Question

Is y=sin(wt) a simple harmonic function ?

Answer 1

Answer:

No, y=sin^2(wt) is not an example of simple harmonic motion.

y=sin^2(wt) is indeed an example of periodic motion, because the particle repeats its motion after a fixed time.But in order for a particular type of motion to be a simple harmonic motion it should satisfy the condition y’’+ y=0 ,where y’’ is the second derivative of y w.r.t to time.

Clearly we can see that for y=sin^2(wt), y’’=2cos(2wt). So it does not satisfy the condition y’’ + y = 0.Hence it is not an example of simple harmonic motion.

Answer 2

Answer:

No, It y=sin(wt) is not an example of simple harmonic function.

Explanation:

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