There are two springs, one delicate and another stiffer. Which spring will have a greater frequency of oscillations for a given load ?
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23
The correct answer is - The stiffer spring.
Considering that both the springs have loads attached that are of the same mass, the frequency to be measured is more important than the amplitude. So, the delicate spring will have less frequency and the stiffer spring will have a larger frequency.
This frequency of oscillation is more in the stiffer spring because the force constant is more in the stiffer spring than in the delicate spring.
Considering that both the springs have loads attached that are of the same mass, the frequency to be measured is more important than the amplitude. So, the delicate spring will have less frequency and the stiffer spring will have a larger frequency.
This frequency of oscillation is more in the stiffer spring because the force constant is more in the stiffer spring than in the delicate spring.
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When you have two springs in series, the they function as a single spring, but with a spring-constant given by:
[math]\frac{1}{k}=\frac{1}{k_1}+\frac{1}{k_2}[/math]
When you have two springs in parallel, then they function as a single spring, but with a spring-constant given by:
[math]k=k_1+k_2[/math]
The formula for the frequency of an oscillation caused by a spring is given by:
[math]f=\frac{1}{2\pi}\sqrt{\frac{k}{m}}[/math]
[math]\frac{1}{k}=\frac{1}{k_1}+\frac{1}{k_2}[/math]
When you have two springs in parallel, then they function as a single spring, but with a spring-constant given by:
[math]k=k_1+k_2[/math]
The formula for the frequency of an oscillation caused by a spring is given by:
[math]f=\frac{1}{2\pi}\sqrt{\frac{k}{m}}[/math]
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