Is Ball Bouncing Considered Simple Harmonic Motion?

In summary, the conversation discusses whether a bouncing ball exhibits simple harmonic motion. It is determined that the ball bounces periodically, but not in a sinusoidal manner, making it not an example of simple harmonic motion. The height vs. time graph for the ball is also discussed, with the conclusion that if the ball does not lose energy on its way up, all the peaks would be equal.
  • #1
bpw91284
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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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  • #2
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.
 
  • #3
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?
 
  • #4
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.
 
  • #5
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.
 

FAQ: Is Ball Bouncing Considered Simple Harmonic Motion?

What is Simple Harmonic ball bounce?

Simple Harmonic ball bounce refers to the motion of a ball that is bouncing up and down due to the force of gravity and its own elasticity. It follows a specific pattern of motion known as simple harmonic motion, where the ball moves back and forth between two extremes at a constant rate.

What factors affect the Simple Harmonic ball bounce?

The Simple Harmonic ball bounce can be affected by several factors, including the mass and elasticity of the ball, the surface it is bouncing on, and the force of gravity. These factors can alter the amplitude (height) and frequency (speed) of the ball's bounce.

How do you calculate the period of Simple Harmonic ball bounce?

The period, or time it takes for one complete bounce, of a Simple Harmonic ball bounce can be calculated using the formula T=2π√(m/k), where T is the period, m is the mass of the ball, and k is the spring constant (a measure of the ball's elasticity).

Can Simple Harmonic ball bounce be observed in real life?

Yes, Simple Harmonic ball bounce can be observed in real life. It is a common phenomenon that can be seen in activities such as bouncing a basketball or jumping on a trampoline. It is also used in many scientific experiments and studies.

How is Simple Harmonic ball bounce different from other types of ball bounces?

The key difference between Simple Harmonic ball bounce and other types of bounces is that it follows a specific pattern of motion. Unlike other bounces, where the ball's trajectory may be affected by external forces or friction, Simple Harmonic ball bounce is a purely mathematical and predictable motion.

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