Frequency of Vibration for a Block Supported by Two Springs

In summary, the frequency of vibration for a block supported by two identical parallel springs with spring stiffness constant k can be found using the equation f = 1/[2*pi*sqrt(m/k)]. This frequency will be the same as if one spring was supporting half the mass, or if the two springs acted as one bigger imaginary spring.
  • #1
Big-J
11
0

Homework Statement


A block of mass m is supported by two identical parallel springs, each with spring stiffness constant k. What will be the frequency of vibration?

Homework Equations


f = 1/[2*pi*sqrt(m/k)]

The Attempt at a Solution


I am just curious how the fact that there are two springs supporting m instead of one will affect my answer (which should be in terms of m and k.)

Thanks!
 
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  • #2
1. The two springs will act like a different spring with it's own k constant. Thus, if you find the frequency of this bigger, imaginary spring, you'll find the frequency of the two springs. Do you have an idea how the k constant of this imaginary spring will compare to the k constant of the two real springs?

2. You can also think of this problem by assuming each spring supports half the mass of the block and then proceeding to find the frequency of one of those springs, since they will both have the same frequency.

Either method will give the same answer. So, can you follow either 1. or 2. above? Does this help shed light on how the frequency will change?
 
Last edited:
  • #3
Yeah your #2 made a lot of sense to me.

Thanks for your help. I appreciate it.
 

Related to Frequency of Vibration for a Block Supported by Two Springs

1. What is a spring vibration problem?

A spring vibration problem refers to a situation where a spring, which is meant to provide stability and support, is vibrating excessively or in an undesirable manner. This can be caused by various factors, such as incorrect installation, external forces, or material properties.

2. How can spring vibration problems be identified?

Spring vibration problems can be identified through various methods, such as visual inspection, measuring the frequency and amplitude of vibration, and using vibration analysis tools. It is important to regularly check for signs of excessive vibration to prevent potential damage or malfunctions.

3. What are the potential consequences of a spring vibration problem?

If left unaddressed, a spring vibration problem can lead to a range of consequences, including decreased performance and efficiency, increased wear and tear on the spring and surrounding components, and potentially even failure of the spring or the entire system it is a part of.

4. How can spring vibration problems be prevented?

To prevent spring vibration problems, it is important to ensure proper installation and maintenance of the spring. This includes using the correct type and size of spring for the application, checking for any external forces or factors that may affect the spring, and regularly inspecting and replacing worn or damaged springs.

5. Can spring vibration problems be solved?

Yes, spring vibration problems can be solved by identifying the root cause and implementing appropriate solutions. This may involve adjusting the installation, addressing any external factors, or replacing the spring altogether. It is important to consult with a professional if the issue persists or if there is any uncertainty about the proper solution.

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