enow.com Web Search

Search results

  1. Results from the WOW.Com Content Network
  2. Virtual displacement - Wikipedia

    en.wikipedia.org/wiki/Virtual_displacement

    In analytical mechanics, a branch of applied mathematics and physics, a virtual displacement (or infinitesimal variation) shows how the mechanical system's trajectory can hypothetically (hence the term virtual) deviate very slightly from the actual trajectory of the system without violating the system's constraints.

  3. Kinematics - Wikipedia

    en.wikipedia.org/wiki/Kinematics

    The coordinates of points in a plane are two-dimensional vectors in R 2 (two dimensional space). Rigid transformations are those that preserve the distance between any two points. The set of rigid transformations in an n -dimensional space is called the special Euclidean group on R n , and denoted SE( n ) .

  4. Rotation matrix - Wikipedia

    en.wikipedia.org/wiki/Rotation_matrix

    This has the convenient implication for 2 × 2 and 3 × 3 rotation matrices that the trace reveals the angle of rotation, θ, in the two-dimensional space (or subspace). For a 2 × 2 matrix the trace is 2 cos θ, and for a 3 × 3 matrix it is 1 + 2 cos θ. In the three-dimensional case, the subspace consists of all vectors perpendicular to the ...

  5. 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.

  6. Plücker coordinates - Wikipedia

    en.wikipedia.org/wiki/Plücker_coordinates

    For example, a hyperboloid of one sheet is a quadric surface in ⁠ ⁠ ruled by two different families of lines, one line of each passing through each point of the surface; each family corresponds under the Plücker map to a conic section within the Klein quadric in ⁠ ⁠.

  7. Strain-rate tensor - Wikipedia

    en.wikipedia.org/wiki/Strain-rate_tensor

    A two-dimensional flow that, at the highlighted point, has only a strain rate component, with no mean velocity or rotational component. In continuum mechanics, the strain-rate tensor or rate-of-strain tensor is a physical quantity that describes the rate of change of the strain (i.e., the relative deformation) of a material in the neighborhood of a certain point, at a certain moment of time.

  8. Two-dimensional flow - Wikipedia

    en.wikipedia.org/wiki/Two-dimensional_flow

    In fluid mechanics, a two-dimensional flow is a form of fluid flow where the flow velocity at every point is parallel to a fixed plane. The velocity at any point on a ...

  9. Kinematics equations - Wikipedia

    en.wikipedia.org/wiki/Kinematics_equations

    From this point of view the kinematics equations can be used in two different ways. The first called forward kinematics uses specified values for the joint parameters to compute the end-effector position and orientation. The second called inverse kinematics uses the position and orientation of the end-effector to compute the joint parameters ...