Question:

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

less than ω

equal to 2ω

infinitely large

equal to ω

For equilibrium of body, mg = 2Tcosθ ⇒ T = mg/2cosθ
For string to be horizontal, θ → 90° ⇒ T = mg/2cosθ → ∞