Question

When a violin string vibrates, the sound produced results from a combination of standing waves that have evenly placed nodes. The figure illustrates some of the possible standing waves. Let’s assume that the string has length π.

a) Suppose that for fixed t, each point on the string that is not a node vibrates with frequency 440 Hz [Find out how this relates to the graph]. Find the value of β for which an equation of the form y = A cos β t would model this motion.

Answer 1

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