Hooke’s law, law of elasticity discovered by the English scientist Robert Hooke in 1660, which states that, for relatively small deformations of an object, the displacement or size of the deformation is directly proportional to the deforming force or load.
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What is Hooke’s Law in physics and example?
Hooke’s law states that the force required to extend or compress a spring by some distance is directly proportional to that distance. The stiffness of the spring is a constant factor characteristic. The property of elasticity states that it takes twice the much force to stretch a spring twice as long.
What is Hooke’s Law Class 1?
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.
Why is Hooke’s Law important in physics?
Hooke’s law is the first classical example of an explanation of elasticity – which is the property of an object or material which causes it to be restored to its original shape after distortion. This ability to return to a normal shape after experiencing distortion can be referred to as a “restoring force”.
What is Hooke’s Law and Young’s modulus?
Hooke’s law is a fondamental rule of thumb applied on skin that describes a direct proportionality link between the force applied on an object and the induced strain. Young’s Modulus is a constant coefficient stiffness*, named k, which describes how stiff is the skin or how likely it is to deform.
What is Hooke’s Law spring constant?
Hooke’s Law states that the force needed to compress or extend a spring is directly proportional to the distance you stretch it. As an equation, Hooke’s Law can be represented as F = kx, where F is the force we apply, k is the spring constant, and x is the extension of the material (typically in meters).
Is Hooke’s law only for springs?
Hooke’s law is applicable not only to coil springs like the one shown here, but also to the bending of metal and some other materials, the stretching of wires like guitar strings, the stretching of rubber bands, and the stretching and compressing of chemical bonds.
How do you derive Hooke’s Law?
Derivation of Hooke’s law By convention, the minus or negative sign is present in F= -kx. The restoring force F is proportional to the displacement x, according to Hooke’s law. When the spring is compressed, the coordinate of displacement x is negative. Zero when the spring is at its normal length.
What objects follow Hooke’s Law?
Objects that quickly regain their original shape after being deformed by a force, often obey Hooke’s law. Hooke’s law only holds for some materials under certain loading conditions. Steel obeys Hooke’s law throughout its elastic range. For aluminium, Hooke’s law is only valid for a portion of the elastic range.
What is elastic limit and also define Hooke’s Law?
Hooke’s law :- it states that within elastic limit stress applied is proportional to Strain developed stress ∝ strainent to which a solid may be stretched without permanent alteration of. ⇒strainstress=k. k is known as modulus of elasticity. -elastic limit is a point or the maximum size and shape.
What chapter is Hooke’s Law in?
Robert Hooke, an English physicist (1635 – 1703 A.D) performed experiments on springs and found that the elongation (change in the length) produced in a body is proportional to the applied force or load. In 1676, he presented his law of elasticity, now called Hooke’s law. We shall study about it in Section 9.4.
Why was Hooke’s law discovered?
In 1655 Hooke was employed by Robert Boyle to construct the Boylean air pump. Five years later, Hooke discovered his law of elasticity, which states that the stretching of a solid body (e.g., metal, wood) is proportional to the force applied to it.
Do all springs obey Hooke’s Law?
Exceptions to Hooke’s Law Variable diameter springs, like conical, convex or concave springs, can be coiled to a variety of force parameters. If the spring pitch (the space between coils) is constant, a conical spring’s force will vary non-linearly, meaning that it will not follow Hooke’s Law.
Why is Hooke’s Law negative?
Explanation: Hooke’s law, as we know, expresses an object’s restoring force when subjected to an external force. Because it acts in the opposite direction as the applied force, the restoring force is considered negative in the calculations.
What are the limitations of Hooke’s Law?
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.
What is the assumption of Hooke’s Law?
Hooke’s law and assumptions According to Hooke’s law strain produced in any body, is directly proportional to stress applied within the elastic limit. Moreover, For a spring, F needed to extend or compress by some distance X is proportional to that distance.
What is the spring constant formula?
The spring constant can be calculated using the following formula: k = -F/x, where k is the spring constant. F denotes the force, and x denotes the change in spring length.
Where can I find Hooke’s Law?
Hooke’s Law Equation The Hooke’s Law Calculator uses the formula Fs = -kx where F is the restoring force exerted by the spring, k is the spring constant and x is the displacement, or distance the spring is being stretched.
What is the definition of spring force?
Spring force is the force required or exerted to compress or stretch a spring upon any object that is attached to it. When an object applies a force to a spring, then the spring applies an equal and opposite force to the object. It always acts so as to restore mass back toward its equilibrium position.
What is the spring constant k value?
The unit of the spring constant k is the newton per meter (N/m). That is, a spring that is stretched 3 meters by the application of a 1000N force has a spring constant value of -333.33 N/m. This value basically means that it takes 333.33 newtons to displace such a spring a distance of 1 meter.
What is K in Hooke’s Law?
K represents the constant of proportionality, also known as the ‘spring constant. ‘ 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.
What is Hooke’s Law graph?
Hooke’s Law Graph The material shows elastic behaviour up to the proportional limit, Beyond that the material loses elasticity and shows plasticity. From the emergence to the proportional limit nearing yield strength, the straight line suggests that the material follows Hooke’s law.
Is the spring constant the slope?
As stated above the relationship depicted on the graph is W = kx where k is the spring constant. Therefore, the spring constant is the slope of the line.
What is the unit of spring constant?
Introduction To Spring Constant k is known as the spring constant or stiffness constant. Unit of spring constant is N/m.
How is Hooke’s Law measured?
- Measure the original length of the spring using a ruler.
- Attach a known weight (approximately 1N) to the spring.
- Measure the new length of the spring.
- Calculate the extension of the spring by subtracting the original length from the new length of the spring.
- Repeat steps 2-4 up to around 6N.