is D Infinitely large (or not possible)

In order to make the rope horizontal

$2T\sin \theta =15gT\sin \theta =\frac{15\left(10\right)}{2}=75$

When rope is horizontal $\theta$ is 0

$sin\theta$ is 0

Hence T should be infinity.