Is Ball Bouncing Considered Simple Harmonic Motion?

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Homework Help Overview

The discussion revolves around whether the motion of a bouncing ball can be classified as simple harmonic motion. The original poster describes the scenario of a ball bouncing to the same height and questions its classification in terms of motion types.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the characteristics of simple harmonic motion, noting differences in velocity behavior compared to the bouncing ball. Questions arise about the nature of the height versus time graph for the bouncing ball.

Discussion Status

Participants generally agree that while the bouncing ball exhibits periodic motion, it does not qualify as simple harmonic motion. Some have provided insights into the graph representation of the motion, and one participant expresses gratitude for the clarification received.

Contextual Notes

There is an underlying assumption regarding energy loss during the ball's ascent, which is mentioned but not resolved in the discussion.

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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?

Homework Equations


None

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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