25. (a) The wave speed at any point on the rope is given by v= τμ, where τis the tension at that point and μis the linear mass density. Because the rope is hanging the tension varies from point to point. Consider a point on the rope a distance yfrom 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 equilibrium, these forces balance. The weight
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This note was uploaded on 06/03/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.