P17_023 - 23. (a) The wave speed at any point on the rope...

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23. (a) The wave speed at any point on the rope is given by v = p τ/µ ,whe re τ is the tension at that point and µ is the linear mass density. Because the rope is hanging the tension varies from point to point. Consider a point on the rope a distance y from the bottom end. The forces acting on it are the weight of the rope below it, pulling down, and the tension, pulling up. Since the rope is in
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