Rolling a half full water bottle and simple harmonic motion

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SUMMARY

The discussion centers on the phenomenon of a half-full water bottle exhibiting oscillatory motion when rolled, raising questions about its relation to simple harmonic motion (SHM). Participants confirm that the motion can be influenced by the volume of water, with suggestions to conduct experiments using inclined planes to control initial velocity. Key concepts such as rotational kinetic energy and moment of inertia are identified as important factors in understanding the motion. The conversation encourages experimentation and data collection to analyze the effects of varying water mass on oscillation frequency.

PREREQUISITES
  • Understanding of simple harmonic motion (SHM)
  • Familiarity with concepts of rotational kinetic energy
  • Knowledge of moment of inertia
  • Basic experimental design and data analysis techniques
NEXT STEPS
  • Conduct experiments using an inclined plane to roll the bottle and measure oscillation frequency
  • Learn about the relationship between mass and frequency in oscillatory systems
  • Explore the effects of initial acceleration on oscillatory motion
  • Investigate the role of rotational kinetic energy in rolling objects
USEFUL FOR

Students, physics enthusiasts, and educators interested in experimental physics, particularly those exploring concepts of oscillation and motion dynamics.

sungj25
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hi I am just saw this phenomenon and see if there is any links to the topic that I am learning in school.

So when i rolled a half full (depends on how optimistic you are :smile:) water bottle with a certain amount of force, the bottle went back and forth for a little while before stopping.
Is this simple harmonic motion? and does it affect the rate of oscillation (wavelength? I am not sure) if I change the volume of the water in the bottle?

Oh and can anyone explain why it happens? i think its something to do with momentum right...?

thank you, and have a nice day! (:
 
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sungj25 said:
hi I am just saw this phenomenon and see if there is any links to the topic that I am learning in school.

So when i rolled a half full (depends on how optimistic you are :smile:) water bottle with a certain amount of force, the bottle went back and forth for a little while before stopping.
Is this simple harmonic motion? and does it affect the rate of oscillation (wavelength? I am not sure) if I change the volume of the water in the bottle?

Oh and can anyone explain why it happens? i think its something to do with momentum right...?

thank you, and have a nice day! (:

Welcome to Physics Forums, sungj.

First, I want to note (as a teacher) that's a wonderful observation. Noticing something like that and want to explain it is a wonderful mindset. To carry on with that approach, I encourage you to experiment. Is the water doing anything interesting when the direction reverses? Does it happen with an empty bottle? Can you tell if changing the amount of water has any effect?

I tried to get a bottle to do and and could not. I tried two plastic bottles and one glass one. Can you describe the bottle you used?
 
Fewmet said:
Welcome to Physics Forums, sungj.

First, I want to note (as a teacher) that's a wonderful observation. Noticing something like that and want to explain it is a wonderful mindset. To carry on with that approach, I encourage you to experiment. Is the water doing anything interesting when the direction reverses? Does it happen with an empty bottle? Can you tell if changing the amount of water has any effect?

I tried to get a bottle to do and and could not. I tried two plastic bottles and one glass one. Can you describe the bottle you used?

Thanks for the compliments (:
um I tried with a normal plastic bottle and a soda can, they both worked (but i had less than half the bottle of water).
I also noticed that it also works with other materials. I tried it with beans and the bottle still oscillates around a fixed point before stopping.
oh and I was really lucky and got the permission to use school equipments, so I might use a data logger to conduct a proper experiment for this!
I'm thinking of changing the mass of the water in the bottle to see how it affects the frequency of SHC...
Basically I'm going to roll the bottle from an inclined plane (to control the force/velocity? because i think it has the same potential energy.. I need more advise on this..). When the bottle finish rolling the inclined plane, I will let it continue to roll on the flat surface and set up the data logger from a certain distance and record the displacement change against time, giving me some sort of sine curve on the graph.
But when I was doing the background research I noticed there are way more factors that I have to consider, such as rotational kinetic energy and moment of inertia, that I never thought about. (but these are beyond my cover... haha)
If possible, I would like some advises that can improve my experiment.

PS: even though this experiment is beyond my knowledge level, I think I will still enjoy it (:
 
Fewmet said:
I tried to get a bottle to do and and could not. I tried two plastic bottles and one glass one. Can you describe the bottle you used?
Push it harder. The effect depends on the initial acceleration.
 
sungj25 said:
Basically I'm going to roll the bottle from an inclined plane (to control the force/velocity? because i think it has the same potential energy.. I need more advise on this..). When the bottle finish rolling the inclined plane, I will let it continue to roll on the flat surface and set up the data logger from a certain distance and record the displacement change against time, giving me some sort of sine curve on the graph.
But when I was doing the background research I noticed there are way more factors that I have to consider, such as rotational kinetic energy and moment of inertia, that I never thought about. (but these are beyond my cover... haha)
If possible, I would like some advises that can improve my experiment.

PS: even though this experiment is beyond my knowledge level, I think I will still enjoy it (:

Those are reasonable things to try. Be sure to run many trials and to really think in advance about what your data might look like and what it might tell you. Are you just messing around with it to see what you can find out, or are you trying to answer a specific question (like "Is this simple harmonic motion")?

I don't think you have to take rotational kinetic energy into account. It will only be the rotational kinetic energy of the bottle, and the walls of the bottle are probably so thin the bottle rotating so slow that the energy will be too small to worry about.

You might want to test A.T.'s assertion that the phenomenon depends on the initial acceleration and see ig you can figure out why.

This is an engaging phenomenon that I think my students will also want to investigate. Can you post here about what you find out?
 

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