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
This is the end of the preview. Sign up
access the rest of the document.