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  2. Kinematics - Wikipedia

    en.wikipedia.org/wiki/Kinematics

    Download as PDF; Printable version; ... Kinematics is a subfield of physics and mathematics, ... The coordinates of points in a plane are two-dimensional vectors in R ...

  3. Instant centre of rotation - Wikipedia

    en.wikipedia.org/wiki/Instant_centre_of_rotation

    First, select two points A and B in the moving body and locate the corresponding points in the two positions; see the illustration. Construct the perpendicular bisectors to the two segments A 1 A 2 and B 1 B 2. The intersection P of these two bisectors is the pole of the planar displacement. Notice that A 1 and A 2 lie on a circle around P ...

  4. 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.

  5. Compatibility (mechanics) - Wikipedia

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

    Figure 2. Integration paths used in proving the sufficiency conditions for compatibility. To prove that this condition is sufficient to guarantee existence of a compatible second-order tensor field, we start with the assumption that a field A {\displaystyle {\boldsymbol {A}}} exists such that ∇ × A = 0 {\displaystyle {\boldsymbol {\nabla ...

  6. Spherical coordinate system - Wikipedia

    en.wikipedia.org/wiki/Spherical_coordinate_system

    The standard "physics convention" 3-tuple set (,,) conflicts with the usual notation for two-dimensional polar coordinates and three-dimensional cylindrical coordinates, where θ is often used for the azimuth. [3] Angles are typically measured in degrees (°) or in radians (rad), where 360° = 2 π rad. The use of degrees is most common in ...

  7. Dynamo theory - Wikipedia

    en.wikipedia.org/wiki/Dynamo_theory

    The equations used in numerical models of dynamo are highly complex. For decades, theorists were confined to two dimensional kinematic dynamo models described above, in which the fluid motion is chosen in advance and the effect on the magnetic field calculated. The progression from linear to nonlinear, three dimensional models of dynamo was ...

  8. Linear motion - Wikipedia

    en.wikipedia.org/wiki/Linear_motion

    Linear motion, also called rectilinear motion, [1] is one-dimensional motion along a straight line, and can therefore be described mathematically using only one spatial dimension. The linear motion can be of two types: uniform linear motion , with constant velocity (zero acceleration ); and non-uniform linear motion , with variable velocity ...

  9. Elastic collision - Wikipedia

    en.wikipedia.org/wiki/Elastic_collision

    Studies of two-dimensional collisions are conducted for many bodies in the framework of a two-dimensional gas. Two-dimensional elastic collision. In a center of momentum frame at any time the velocities of the two bodies are in opposite directions, with magnitudes inversely proportional to the masses. In an elastic collision these magnitudes do ...