Simple Harmonic Motion and frequency

AI Thread Summary
The discussion revolves around calculating the frequency of a platform undergoing simple harmonic motion (SHM) with a mass that loses contact when the amplitude exceeds 6.2 cm. The key relationship used is that the maximum acceleration in SHM equals gravitational acceleration (g = 9.8 m/s²), expressed as g = ω²A, where ω is the angular frequency and A is the amplitude. A proposed solution suggests that the frequency is 2 Hz, derived from this relationship. Justifying why the maximum acceleration equals g is crucial for confirming the solution. The conversation emphasizes understanding the connections between SHM parameters and free-fall dynamics.
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Homework Statement



A mass sits on a platform undergoing simple harmonic motion in the vertical
direction. The mass loses contact with the platform when the amplitude exceeds
6.2 cm. What is the frequency, f (in Hz), of the platform’s vibration? Take g =
9.8ms−2.

Homework Equations





The Attempt at a Solution



I'm not sure where to start with this.
 
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What do you know about SHM, and in particular, the relationships between position, velocity, and acceleration? How about bodies in free-fall? What do you know about them?
 
Thank you for your reply. I have an answer for the frequency of 2Hz which I got by saying the maximum value of the acceleration was equal to g, which is equal to omega^2*A, where A is the amplitude. I believe that may be right.
 
andyatk14 said:
Thank you for your reply. I have an answer for the frequency of 2Hz which I got by saying the maximum value of the acceleration was equal to g, which is equal to omega^2*A, where A is the amplitude. I believe that may be right.

If you can justify why maximum acceleration should equal g then I'd say you're done.
 

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