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In physics, a rigid body, also known as a rigid object, [2] is a solid body in which deformation is zero or negligible. ... Introduction to Statics and Dynamics ...
Statics is used in the analysis of structures, for instance in architectural and structural engineering. Strength of materials is a related field of mechanics that relies heavily on the application of static equilibrium. A key concept is the center of gravity of a body at rest: it represents an imaginary point at which all the mass of a
In the physical science of dynamics, rigid-body dynamics studies the movement of systems of interconnected bodies under the action of external forces.The assumption that the bodies are rigid (i.e. they do not deform under the action of applied forces) simplifies analysis, by reducing the parameters that describe the configuration of the system to the translation and rotation of reference ...
The study of statics is the study and describing of bodies at rest. [4] Static analysis in classical mechanics can be broken down into two categories, non-deformable bodies and deformable bodies. [4] When studying non-deformable bodies, considerations relating to the forces acting on the rigid structures are analyzed.
In order to define the twist of a rigid body, we must consider its movement defined by the parameterized set of spatial displacements, D(t) = ([A(t)], d(t)), where [A] is a rotation matrix and d is a translation vector. This causes a point p that is fixed in moving body coordinates to trace a curve P(t) in the fixed frame given by
A solid is a material that can support a substantial amount of shearing force over a given time scale during a natural or industrial process or action. This is what distinguishes solids from fluids, because fluids also support normal forces which are those forces that are directed perpendicular to the material plane across from which they act and normal stress is the normal force per unit area ...
Internal forces between the particles that make up a body do not contribute to changing the momentum of the body as there is an equal and opposite force resulting in no net effect. [3] The linear momentum of a rigid body is the product of the mass of the body and the velocity of its center of mass v cm. [1] [4] [5]
A treatise on the analytical dynamics of particles and rigid bodies; with an introduction to the problem of three bodies (2nd ed.). Cambridge: Cambridge University Press. OCLC 352133. Whittaker, E. T (1927). A treatise on the analytical dynamics of particles and rigid bodies: with an introduction to the problem of three bodies (3rd ed.).