Which one of the following equations of motion represents simple harmonic motion?

Which One Of The Following Equations Of Motion Represents Simple Physics QuestionWhich One Of The Following Equations Of Motion Represents Simple Physics Question

Which one of the following equations of motion represents simple harmonic motion?

Options

(a) Acceleration = -k(x + a)
(b) Acceleration = k(x + a)
(c) Acceleration = kx
(d) Acceleration = -k₀x+ k₁x² where k, k₀, k₁ and a are +ve

Correct Answer:

Acceleration = -k(x + a)

Explanation:

a = – kX, X = x + a. In simple harmonic motion acceleration is directly proportional to the displacement from the mean position. Also the acceleration is in the opposite direction of displacement.

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