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A particle executes simple harmonic motion along the x-axis. The force acting on it is given by?

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A particle executes simple harmonic motion along the x-axis. The force acting on it is given by?

(a) Acos(kx)

(b) Ae^(-kx)

(c) Akx

(d) –Akx

This question was posed to me during a job interview.

Enquiry is from Oscillations topic in portion Oscillations of Engineering Physics I

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Best answer
Correct answer is (d) –Akx

The best explanation: F=-Akx implies that the force is proportional or displacement and acts in its opposite direction. So it represents simple harmonic motion.

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