A uniform rope having linear density lambda hangs vertically from ceiling and its lower end is free. A disturbance produced at free end has a speed v0 at point p
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Let m = mass per unit length of the rope, T = tension in the rope at a distance x from the lower end. ∴ T = mxg ∴ v = √(T/m) = √(mxg/m) = √(gx) or v ∝ √x heavy-uniform-rope-hangs-vertically-from-ceiling-with-lower-disturbance-travelling-upward
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