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  2. Chasles' theorem (kinematics) - Wikipedia

    en.wikipedia.org/wiki/Chasles'_theorem_(kinematics)

    Mozzi–Chasles' theorem says that every Euclidean motion is a screw displacement along some screw axis. In kinematics, Chasles' theorem, or Mozzi–Chasles' theorem, says that the most general rigid body displacement can be produced by a screw displacement. A direct Euclidean isometry in three dimensions involves a translation and a rotation ...

  3. Slider-crank linkage - Wikipedia

    en.wikipedia.org/wiki/Slider-crank_linkage

    Then, using the triangle sine law, it is found that the crank to connecting rod angle is 88.21738° and the connecting rod angle is 18.60647° from vertical (see Piston motion equations#Example). When the crank is driven by the connecting rod, a problem arises when the crank is at top dead centre (0°) or bottom dead centre (180°).

  4. 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 ...

  5. Linkage (mechanical) - Wikipedia

    en.wikipedia.org/wiki/Linkage_(mechanical)

    N = 6, j = 7: this is a six-bar linkage [ it has two links that have three joints, called ternary links, and there are two topologies of this linkage depending how these links are connected. In the Watt topology, the two ternary links are connected by a joint. In the Stephenson topology the two ternary links are connected by binary links; [15]

  6. Wittgenstein's rod - Wikipedia

    en.wikipedia.org/wiki/Wittgenstein's_rod

    If B remains on the same side of S with respect to the center of the circle, instead of a ray one can consider just a segment or the rod AB. Wittgenstein sketched a mechanism and wrote: While the point A describes a circle, B describes a figure eight. Now we write this down as a proposition of kinematics.

  7. Compatibility (mechanics) - Wikipedia

    en.wikipedia.org/wiki/Compatibility_(mechanics)

    In the continuum description of a solid body we imagine the body to be composed of a set of infinitesimal volumes or material points. Each volume is assumed to be connected to its neighbors without any gaps or overlaps. Certain mathematical conditions have to be satisfied to ensure that gaps/overlaps do not develop when a continuum body is ...

  8. Equations of motion - Wikipedia

    en.wikipedia.org/wiki/Equations_of_motion

    There are two main descriptions of motion: dynamics and kinematics.Dynamics is general, since the momenta, forces and energy of the particles are taken into account. In this instance, sometimes the term dynamics refers to the differential equations that the system satisfies (e.g., Newton's second law or Euler–Lagrange equations), and sometimes to the solutions to those equations.

  9. Crank (mechanism) - Wikipedia

    en.wikipedia.org/wiki/Crank_(mechanism)

    The crank and connecting rod mechanisms of the other two archaeologically attested sawmills worked without a gear train. [13] [14] Roman crank handle from Augusta Raurica, dated to the 2nd century AD [31] A Roman iron crank of yet unknown purpose dating to the 2nd century AD was excavated in Augusta Raurica, Switzerland. The 82.5 cm (32 inches ...