The frequency of two parallel springs and one weight system

In summary, the conversation discusses finding the angular frequency of a system using the equations F = -kx and U = 1/2*k*x^2. The student is struggling to understand the solution and the concept of moment of inertia. They also discuss using the sum of moments to solve the problem.
  • #1
ltnghia1304
3
0

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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  • #2
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?
 
  • #3
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
 
  • #4
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?
 

1. What is the significance of studying the frequency of two parallel springs and one weight system?

The frequency of a spring and weight system is an important factor in determining the behavior and stability of the system. Understanding the frequency can help in designing and optimizing the system for various applications.

2. How is the frequency of two parallel springs and one weight system calculated?

The frequency of a spring and weight system can be calculated using the formula: f = 1/2π√(k/m) where f is the frequency, k is the spring constant, and m is the mass of the weight.

3. What factors can affect the frequency of two parallel springs and one weight system?

The frequency of a spring and weight system can be affected by factors such as the stiffness of the springs, the mass of the weight, and the length of the springs. Changes in any of these factors can alter the frequency of the system.

4. How does the frequency of two parallel springs and one weight system change with different weights?

The frequency of a spring and weight system is directly proportional to the square root of the weight. This means that as the weight increases, the frequency also increases. Similarly, if the weight decreases, the frequency decreases.

5. Can the frequency of two parallel springs and one weight system be altered?

Yes, the frequency of a spring and weight system can be altered by changing the stiffness of the springs, the mass of the weight, or the length of the springs. This can be done by adjusting the parameters of the system or by replacing the components with different ones.

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