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in Physics by (49.4k points)

What is SHM? Show that in SHM acceleration is directly proportional to Its displacement at a given instant.

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Simple Harmonic Motion is a type of motion in which displacement is always directed towards mean position and acceleration is directly proportional to displacement and opposite in direction.

Let a SHM be represented by

x = Asin ωt 

⇒ \(\frac{dx}{dt}\) = A ω cos ωt

acceleration is proportional to displacement and opposite in direction.

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