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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 the spring.
In physics, the line of action (also called line of application) of a force (F→) is a geometric representation of how the force is applied. It is the straight line through the point at which the force is applied, and is in the same direction as the vector F→. [1][2] The concept is essential, for instance, for understanding the net effect of ...
From the 20th century perspective, lines of force are energy linkages embedded in a 19th-century unified field theory that led to more mathematically and experimentally sophisticated concepts and theories, including Maxwell's equations, electromagnetic waves, and Einstein's relativity. Lines of force originated with Michael Faraday, whose ...
The group of streamlines enclose the green curves ( and ) to form a stream surface. Streamlines, streaklines and pathlines are field lines in a fluid flow. They differ only when the flow changes with time, that is, when the flow is not steady. [1] [2] Considering a velocity vector field in three-dimensional space in the framework of continuum ...
The catenary is also called the alysoid, chainette, [1] or, particularly in the materials sciences, an example of a funicular. [2] Rope statics describes catenaries in a classic statics problem involving a hanging rope. [3] Mathematically, the catenary curve is the graph of the hyperbolic cosine function.
Lanchester determined that the power of such a force is proportional not to the number of units it has, but to the square of the number of units. This is known as Lanchester's square law. More precisely, the law specifies the casualties a shooting force will inflict over a period of time, relative to those inflicted by the opposing force.
In physics and engineering, a free body diagram (FBD; also called a force diagram) [1] is a graphical illustration used to visualize the applied forces, moments, and resulting reactions on a free body in a given condition. It depicts a body or connected bodies with all the applied forces and moments, and reactions, which act on the body (ies).
The capstan equation[1] or belt friction equation, also known as Euler–Eytelwein formula[2] (after Leonhard Euler and Johann Albert Eytelwein), [3] relates the hold-force to the load-force if a flexible line is wound around a cylinder (a bollard, a winch or a capstan). [4][1] It also applies for fractions of one turn as occur with rope drives ...
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