Two different springs in parallel

In summary, the problem deals with a parallel spring system where the two springs are positioned to stretch equally under a constant force of 56N. The spring constants for the left and right springs are given as 1.7Nm and 7.7Nm respectively. The question is to determine the amount of stretching that will result in the desired total force of 56N. Using the equations s=mg/2k and ks= mg/s, we can solve for the value of x, the stretching distance, by setting up two equations and solving for x. This will determine the equal stretch needed for both springs to support the weight of 56N.
  • #1
Westin
87
0

Homework Statement



In a parallel spring system, the springs are positioned so that the 56N stretches each spring equally. The spring constant for the left-hand spring, kl, is 1.7Nm and the spring constant for the right-hand spring, kr, is 7.7Nm.[/B]

Homework Equations


Momentum Principle
s=mg/2k
ks= mg/s
[/B]

The Attempt at a Solution



I'm confused with how they'll stretch the same length.. need help

(1.7N/m)(56N)= 95.2m
(7.7N/m)(56N)= 431.2m[/B]
 
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  • #2
Check the units on your two equations.

If each spring stretches x meters, what is the force for each of the springs (in terms of x)? If the sum of the two spring forces is 56 N, what is x equal to?

Chet
 
  • #3
Is that the entirety of the problem statement or was there a specific question associated with the description? Is there any other context we need to be aware of? A diagram perhaps?
 
  • #4
Chestermiller said:
Check the units on your two equations.

If each spring stretches x meters, what is the force for each of the springs (in terms of x)? If the sum of the two spring forces is 56 N, what is x equal to?

Chet
gneill said:
Is that the entirety of the problem statement or was there a specific question associated with the description? Is there any other context we need to be aware of? A diagram perhaps?
Screen Shot 2015-02-13 at 5.57.38 PM.png
 
  • #5
Ah. Much clearer! The two springs are constrained to stretch by the same amount, and both contribute to the total force that supports the weight. You have to figure out what amount of stretching will result in the desired total.
 
  • #6
gneill said:
Ah. Much clearer! The two springs are constrained to stretch by the same amount, and both contribute to the total force that supports the weight. You have to figure out what amount of stretching will result in the desired total.

Would I use s = mk/2k ? I am confused on this question because I am not sure how to find an equal stretch with a constant force between the two springs.
 
  • #7
Westin said:
Would I use s = mk/2k ? I am confused on this question because I am not sure how to find an equal stretch with a constant force between the two springs.
Why don't you try answering the questions I posed in post #4? These will lead you directly to the answer.

Chet
 

FAQ: Two different springs in parallel

What is the concept of two springs in parallel?

The concept of two springs in parallel refers to the arrangement of two springs that are connected at both ends, resulting in a combined spring system. This means that when one spring is compressed or stretched, the other spring also experiences the same force and displacement.

What is the formula for calculating the equivalent spring constant in a parallel spring system?

The formula for calculating the equivalent spring constant in a parallel spring system is keq = k1 + k2, where k1 and k2 are the individual spring constants of the two springs.

How does the displacement of the two springs in parallel compare to each other?

In a parallel spring system, the displacement of both springs is the same because they are connected at both ends. This means that the total displacement of the system is equal to the individual displacements of each spring.

What happens to the equivalent spring constant when two springs of different values are in parallel?

When two springs of different values are in parallel, the equivalent spring constant will always be greater than the individual spring constants. This is because the combined force and displacement of the two springs results in a stiffer spring system.

What are some real-life applications of two springs in parallel?

Two springs in parallel are commonly used in various mechanical systems such as car suspension, trampoline frames, and shock absorbers. They can also be found in musical instruments like guitars and pianos, where multiple strings are connected to one key to produce a stronger and more consistent sound.

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