Which of the following are true for simple harmonic motion (SHM)? (More than one

Question

Which of the following are true for simple harmonic motion (SHM)? (More than one may be correct.)

Any motion that is periodic is SHM.

b. The motion is due to a force whose magnitude is proportional to the displacement from equilibrium, and is directed towards the equilibrium position.

c. The position as a function of time is sinusoidal, i.e. can be expressed as a sine or cosine function.

d. The acceleration of the motion can be expressed as the square of a sine or cosine function.

e. The position and velocity are periodic, and have the same frequency and period.

Explanation / Answer

b. The motion is due to a force whose magnitude is proportional to the displacement from equilibrium, and is directed towards the equilibrium position. c. The position as a function of time is sinusoidal, i.e. can be expressed as a sine or cosine function. e. The position and velocity are periodic, and have the same frequency and period.

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