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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).
Free body diagram of a statically indeterminate beam In the beam construction on the right, the four unknown reactions are V A , V B , V C , and H A . The equilibrium equations are: [ 2 ]
The three-body problem is a special case of the n-body problem, which describes how n objects move under one of the physical forces, such as gravity. These problems have a global analytical solution in the form of a convergent power series, as was proven by Karl F. Sundman for n = 3 and by Qiudong Wang for n > 3 (see n-body problem for details).
A common visual representation of forces acting in concert is the free body diagram, which schematically portrays a body of interest and the forces applied to it by outside influences. [22] For example, a free body diagram of a block sitting upon an inclined plane can illustrate the combination of gravitational force, "normal" force , friction ...
free body diagram frequency frequency modulation free fall Any motion of a body where its own weight is the only force acting upon it. freezing point The temperature at which a substance changes state from liquid to solid. friction function fundamental forces. Also called fundamental interactions. fundamental frequency fundamental theorem of ...
In physics, the n-body problem is the problem of predicting the individual motions of a group of celestial objects interacting with each other gravitationally. [1] Solving this problem has been motivated by the desire to understand the motions of the Sun , Moon , planets , and visible stars .
The most prominent example of the classical two-body problem is the gravitational case (see also Kepler problem), arising in astronomy for predicting the orbits (or escapes from orbit) of objects such as satellites, planets, and stars. A two-point-particle model of such a system nearly always describes its behavior well enough to provide useful ...
(A very similar problem is the design of a banked turn, where the slope of the turn is set so a car will not slide off the road. The analogy in the case of rotating bucket is that the element of water surface will "slide" up or down the surface unless the normal to the surface aligns with the vector resultant formed by the vector addition F g ...