Simple Harmonic Motion and frequency

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Homework Help Overview

The discussion revolves around a problem involving simple harmonic motion (SHM) where a mass loses contact with a platform due to exceeding a certain amplitude. Participants are tasked with determining the frequency of the platform's vibration, given specific parameters such as gravitational acceleration.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationships between acceleration, amplitude, and gravitational force in the context of SHM. Questions are raised regarding the conditions under which the mass loses contact with the platform and the implications of maximum acceleration.

Discussion Status

Some participants have proposed a frequency value based on their reasoning about maximum acceleration equating to gravitational acceleration. There is an ongoing exploration of justifying this relationship, indicating a productive direction in the discussion.

Contextual Notes

Participants are working within the constraints of the problem statement, specifically the given amplitude and gravitational acceleration. There is a focus on understanding the underlying principles of SHM and free-fall dynamics.

andyatk14
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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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