Is Ball Bouncing Considered Simple Harmonic Motion?

Click For Summary
SUMMARY

A ball bouncing up and down off the ground is classified as periodic motion but does not qualify as simple harmonic motion (SHM). In SHM, maximum velocity occurs at the midpoint of the amplitude, whereas for a bouncing ball, maximum velocity occurs just before and after it strikes the ground. Additionally, the motion of a bouncing ball does not follow a sinusoidal curve, which is a defining characteristic of SHM. Therefore, while the ball's motion is periodic, it lacks the properties necessary to be considered simple harmonic motion.

PREREQUISITES
  • Understanding of periodic motion
  • Knowledge of simple harmonic motion (SHM) principles
  • Familiarity with velocity and acceleration concepts
  • Ability to interpret graphs of motion
NEXT STEPS
  • Study the characteristics of simple harmonic motion (SHM)
  • Learn about the mathematical equations governing periodic motion
  • Explore energy conservation in bouncing balls
  • Analyze graphs of different types of motion, including SHM and periodic motion
USEFUL FOR

Students studying physics, educators teaching motion concepts, and anyone interested in the distinctions between periodic and simple harmonic motion.

bpw91284
Messages
67
Reaction score
0

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?
 
Physics news on Phys.org
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.
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 7 ·
Replies
7
Views
5K
  • · Replies 13 ·
Replies
13
Views
1K
  • · Replies 5 ·
Replies
5
Views
3K
Replies
13
Views
3K
  • · Replies 23 ·
Replies
23
Views
5K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 12 ·
Replies
12
Views
3K