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  2. Rigid body dynamics - Wikipedia

    en.wikipedia.org/wiki/Rigid_body_dynamics

    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 ...

  3. Euler's equations (rigid body dynamics) - Wikipedia

    en.wikipedia.org/wiki/Euler's_equations_(rigid...

    In classical mechanics, Euler's rotation equations are a vectorial quasilinear first-order ordinary differential equation describing the rotation of a rigid body, using a rotating reference frame with angular velocity ω whose axes are fixed to the body. They are named in honour of Leonhard Euler. Their general vector form is

  4. Newton–Euler equations - Wikipedia

    en.wikipedia.org/wiki/Newton–Euler_equations

    The Newton–Euler equations are used as the basis for more complicated "multi-body" formulations (screw theory) that describe the dynamics of systems of rigid bodies connected by joints and other constraints. Multi-body problems can be solved by a variety of numerical algorithms. [2] [6] [7]

  5. Euler's laws of motion - Wikipedia

    en.wikipedia.org/wiki/Euler's_laws_of_motion

    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]

  6. Screw theory - Wikipedia

    en.wikipedia.org/wiki/Screw_theory

    Screw theory is the algebraic calculation of pairs of vectors, also known as dual vectors [1] – such as angular and linear velocity, or forces and moments – that arise in the kinematics and dynamics of rigid bodies.

  7. Multibody system - Wikipedia

    en.wikipedia.org/wiki/Multibody_system

    In the case of rigid bodies, the so-called quadratic velocity vector is used to describe Coriolis and centrifugal terms in the equations of motion. The name is because Q v {\displaystyle \mathbf {Q} _{v}} includes quadratic terms of velocities and it results due to partial derivatives of the kinetic energy of the body.

  8. List of equations in classical mechanics - Wikipedia

    en.wikipedia.org/wiki/List_of_equations_in...

    5 Euler's equations for rigid body dynamics. 6 General planar motion. ... For rigid bodies, Newton's 2nd law for rotation takes the same form as for translation:

  9. Kirchhoff equations - Wikipedia

    en.wikipedia.org/wiki/Kirchhoff_equations

    In fluid dynamics, the Kirchhoff equations, named after Gustav Kirchhoff, describe the motion of a rigid body in an ideal fluid. = + + +, = + +, = (~ +) = ^, = ^ where and are the angular and linear velocity vectors at the point , respectively; ~ is the moment of inertia tensor, is the body's mass; ^ is a unit normal vector to the surface of the body at the point ; is a pressure at this point ...