Quick Clarification Question (Oscillations)

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The discussion centers on a clarification regarding the maximum amplitude formula A = g / (ω²) in the context of oscillations. The formula is specific to the problem at hand, indicating that the pebble will stay on the board as long as the force acting on it does not exceed the force of gravity. The responder emphasizes that the formula applies to the general case of angular frequency but is not universally applicable to all problems. The conversation confirms that the interpretation of the formula is correct within the specific scenario discussed. Understanding these nuances is crucial for solving similar problems in oscillation dynamics.
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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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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, F=ma=m\omega^2 A 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
 
That's what I thought. Thanks very much!
 

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