Does a stiffer spring have more elastic spring force?
A less stiff object can be stretched or compressed more easily. Comparing two elastic objects, more elastic spring force would act on the stiffer elastic object when they are stretched or compressed by the same length.
What happens when a spring is stretched?
When a spring is stretched or compressed, so that its length changes by an amount x from its equilibrium length, then it exerts a force F = -kx in a direction towards its equilibrium position. The force a spring exerts is a restoring force, it acts to restore the spring to its equilibrium length.
How do you find the maximum compression of a spring?
⇒F=kx , here F is the force applied by a spring having the spring constant k due to an extension x in the spring. Thus the maximum compression of the spring comes out to be equal to mak .
Why do some springs never go back to their original shape when they are stretched?
However, if you stretch or compress any material too much, then it permanently deforms, and can no longer return to its original shape. This deformation is permanent, and for most materials, it’s non-reversible, even if you try to compress the material back.
Does the spring constant depend on how far the spring is stretched?
More generally, the spring constant of a spring is inversely proportional to the length of the spring, assuming we are talking about a spring of a particular material and thickness. That is because the spring constant and the length of the spring are inversely proportional.
What happens to the spring constant when the spring is cut in half?
Spring constant of a spring is inversely proportional to it’s length. Hence, by basic mathematics, the new spring constant will be twice the old one. If cut it in half like a hot dog bun that the bottom is busted out of you will have a big pile of 180deg curled parts.
Does the spring constant have a unit?
The units for the spring constant, k, are Newtons per meter (N/m). Hooke’s law equation states that F = kx, where F is the force required to compress…
What happens if the spring constant increases?
A stronger spring-with a larger value of k-will move the same mass more quickly for a smaller period. As the spring constant k increases, the period decreases. For a given mass, that means a greater acceleration so the mass will move faster and, therefore, complete its motion quicker or in a shorter period.
What is a normal spring constant value?
We have revealed that the spring constants of the nine CNCs, derived from the formula k = k’ δ’/δ, ranged from 0.9 N/m at the minimum to 4.8 N/m at the maximum. The average value for the nine CNCs was 1.8 N/m [15], which agrees with results previously reported [13].
What does spring constant depend on?
In dealing with a coil spring the spring constant will depend on the stiffness of the spring material, the thickness of the wire from which the spring is wound and, diameter of the turns of the coil, the number of turns per unit length and the overall length of the spring.
What does the spring constant tell us?
Spring constant is a measure of the stiffness of a spring up to its limit of proportionality or elastic limit. The higher the spring constant, the stiffer the spring. The spring constant is different for different elastic objects.
Why is spring constant important?
The spring constant determines exactly how much force will be required to deform a spring. A higher spring constant means a stiffer spring, and vice-versa.
How do I calculate the spring constant?
Ans: Spring constant can be calculated using Hooke’s Law. As per the Hooke’s Law, if spring is stretched, the force exerted is proportional to the increase in length from the equilibrium length. The formula to calculate the spring constant is as follows: k= -F/x, where k is the spring constant.
Can a spring constant be negative?
The spring constant cannot be negative. Spring constant will always be a positive value. The negative sign in Hooke’s law shows that the direction of the restoring force is opposite to the applied force.
Why is the force of a spring negative?
The spring force is called a restoring force because the force exerted by the spring is always in the opposite direction to the displacement. This is why there is a negative sign in the Hooke’s law equation. Pulling down on a spring stretches the spring downward, which results in the spring exerting an upward force.
What if the spring constant is zero?
physically, if the spring constant were zero or negative. If it were zero, the displacement could increase without limit if the particle were given a small velocity. In other words, it is not “attached” or attracted to the centre of the “force”.
Why is there a negative sign in F =- Ks?
The minus sign in F = -kx is there by convention; we think of F as the restoring force. When the spring is compressed, a positive force is required to extend it, and when it is extended, a negative force is required to shorten it, or restore it to its natural length.
What does the negative sign in Hookes law mean?
Though we have not explicitly established the direction of the force here, the negative sign is customarily added. This is to signify that the restoring force due to the spring is in the opposite direction to the force which caused the displacement.
Does a spring do positive or negative work?
The force you exert on the spring is in the same direction as your displacement. You have done positive work on the spring. The force that the spring exerts on you is in the opposite direction to its displacement so the spring has done negative work.
Is spring constant negative or positive?
k, being the spring constant, is always a positive number. the negative sign indicates that the restorative force is in the opposite direction of the applied force.
What does a positive spring constant mean?
The constant k is called the spring constant and is always a positive number. This means that the spring exerts a force in the negative direction, that is, it pulls back. When x is negative then the minus sign makes F positive. This means that the spring exerts a force in the positive x direction, that is, it pushes.
How do you know if a spring is ideal?
A ideal spring has an equilibrium length. If a spring is compressed, then a force with magnitude proportional to the decrease in length from the equilibrium length is pushing each end away from the other.
Is the spring force ever zero?
The restoring force is zero, it is the inertia of the object that keeps it from stopping at that point. Once the object crosses the equilibrium point, the restoring force starts acting on it again, but this time in the opposite direction.
Is the restoring force on a mass attached to spring in SHM ever zero?
The restoring force in SHM must be proportional to the displacement away from the equilibrium position. So, every time the mass passes through the equilibrium position, the force is zero. In fact, it is the point where the force reverses direction, and must, therefore, pass through zero in order to reverse.
What is the restoring force for a mass on a spring?
Its magnitude can be found using Hooke’s law. Its direction is always opposite the direction of stretch and towards the equilibrium position. As the air track glider does the back and forth, the spring force (Fspring) acts as the restoring force.
At which position restoring force is maximum during SHM?
At the position of maximum displacement, the restoring force is at its greatest – the acceleration of the mass will be greatest.