JEE Main Physics question
A rope of mass 0.1 kg is connected at the same height to two opposite walls. It is allowed to hang under its own weight. At the contact point between the rope and the wall, the rope makes an angle θ = 10° with respect to the horizontal. The tension in the rope at its midpoint, between the walls, is (g = 10 ms⁻²)
Answer: (C)
Solution
At the wall, the tension has a vertical component supporting half the rope's weight: sinθ = mg/2 ⟹ = mg/(2sinθ). The horizontal component of tension is the same everywhere along the rope (horizontal
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