Question

Which of the following relationships between the acceleration a and the displacement x of a particle involve simple harmonic motion?a. a = 0.7 xb. a = -200 x²c. a = -10 xd. a = 100 x³

Answer 1

When a particle moves to and fro along a line, the motion is called simple harmonic motion. in simple harmonic motion, direction of acceleration is just opposite to direction of its motion.
e.g., condition of simple harmonic motion : $a=-\omega^2x$
where a is acceleration, $\omega$ is angular frequency and x is the displacement of particle in simple harmonic motion.

here, option (c), a = -10x is similar to a = $\omega^2x$
where $\omega^2=10$
e.g., angular frequency or angular velocity = √10 rad/s

hence, option (c) is correct answer.

Answer 2

Answer:

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