A weight w is suspended from the mid-point of a rope, whose ends are at the same level. In other to make the rope perfectly horizontal, the force applied to each of its ends must be

Question

A weight w is suspended from the mid-point of a rope, whose ends are at the same level. In other to make the rope perfectly horizontal, the force applied to each of its ends must be (A) less than w (B) equal to w (C) equal to 2 w (D) infinitely large

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/fa40ab11eb0411906533af3ba2bf5080-.png" /> For equilibrium of body m g=2 T cos θ T=(m g/2 cos θ) For the string to be horizontal, θ=90° T =(m g/2 cos 90°) ⇒ T =∞

Q. A weight $w$ is suspended from the mid-point of a rope, whose ends are at the same level. In other to make the rope perfectly horizontal, the force applied to each of its ends must be

less than $w$

equal to $w$

equal to $2 w$

infinitely large

For equilibrium of body
$m g = 2 T cos θ$
$T = \frac{m g}{2 c o s θ}$
For the string to be horizontal, $θ = 9 0^{\circ}$
$T = \frac{m g}{2 c o s 9 0 ^{\circ}}$
$\Rightarrow T = \infty$

Q. A weight w is suspended from the mid-point of a rope, whose ends are at the same level. In other to make the rope perfectly horizontal, the force applied to each of its ends must be

less than w

equal to w

equal to 2w