Does 2 spring @ 30 degrees = 1 @ 90?

  • Thread starter Thread starter alaix
  • Start date Start date
  • Tags Tags
    Degrees Spring
AI Thread Summary
The discussion centers on the effective spring constant of two identical springs positioned at a 30-degree angle with the ceiling. It questions whether the effective spring constant can be equated to that of one spring, considering the geometry of the setup. The consensus suggests that while the effective constant may hold true near the equilibrium position, it will vary as the angle changes with movement. Additionally, the correct approach to calculate the effective spring constant for springs in parallel is highlighted, contrasting it with series connections. Overall, the effective spring constant depends on the configuration and the dynamics of the system.
alaix
Messages
11
Reaction score
0
Let's say you have 2 identical springs

Let's say length = 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?
 
Physics news on Phys.org
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.
 
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.
 
alaix said:
Let's say you have 2 identical springs

Let's say length = 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?

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)
 
Hi there, im studying nanoscience at the university in Basel. Today I looked at the topic of intertial and non-inertial reference frames and the existence of fictitious forces. I understand that you call forces real in physics if they appear in interplay. Meaning that a force is real when there is the "actio" partner to the "reactio" partner. If this condition is not satisfied the force is not real. I also understand that if you specifically look at non-inertial reference frames you can...
I have recently been really interested in the derivation of Hamiltons Principle. On my research I found that with the term ##m \cdot \frac{d}{dt} (\frac{dr}{dt} \cdot \delta r) = 0## (1) one may derivate ##\delta \int (T - V) dt = 0## (2). The derivation itself I understood quiet good, but what I don't understand is where the equation (1) came from, because in my research it was just given and not derived from anywhere. Does anybody know where (1) comes from or why from it the...
Back
Top