The wave function for a certain standing wave on a string

Chapter , Problem 52

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The wave function for a certain standing wave on a string that is fixed at both ends is given by A standing wave can be considered as the superposition of two traveling waves. (a) What are the speed and amplitude of the two traveling waves that result in the specified standing wave? (b) What is the distance between successive nodes on the string? (c) What is the shortest possible length of the string?

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