# What is the length of the spring

• tnutty
In summary, two identical weights of mass m are hanging motionless from massless strings attached to the two ends of a spring with spring constant k. The relaxed length of the spring is L0. The figure shows the spring on a table with two weights, m1 and m2, hanging from opposite ends. The spring is attached to a massless plug at the corner of the table. The length of the spring is unknown and can be determined using the equations f = -kx and f = ma.
tnutty

## Homework Statement

Two identical weights of mass m hang motionless
from massless strings attached to the two ends of a
spring, as shown in the figure. The spring constant
of the spring is k. What is the length of the spring,
if its relaxed length is L0?

f = -kx
f = ma

## The Attempt at a Solution

2t = -kx

tnutty said:
Two identical weights of mass m hang motionless
from massless strings attached to the two ends of a
spring, as shown in the figure.

Could you please either scan and attach the figure, or at least describe it?

## The Attempt at a Solution

2t = -kx

Where did the "t" come from?

No picture - can't tell what is going on from the written description.

OK, so where does t come from?

The picture sort of looks like this ;

______springIsHereOntheTable_______
|...ignore these dots......|
|.........|
|.........|<-those lines at the end are a string.
m1.........m2

so the spring is on a table and attached to the left if it is a string which passes a
massless pug at the corner of the table and m1 is hanging on that string at the left
side of the table and m2 is attached to the string on the right side which is also hanging
on the string.

## What is the length of the spring?

The length of a spring is the distance between its two ends when it is in a relaxed state.

## How is the length of a spring measured?

The length of a spring can be measured by using a ruler or tape measure to determine the distance between the two ends of the spring.

## Does the length of a spring affect its properties?

Yes, the length of a spring can affect its properties such as its stiffness and tension. A longer spring will typically be less stiff and have less tension compared to a shorter spring.

## Can the length of a spring be changed?

Yes, the length of a spring can be changed by applying an external force. This can cause the spring to stretch or compress, resulting in a change in its length.

## What is the relationship between the length of a spring and its force?

According to Hooke's Law, the force applied to a spring is directly proportional to its change in length. This means that the longer the spring is stretched or compressed, the greater the force that is exerted on it.

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