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Why Wasn't (0,-3) Included in the Initial Graph of a Traveling Sinusoidal Wave?
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The discussion centers on the absence of the point (0, -3) in the initial graph of a traveling sinusoidal wave. Participants question why this point was not included and why a y versus time graph was not utilized. Clarifications are sought regarding the significance of units in the context of the problem. The conversation highlights the importance of understanding the wave equation and its parameters. Ultimately, the initial omission of (0, -3) raises questions about the completeness of the graph representation.
My attempt:
Initial total M.E = PE of hanging part + PE of part of chain in the tube. I've considered the table as to be at zero of PE.
PE of hanging part = ##\frac{1}{2} \frac{m}{l}gh^{2}##.
PE of part in the tube = ##\frac{m}{l}(l - h)gh##.
Final ME = ##\frac{1}{2}\frac{m}{l}gh^{2}## + ##\frac{1}{2}\frac{m}{l}hv^{2}##.
Since Initial ME = Final ME. Therefore, ##\frac{1}{2}\frac{m}{l}hv^{2}## = ##\frac{m}{l}(l-h)gh##. Solving this gives: ## v = \sqrt{2g(l-h)}##. But the answer in the book...