SHM Maximum Speed Determination

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A particle oscillates with simple harmonic motion (SHM). Its displacement \(x\) varies with time \(t\) according to the equation \(x = x_0 \sin(\omega t)\). At which displacement is the particle’s speed a maximum?

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Hint

Recall that in SHM the speed is maximum when the cosine term is 1, which occurs when the displacement is zero.

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Complete Answer

\(x = 0\)

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