Question: - A square membrane of width a vibrates at its fundamental frequency with an amplitude A at its center. (a) Derive a general expression

- A square membrane of width a vibrates at its fundamental frequency

- A square membrane of width a vibrates at its fundamental frequency with an amplitude A at its center. (a) Derive a general expression for its average displacement amplitude. (b) Derive a general expression for locating points on the membrane having an amplitude of 0.5A. (c) Compute and plot a few points given by the equation derived in part (b). Do they form a circle?

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