Is Ball Bouncing Considered Simple Harmonic Motion?

AI Thread Summary
A ball bouncing up and down is classified as periodic motion but does not qualify as simple harmonic motion. In simple harmonic motion, maximum velocity occurs at the midpoint of the amplitude, whereas for a bouncing ball, it occurs just before and after hitting the ground. Additionally, the motion of the bouncing ball does not follow a sinusoidal curve. The discussion also touches on the height versus time graph of the bouncing ball, noting that if it doesn't lose energy, the peaks would remain equal. Overall, the consensus is that while the bouncing ball exhibits periodic behavior, it lacks the characteristics of simple harmonic motion.
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Homework Statement


A ball bounces up and down off the ground and each bounce it returns to the same height. Is this simple harmonic motion?

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The Attempt at a Solution


I don't think it is because in simple harmonic motion the maximun velocity occurs in the middle of the amplitudes but for the bouncing ball it occurs right before and right after it hits the ground. If that is correct, can someone explain it better?
 
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That's right, a ball bouncing up and down would be periodic motion, but not simple harmonic motion. The ball bouncing doesn't follow a sinusoidal curve, as well.
 
Snazzy said:
That's right, a ball bouncing up and down would be periodic motion, but not simple harmonic motion. The ball bouncing doesn't follow a sinusoidal curve, as well.

What would it's height vs. time graph look like?
 
http://www.claflin.edu/Academic/Science-mathematics/Mathematics/nasa_nova/doc2_files/image002.gif

Except if it doesn't lose energy on its way up, all the peaks are equal.
 
Snazzy said:
http://www.claflin.edu/Academic/Science-mathematics/Mathematics/nasa_nova/doc2_files/image002.gif

Except if it doesn't lose energy on its way up, all the peaks are equal.

Ya I figured out what it would look like right soon after I asked the question. Thanks for the help.
 
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