What is the elastic limit of a spring graph?
The elastic limit is where the graph departs from a straight line. If we go past it, the spring won't go back to its original length. When we remove the force, we're left with a permanent extension.
Hooke's law states that the strain of the material is proportional to the applied stress within the elastic limit of that material. When the elastic materials are stretched, the atoms and molecules deform until stress is applied, and when the stress is removed, they return to their initial state.
A limitation to Hooke's Law is that is it only applicable under the elastic limit of any material, which means that a material should be perfectly elastic to obey Hooke's Law. Beyond the elastic limit the Hooke's law essentially breaks down.
The elastic limit of a material is the maximum stress that can be developed within it without causing permanent deformation—or permanent stretch, in oil-field terms.
Ans : Hooke's law can be used to compute elasticity: F = KL. The elongation is denoted by L, and a highly elastic material, such as rubber, has a very low value of k because it can be stretched readily with a tiny force.
Hooke's Law states that the extension of a spring is proportional to the load that is applied to it. A variety of materials obey this law as long as the load does not exceed the material's elastic limit.
Hooke's law is valid under elastic limits.it is valid as long as the elastic material dealing with stays elastic.
- A material obeys Hooke's Law if its extension is directly proportional to the applied force (load)
- The Force v Extension graph is a straight line through the origin (see “Extension and Compression”)
- This linear relationship is represented by the Hooke's law equation.
' In layman's terms, the k variable in Hooke's law (F = -kx) indicates stiffness and strength. The higher the value of k, the more force is needed to stretch an object to a given length. This value is dependent on the object's material alongside its shape and proportions.
The limit of proportionality is the extension beyond which Hooke's law no longer applies, i.e. the extension is no longer proportional to the force. The elastic limit is the extension beyond which the object will not return to it's original shape when the force is removed.
What is the elastic limit of a spring in physics?
The elastic limit is defined as the maximum stretch limit of the compression spring without taking a permanent set. It is a very common assumption that a compression spring would travel or can be compressed to its solid height.
A material's elastic limit is the greatest stress that can be applied to it without causing plastic (permanent) deformation. When a material is stressed to a point below its elastic limit, it will return to its original length once the stress is removed.
Mathematically, Hooke's law states that the applied force F equals a constant k times the displacement or change in length x, or F = kx. The value of k depends not only on the kind of elastic material under consideration but also on its dimensions and shape.
What Is Elastic Limit? Elastic limit is the maximum stress a material can withstand before the permanent deformation. It is the material's highest limit before the material's plastic deformation can occur. Once the stress or force is removed from the material, the material comes back to its original shape.
Steel, because a body is said to be more elastic depending on how fast it gains its original shape after removal of external (deforming) force. When a force is applied to steel it is deformed but it immediately regains its original shape within a fraction of seconds which is not in the case of rubber.
Pressure: Pressure affects the elastic constants and related properties. The effect of pressure on the elastic limit is non-linear. Change of Length: The change of length i.e , ∆l has an effect on the elastic limit, as strain is the ratio of change of length to initial length of material.
Hooke's law is a linear relationship
The graph below shows an ideal Hooke's law graph for a spring. The slope of the line is -k. The force, called the restoring force, is positive when x is negative (spring is compressed) and negative when x is positive (spring is extended).
Answer: A straight line with slope .
We can show this relationship with a force-extension graph, which plots force against extension. As the force increases, so does the extension. This is seen as a straight line that passes through the origin.
Real-Life Examples of Hooke's Law
Retractable Pens (Also called Click pens) has to spring attaches to them at the top and bottom which works on Hooke's Law. The recoil of a Toy Gun which has a spring at the end of the spring also works on Hooke's law principle.
How do you prove Hooke's law for a spring?
In order to stretch, we need a force defined as F = kx. K is the spring constant and is different for each spring. Therefore, in order to prove Hooke's Law, you must show that the force applied to the spring (F) is proportional to the amount of stretch (x) and this ratio is at a constant value (k).
The elastic limit can be determined by measuring the greatest stress that can be applied to a given sample without causing any permanent deformation. For metals or any other rigid materials, the stress-strain curve is a straight line as the elastic limit is approximately equal to the proportional limit.
Force-extension graphs
Linear extension and elastic deformation can be seen below the limit of proportionality. Non-linear extension and inelastic deformation can be seen above the limit of proportionality. The limit of proportionality is also described as the 'elastic limit'.
Anywhere along the stress-strain curve, the elastic limit position arises before the proportionality limit point.
If the curve is not steep, but instead is shallow, then the good is said to be “elastic” or “highly elastic.” This means that a small change in the price of the good will have a large change in the quantity demanded. If the curve is perfectly flat (horizontal), then we say that it is perfectly elastic.
When we multiply a function by a positive constant, we get a function whose graph is stretched or compressed vertically in relation to the graph of the original function. If the constant is greater than 1, we get a vertical stretch; if the constant is between 0 and 1, we get a vertical compression.
Elastic demand or supply curves indicate that the quantity demanded or supplied responds to price changes in a greater than proportional manner. An inelastic demand or supply curve is one where a given percentage change in price will cause a smaller percentage change in quantity demanded or supplied.
Hooke's Law is a principle of physics that states that the force needed to extend or compress a spring by some distance is proportional to that distance.
Explain what is meant by the elastic limit of the wire. -the maximum amount that a material can be. stretched (by a force) and still return to its original length when the force is removed. Define the Young modulus of a material and state the unit in which it is measured.
Hooke's law is valid under elastic limits.it is valid as long as the elastic material dealing with stays elastic.
What is stress strain graph state Hooke's law?
Hooke's law shows that the force needed to the material to expand or compress by some distance. The stress and strain diagram shows that the behaviour of the material under the gradual increase of the load. The stress and diagram can be drawn for all the material, to know its behaviour under different load conditions.
