The frequency of two parallel springs and one weight system

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Homework Help Overview

The discussion revolves around determining the angular frequency of a system involving two parallel springs and a weight. Participants are examining the relevant equations and concepts related to angular motion and moments of inertia.

Discussion Character

  • Conceptual clarification, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants are questioning the validity of the initial equations presented, particularly regarding the application of moments and the concept of moment of inertia in the context of angular acceleration.

Discussion Status

The discussion is ongoing, with participants seeking to clarify the assumptions underlying the problem. Some have expressed confusion about the initial approach and are exploring the implications of moment of inertia in their reasoning.

Contextual Notes

There appears to be uncertainty regarding the point about which the moment of inertia is considered, as well as the conditions under which the system is analyzed. Participants are grappling with the implications of angular acceleration in their calculations.

ltnghia1304
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Homework Statement


I want to find the angular frequency of the system below
18426564_1972065893013072_43662875_o.jpg

Homework Equations


F = -kx
U = 1/2*k*x^2

The Attempt at a Solution


18426570_1972072309679097_1115670989_o.jpg

18472001_1972072313012430_1129210577_o.jpg


But here's the answer:
18426731_1972065903013071_83517209_o.jpg


18426790_1972065909679737_1688739849_o.jpg


I don't know how come this solution. Any one help me? Thank you so much.
 

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I do not understand even your first equation. It looks like a sum of moments about left hand end equals zero. But there will be an angular acceleration here, and the system has a moment of inertia about that axis.
About what point does it not have any MoI?
 
haruspex said:
I do not understand even your first equation. It looks like a sum of moments about left hand end equals zero. But there will be an angular acceleration here, and the system has a moment of inertia about that axis.
About what point does it not have any MoI?

Yes I used the sum of moments. Actually I also haven't get the point of this problem. Just think that it will be balance like that
 
ltnghia1304 said:
I used the sum of moments
OK, but the standard equation, relative to a specified axis, is Σmoment=MoI * angular acceleration. The bar will in general have an angular acceleration, and the MoI of the bar+mass about the ends of the bar is not zero. So the sum of the moments will not be zero.
As I asked before, about what axis does the bar+mass have zero MoI?
 

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