Does 2 spring @ 30 degrees = 1 @ 90?

1. Oct 18, 2011

alaix

Let's say you have 2 identical springs

Let's say lenght = 1m
Spring constant = 0.5

You attach each spring to the ceiling and a mass. The springs make a 30 degree angle with the ceiling. Basically the system forms a triangle...

Is it OK to say that the effective spring constant of the system is equal to the spring constant of one spring, since 2*sin(30) = 1?

2. Oct 18, 2011

gsal

effective constant,,,for how long? I mean, as soon as you move a bit, that 30 degree angle is not going to be there...

...the truth is that I have not look into it, just yet, I figure I shoot you back a quick reply to make you think about your own statement, for now.

3. Oct 18, 2011

Yes, I think this is correct... for the vertical spring constant, in a small neighbourhood around the equilibrium.

Horizontally it is different, and it will change as the end moves, as gsal mentioned.

4. Oct 20, 2011

anigeo

for two springs connected in a series, the effective spring constant K is given by-
1/K=1/k1+1/k2.
in parallel -
K=k1+k2.
this is a question of parallel connection so accordingly use the right expression.
(note this is righty the opposite to series and parallel connections of resistors as in electricity)