Quick Clarification Question (Oscillations)

In summary, the conversation is about a question on Yahoo Answers regarding a problem involving a pebble on a board with a specific angular frequency. The answerer provides a formula for the maximum amplitude, but specifies that it is only for that specific problem and not for all problems in general. The asker confirms their understanding of this.
  • #1
SuperCass
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Homework Statement



Homework Equations



The Attempt at a Solution



I just have a quick question about http://answers.yahoo.com/question/i...dDvWAH.7iY1ZZYRg--&paid=add_comment#openions"

When the answerer says that "For the general case (in case I made a numerical error), max amplitude is given by: A = g / (w^2)," is he just talking about this problem specifically or any problem in general?
 
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  • #2
It is only that problem specifically. The pebble will only remain on the board as long as the force acting on it is less than the force of gravity. If the maximum force, [tex]F=ma=m\omega^2 A[/tex] were greater than the force of gravity, then the pebble would be thrown off the board.

He stated the general case in terms of any angular frequency given, not for any problem in the world. That would be a bit silly. :p
 
  • #3
That's what I thought. Thanks very much!
 

What are oscillations?

Oscillations refer to the repetitive back and forth motion of an object or system around a central point or equilibrium position.

What is the period of an oscillation?

The period of an oscillation is the time taken for one complete cycle or one back and forth motion to occur.

What factors affect the frequency of oscillations?

The frequency of oscillations is affected by the mass of the object, the force acting on the object, and the stiffness of the system.

What is the difference between simple harmonic motion and damped harmonic motion?

Simple harmonic motion refers to the ideal motion of an object in which it oscillates at a constant frequency without any external forces acting on it. Damped harmonic motion, on the other hand, refers to the motion of an object that experiences a resistive force, causing the amplitude of the oscillations to decrease over time.

How are oscillations used in real-world applications?

Oscillations have a wide range of applications in various fields such as engineering, medicine, and technology. Some examples include pendulum clocks, musical instruments, electrical circuits, and earthquake-resistant buildings.

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