The motion of a mass attached to a spring is simple harmonic motion if: … if the displacement of the mass from its equilibrium position at x = 0 is “small”. The displacement must be small enough so that the spring is not stretched beyond its elastic limit and becomes distorted.
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What force is causing the spring to stretch out?
This force is called elastic force. The farther the material is stretched or compressed, the greater the elastic force becomes. As soon as the stretching or compressing force is released, elastic force causes the material to spring back to its original shape.
Why did the weight go downward when it was attached to the spring?
This force is called elastic force. The farther the material is stretched or compressed, the greater the elastic force becomes. As soon as the stretching or compressing force is released, elastic force causes the material to spring back to its original shape.
What is the equilibrium position of a spring?
When a mass is hung vertically from a spring, the spring stretches. The force on the mass due to the spring is proportional to the amount the spring is stretched. There is a point at which the spring force and the weight are equal in magnitude but opposite in direction. This point is called the equilibrium position.
How does the spring force change with compressing the spring?
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.
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 does a stretched spring do when released?
If the energy comes back out when the pressures and forces are released, that deformation is called elastic deformation. For example, when you pull a spring (using energy) the spring will bounce when released (energy comes back out).
What is the relationship between the applied force of a hanging mass on a spring and the spring force of the spring?
| Mass (kg) | Force on Spring (N) | Amount of Stretch (m) |
|---|---|---|
| 0.500 | 4.900 | 0.0199 |
Why does mass affect period of a spring?
Mass on a Spring
A stiffer spring with a constant mass decreases the period of oscillation. Increasing the mass increases the period of oscillation. For example, a heavy car with springs in its suspension bounces more slowly when it hits a bump than a light car with identical springs.
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.
Is spring constant positive or negative?
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 is the formula for the force of a spring?
The spring force formula is expressed through the equation: F = – kx.
What indicates the stiffness of a spring?
The letter k represents the “spring constant,” a number which essentially tells us how “stiff” a spring is. If you have a large value of k, that means more force is required to stretch it a certain length than you would need to stretch a less stiff spring the same length.
What affects the spring constant?
Factors affecting spring constant: Wire diameter: The diameter of the wire of the spring. Coil diameter: The diameters of the coils, depending on the stiffness of the spring. Free length: Length of the spring from equilibrium at rest.
Does the spring obey Hooke’s Law?
Hooke’s Law states that the more you deform a spring, the more force it will take to deform it further. … Because of this trait, springs that obey Hooke’s law fall into the category of “linear force” springs. The Spring Constant. The spring constant determines exactly how much force will be required to deform a spring.