Amplitude of SHM of a spring hung from a ceiling

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Homework Help Overview

The problem involves a point mass suspended from a spring, with parameters given for mass and spring constant. The original poster expresses confusion regarding the definition of amplitude in the context of simple harmonic motion (SHM) and the interpretation of the problem statement.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to determine the amplitude based on the mean position and initial elongation, questioning the provided formula for amplitude. Other participants echo concerns about the clarity of the question and the validity of the answer key.

Discussion Status

Participants are actively discussing the wording of the question and the implications of the provided answer. There is a shared sentiment of confusion regarding the problem's clarity, and some participants are questioning the correctness of the answer key without reaching a consensus.

Contextual Notes

There is mention of the problem being from a workbook for an exam, which may imply constraints on how the question is framed or the expectations for responses.

Vriska
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Homework Statement


A point mass of m = 20 kg is suspended by a massless of constant 2000N/m. The point mass is released when the elongation is 15cm.Find equation of shm

Homework Equations



F= - kx

The Attempt at a Solution

[/B]

I'm not sure what this question is trying to say honestly. But - I'd say the mean position would be at x = 10 cm and since they release it at 15 cm, I'd expect the amplitude to be 5 cm.

But they've said the amplitude is A = mg/x in the answer , which I don't quite process. And they've done something and found the phase to be off by pi/6. Is this just a badly worded question or am I wooshing somewhere?
 
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Vriska said:
Is this just a badly worded question
I'd say it's a badly worded question (or an error in the answer key). Is it from a textbook?
 
Doc Al said:
I'd say it's a badly worded question (or an error in the answer key). Is it from a textbook?

It's from a workbook for an exam :/ thanks for confirming my suspicions though, I've already seen quite a few badly worded problems here and suspected this might also be one
 
Vriska said:
But they've said the amplitude is A = mg/x in the answer
That expression doesn't even have the correct dimensions for an amplitude. (Unless that x was meant to be a 'k'.)
 

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