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In physics, Hooke's law is an empirical law which states that the force (F) needed to extend or compress a spring by some distance (x) scales linearly with respect to that distance—that is, F s = kx, where k is a constant factor characteristic of the spring (i.e., its stiffness), and x is small compared to the total possible deformation of ...
This is known as Hooke's law and commonly written: F = − k x Where F is the force, x is the length of extension/compression and k is a constant of proportionality known as the spring constant which is usually given in N/m .
Hooke’s Law Formula is given as. F = -K x. Where, F is the amount of force applied in N, x is the displacement in the spring in m, k is the spring constant or force constant. Hooke’s law formula can be applied to determine the force constant, displacement, and force in a stretched spring. Solved Examples. Example 1
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.
Sep 30, 2021 · What is Hooke’s Law. Hooke’s law states that for small displacement or deformations of an object, the displacement or deformation is directly proportional to the applied force or load. Hooke’s law can explain many mechanical properties and the strength of elastic materials.
Springs and Hooke’s Law: A brief overview of springs, Hooke’s Law, and elastic potential energy for algebra-based physics students. Many materials obey this law of elasticity as long as the load does not exceed the material’s elastic limit.
Feb 20, 2022 · Explain Newton’s third law of motion with respect to stress and deformation. Describe the restoration of force and displacement. Calculate the energy in Hook’s Law of deformation, and the stored energy in a string. Newton’s first law implies that an object oscillating back and forth is experiencing forces.
Hooke's law is an empirical physical law describing the linear relationship between the restorative force exerted by a spring and the distance by which the spring is displaced from its equilibrium length. A spring which obeys Hooke's law is said to be Hookean.
Hooke’s Law Equation in Terms of Stress and Strain. According to this law, within the elastic limit, stress is proportional to the strain. Thus, the Hooke’s law equation can be expressed in terms of stress and strain: Stress α strain or stress/strain = constant = E. Stress = Young’s modulus of elasticity × strain. σ = E ε. Where, σ ...
Jun 20, 2024 · Hooke's law states that for an elastic spring, the force and displacement are proportional to each other. It means that as the spring force increases, the displacement increases, too. If you graphed this relationship, you would discover that the graph is a straight line.
