Which one of the following four particles, whose displacement x and acceleration a_x are related as follows, is executing simple harmonic motion ?

NDA 2016 Physics question

Which one of the following four particles, whose displacement and acceleration are related as follows, is executing simple harmonic motion ?

Answer: (D)

For simple harmonic motion the acceleration must be directly proportional to the displacement and directed opposite to it: . Only has this form (with

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Question ID VK-030597