# Find the displacement of the springs

• HardestPart
In summary, the conversation is about solving a physics problem involving two springs with different spring constants and a force being applied. The question asks for the displacement of the connection point from its initial equilibrium position when the springs are stretched a certain distance. The relevant equation is Hook's law, and the attempt at a solution involves setting the two spring equations equal to each other. However, the person is stuck and asks for help.
HardestPart
A question:Simple harmonic motion

http://capa2.cc.huji.ac.il/res/msu/physicslib/msuphysicslib/09_Force_and_Motion/graphics/prob07_twospring.gif1.[/URL] Homework Statement
Two springs with spring constants k1=29.7 N/m and k2=20.7 N/m are connected as shown in the figure:
Find the displacement, y, of the connection point from its initial equilibrium position when the two springs are stretched a distance d = 1.10 m as a result of the application of the force F

http://capa2.cc.huji.ac.il/res/msu/physicslib/msuphysicslib/09_Force_and_Motion/graphics/prob07_twospring

Hooks law: F=Kx

## The Attempt at a Solution

since the same the same force streches each spring :
k1.x=k2.x
FROM HERE I STUCKED
ANY HINT?

Last edited by a moderator:
i tried to figure this question out:
F=(l1+1.10)29.7
F=(l1+y+1.10)20.7
y=9
but its not correct
any help?

Two springs with spring constants k1=29.7 N/m and k2=20.7 N/m are connected as shown in the figure:
What figure?

http://capa2.cc.huji.ac.il/res/msu/physicslib/msuphysicslib/09_Force_and_Motion/graphics/prob07_twospring.gif

Last edited by a moderator:

## What is meant by "displacement of the springs"?

The displacement of the springs refers to the change in position of the springs from their equilibrium point. It is a measure of how far the spring has stretched or compressed from its resting position.

## Why is it important to find the displacement of the springs?

Knowing the displacement of the springs is important in understanding the behavior and performance of a spring system. It can also help in determining the amount of force or energy the spring can exert or absorb.

## How do you calculate the displacement of the springs?

The displacement of the springs can be calculated using the formula x = F/k, where x is the displacement, F is the applied force, and k is the spring constant. This formula assumes that the spring follows Hooke's law, which states that the force applied to a spring is directly proportional to its displacement.

## What factors can affect the displacement of the springs?

The displacement of the springs can be affected by various factors such as the force applied, the stiffness of the spring, the length of the spring, and the materials used in the spring. Environmental factors such as temperature and humidity can also play a role in the displacement of the springs.

## Can the displacement of the springs be negative?

Yes, the displacement of the springs can be negative. This means that the spring has been compressed from its equilibrium point. A positive displacement indicates that the spring has been stretched. Both positive and negative displacements are valid and can be used in calculations and analysis of the spring system.

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