Spring length hanging down and horizontal

In summary, when a spring is hanging down, its own weight contributes to its stretch and the entire mass of the spring is affected. When the spring is horizontal, each coil of the spring weighs down on the coils above it, resulting in the most stretching at the top. However, the equilibrium point of the spring also moves as it stretches.
  • #1
dav1d
65
0

Homework Statement



is a spring longer hanging down or horizontal

Homework Equations





The Attempt at a Solution


i think that the spring is longer hanging down because then its own mass contributes to the force of gravity, making it stretch more.
 
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  • #2
That is correct. When vertical, its own weight contributes to its stretch.
 
  • #3
correct.
 
  • #4
LawrenceC said:
That is correct. When vertical, its own weight contributes to its stretch.

Would it be the springs entire mass? Or just the part under the equilibrium?
 
  • #5
dav1d said:
Would it be the springs entire mass? Or just the part under the equilibrium?

if it was only the part under the equilibrium then half of the spring would be stretched and half would be uncompressed right?
Each coil on the spring weights any coils above it. so you should have the most stretching at the very top, I think.
 
  • #6
dacruick said:
if it was only the part under the equilibrium then half of the spring would be stretched and half would be uncompressed right?
Each coil on the spring weights any coils above it. so you should have the most stretching at the very top, I think.

But doesn't the equilibrium point move as the spring stretches?
 

1. How does the length of a spring affect its behavior when hanging down and horizontal?

The length of a spring directly affects its behavior when hanging down and horizontal. A longer spring will have a lower frequency and a larger amplitude, while a shorter spring will have a higher frequency and a smaller amplitude. This is due to the stiffness of the spring, which is directly proportional to its length.

2. What is the equilibrium position of a spring when hanging down and horizontal?

The equilibrium position of a spring when hanging down and horizontal is its natural length. This is the point at which the spring is not stretched or compressed and does not experience any force. It is the point where the potential energy of the spring is at its minimum.

3. How does the mass of an object attached to a spring affect its behavior when hanging down and horizontal?

The mass of an object attached to a spring affects its behavior when hanging down and horizontal by changing the frequency of the spring's oscillations. A heavier object will cause the spring to oscillate at a lower frequency, while a lighter object will cause it to oscillate at a higher frequency.

4. Can the spring constant affect the behavior of a spring when hanging down and horizontal?

Yes, the spring constant, also known as the stiffness or force constant, directly affects the behavior of a spring when hanging down and horizontal. A higher spring constant will result in a stiffer spring, which will have a higher frequency and smaller amplitude. A lower spring constant will result in a less stiff spring, which will have a lower frequency and larger amplitude.

5. How does the position of an object attached to a spring affect its behavior when hanging down and horizontal?

The position of an object attached to a spring does not affect its behavior when hanging down and horizontal. As long as the object is not at its equilibrium position, the spring will oscillate with the same frequency and amplitude regardless of its position. However, the position of the object can affect the amplitude of the oscillations, as it determines the amount of potential energy stored in the spring.

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