Question
A spring of constant k is divided into two parts of equal length. What is the spring constant of either part?
Solution
Let a spring AC of spring constant K be divided into two equal parts AB and BC.
We have AB = BC, therefore spring constant of each part will be the same and let it be K'.
Suppose, spring AC consists of two springs AB and BC connected in series.
The spring constant is given by,

i.e. spring constant of both the parts is 2K.
We have AB = BC, therefore spring constant of each part will be the same and let it be K'.
Suppose, spring AC consists of two springs AB and BC connected in series.

The spring constant is given by,

i.e. spring constant of both the parts is 2K.