with its lower end free. A disturbance on the rope travelling upward from the lower end has a velocity v a distance x from the lower end.
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A heavy uniform rope hangs vertically from the ceiling, with its lower end free. A disturbance on the rope travelling upward from the lower end has a velocity v a distance x from the lower end. A heavy uniform rope hangs vertically from the ceiling with its lower end free. A disturbance on the rope [...]