Forced Frequency Homework: Which of These Acts as a Force?

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SUMMARY

The discussion centers on identifying forced frequencies in oscillatory systems, specifically through three scenarios: a pendulum skimming water, a bell being rung, and a singer shattering a glass. All three scenarios are confirmed to involve forced frequencies due to external forces acting on the oscillations. The pendulum's interaction with water alters its motion, while the sound waves from the singer create a forcing function that causes the glass to vibrate. Understanding these concepts clarifies the distinction between forced frequencies and natural oscillations.

PREREQUISITES
  • Understanding of oscillatory motion and forced frequency concepts
  • Familiarity with mechanical resonance principles
  • Basic knowledge of sound wave interactions with materials
  • Concept of initial conditions in oscillatory systems
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  • Study the principles of mechanical resonance in detail
  • Explore the effects of damping and external forces on oscillatory systems
  • Learn about the mathematical modeling of forced oscillations
  • Investigate real-world applications of forced frequencies in engineering
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Redjakk1
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Homework Statement



Which of the following is a forced frequency acting on the oscillations?

I. A pendulum skims the surface of a pool of water at the lowest point of motion.
II. To keep a bell ringing, a bell ringer pulls on a bell rope.
III. A singer shatters a glass.

Homework Equations

The Attempt at a Solution


My guess would be all 3 as each of these situations has an external force. But I'm not quite sure as I read an example saying that the singer situation would be mechanical resonance. Does that mean it's still forced frequency? Also, I'm unsure as to whether the first situation is referring to the waves which result from the pendulum (I don't think so) or the oscillations of just the pendulum. In that case, I think the answers would be I and II. I just don't really understand.
 
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Redjakk1 said:

Homework Statement



Which of the following is a forced frequency acting on the oscillations?

I. A pendulum skims the surface of a pool of water at the lowest point of motion.
II. To keep a bell ringing, a bell ringer pulls on a bell rope.
III. A singer shatters a glass.

Homework Equations

The Attempt at a Solution


My guess would be all 3 as each of these situations has an external force. But I'm not quite sure as I read an example saying that the singer situation would be mechanical resonance. Does that mean it's still forced frequency? Also, I'm unsure as to whether the first situation is referring to the waves which result from the pendulum (I don't think so) or the oscillations of just the pendulum. In that case, I think the answers would be I and II. I just don't really understand.
Right, all three.
The pendulum swings due to initial condition(s), e.g. a finite displacement & then let go. It would continue swinging (assuming no friction) the same way forever. However, since the pendulum touches water at its low point that forces a change to the oscillatory motion.
The sound applies a forcing function to the glass, otherwise it would not vibrate unless again a finite initial condition were imposed, e.g. the glass is stresses (bent) and then let go.
 
rude man said:
Right, all three.
The pendulum swings due to initial condition(s), e.g. a finite displacement & then let go. It would continue swinging (assuming no friction) the same way forever. However, since the pendulum touches water at its low point that forces a change to the oscillatory motion.
The sound applies a forcing function to the glass, otherwise it would not vibrate unless again a finite initial condition were imposed, e.g. the glass is stresses (bent) and then let go.

Thank you very much for the explanation. I understand it a lot better now.
 

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