- #1
Cici2017
Homework Statement
Homework Equations
The Attempt at a Solution
KE=1/2mω2x2
doesn't this mean is it proportional to all A.B.C&D?
Thank you!
SHM and Total Energy Equations for Solving Homework Problems
- Thread starter Cici2017
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Homework Help Overview
The discussion revolves around simple harmonic motion (SHM) and the relationships between kinetic energy, amplitude, mass, frequency, and the time period of oscillation. Participants are exploring how these variables interact within the context of energy equations.
Discussion Character
- Exploratory, Conceptual clarification, Mathematical reasoning, Assumption checking
Approaches and Questions Raised
- Participants are questioning the proportional relationships in the kinetic energy equation and discussing the implications of amplitude, mass, and frequency on energy. There are inquiries about the definitions and dependencies of these variables, particularly regarding the frequency of oscillation and its relationship to mass and force constant.
Discussion Status
The discussion is active, with participants providing insights and prompting further exploration of the concepts. Some guidance has been offered regarding the equations related to frequency and potential energy, but there is no explicit consensus on the understanding of the material yet.
Contextual Notes
There is an indication that some participants may not have covered all relevant material in class, which raises questions about their preparedness for the homework problem. This context may influence the depth of their understanding and the nature of their inquiries.
KE=1/2mω2x2
doesn't this mean is it proportional to all A.B.C&D?
Thank you!
- #2
mjc123
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Well, for a start it can't be proportional to both the time period and the frequency. If it's proportional to one it must be inversely proportional to the other. ("Proportional" does not mean simply "depends on" or "related to"; it indicates a specific kind of dependence.)
What does your equation tell you about the dependence on the amplitude?
Do you know a formula for ω (or alternatively for T, the time period)? If you plug this into your equation, what does it tell you about the dependency on mass and frequency?
What does your equation tell you about the dependence on the amplitude?
Do you know a formula for ω (or alternatively for T, the time period)? If you plug this into your equation, what does it tell you about the dependency on mass and frequency?
- #3
Cici2017
mjc123 said:
1/2m(2πf)2x2
so proportional to mass and proportional to frequency squared and amplitude squared?
- #4
mjc123
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Yes, proportional to the amplitude squared, so A is wrong.
As to frequency, I was thinking of another equation. What physically determines the frequency of an oscillating system? Specifically, in terms of mass and force constant?
As to frequency, I was thinking of another equation. What physically determines the frequency of an oscillating system? Specifically, in terms of mass and force constant?
- #5
Cici2017
ummm... I think we haven't covered this in class yet.mjc123 said:
- #6
mjc123
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Then why have you been given the question?
- #7
Cici2017
mjc123 said:
I'm not sure. May be we have. What equation is it?- #8
mjc123
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Have you come across the equation ω = √(k/m), or its equivalent T = 2π√(m/k) ?
- #9
mjc123
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Or think about it another way: What is the maximum potential energy?
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