Stiffness of Spring???

[samarjeetsaigal]

Q : If the stiffness of the spring is 10 N/m having 20 turns. Now if the spring is cut into 2 equal pieces, so what will be the stiffness of each spring?

[Voltaire]

Good question that tests your insight.
The standard formula is F = kx where k is the proportionality constant (spring constant) and x denotes the amount of deformation from the original length.
Look up Hooke's law of compression/stretching of a solid rod. You will notice that k corresponds to YA/L₀ and that x corresponds to DL
What do you think is the answer to your question and what is your reasoning?

[samarjeetsaigal]

thanks for explaining the formula... i don't know this answer, i only got the question not the answer???
anyway thanks for the reply

[Voltaire]

You have to try first
Sorry

[vvishwaskumar]

thanks for explaining the formula... i don't know this answer, i only got the question not the answer???
anyway thanks for the reply

stiffness will be 20 N/m...its right na...?

[Voltaire]

How did you calculate that answer and what is your reasoning?

[vvishwaskumar]

How did you calculate that answer and what is your reasoning?

hello..
f=kx..if f is constant and x (length) is half then k will be double..if m wrong then make me right..sorry..!!

[Voltaire]

No need to be sorry

You are right

Hooke's law defines the spring constant as a characteristic of a spring which is defined as the ratio of the force affecting the spring to the displacement caused by it.

[070790vivek]

hello..
f=kx..if f is constant and x (length) is half then k will be double..if m wrong then make me right..sorry..!!

here X does not define the length of spring it defines the deformation of spring on applying load
in my view there should be other ans

[Voltaire]

I have to admit that I, too, struggled with this one because L₂/L₁ is a ratio end I would have thought that the ratio would be the same for both coils. Apparently it is not! The shorter spring does not conform to the same ratio as the longer spring if the same force is applied. One has to think of it as a rubber band: a one metre band will stretch to say 2 metres while a ¹/₂ metre band of the same material will stretch to only say ³/₄ metres if the same force is applied.