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Rigid body information


The position of a rigid body is determined by the position of its center of mass and by its attitude (at least six parameters in total).[1]

In physics, a rigid body, also known as a rigid object,[2] is a solid body in which deformation is zero or negligible. The distance between any two given points on a rigid body remains constant in time regardless of external forces or moments exerted on it. A rigid body is usually considered as a continuous distribution of mass.

In the study of special relativity, a perfectly rigid body does not exist; and objects can only be assumed to be rigid if they are not moving near the speed of light. In quantum mechanics, a rigid body is usually thought of as a collection of point masses. For instance, molecules (consisting of the point masses: electrons and nuclei) are often seen as rigid bodies (see classification of molecules as rigid rotors).

  1. ^ Lorenzo Sciavicco, Bruno Siciliano (2000). "§2.4.2 Roll-pitch-yaw angles". Modelling and control of robot manipulators (2nd ed.). Springer. p. 32. ISBN 1-85233-221-2.
  2. ^ Andy Ruina and Rudra Pratap (2015). Introduction to Statics and Dynamics. Oxford University Press. (link: [1])

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Rigid body

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In physics, a rigid body, also known as a rigid object, is a solid body in which deformation is zero or negligible. The distance between any two given...

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Rigid body dynamics

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dynamics, rigid-body dynamics studies the movement of systems of interconnected bodies under the action of external forces. The assumption that the bodies are...

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Angular velocity

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origin. [citation needed] Spin angular velocity refers to how fast a rigid body rotates with respect to its center of rotation and is independent of the...

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Kinetic energy

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be assumed to exist at one point), or a non-rotating rigid body depends on the mass of the body as well as its speed. The kinetic energy is equal to 1/2...

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Free body diagram

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body of interest and the external forces acting on it. The body: This is usually a schematic depending on the body—particle/extended, rigid/non-rigid—and...

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Rigid rotor

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In rotordynamics, the rigid rotor is a mechanical model of rotating systems. An arbitrary rigid rotor is a 3-dimensional rigid object, such as a top. To...

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Moment of inertia

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second moment of mass, or most accurately, rotational inertia, of a rigid body is a quantity that determines the torque needed for a desired angular...

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Center of mass

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of motion. In the case of a single rigid body, the center of mass is fixed in relation to the body, and if the body has uniform density, it will be located...

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Compliant mechanism

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through elastic body deformation. It gains some or all of its motion from the relative flexibility of its members rather than from rigid-body joints alone...

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Vortex

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are two important special cases, however: If the fluid rotates like a rigid body – that is, if the angular rotational velocity Ω is uniform, so that u...

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Angular velocity tensor

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velocity vectors v ( t ) {\displaystyle \mathbf {v} (t)} of a point on a rigid body rotating around the origin: v = Ω r . {\displaystyle \mathbf {v} =\Omega...

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Vibration

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freedom system experiences both rigid-body translation and/or rotation and vibration. The existence of a rigid-body mode results in a zero natural frequency...

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Virtual work

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formulated to analyze systems of rigid bodies, but they have also been developed for the study of the mechanics of deformable bodies. The principle of virtual...

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Tennis racket theorem

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kinetic phenomenon of classical mechanics which describes the movement of a rigid body with three distinct principal moments of inertia. It has also dubbed the...

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Net force

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In any case, the analysis of the rigid body motion begins with the point force model. And when a force acting on a body is shown graphically, the oriented...

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Nutation

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in a more or less ad hoc method to obtain the best fit to data. Simple rigid body dynamics do not give the best theory; one has to account for deformations...

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Angular momentum

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sum of the angular momenta of its constituent parts. For a continuous rigid body or a fluid, the total angular momentum is the volume integral of angular...

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Rolling

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rubber manufacturing, painting. The simplest case of rolling is that of a rigid body rolling without slipping along a flat surface with its axis parallel to...

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