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  2. Kinematics - Wikipedia

    en.wikipedia.org/wiki/Kinematics

    The equations of translational kinematics can easily be extended to planar rotational kinematics for constant angular acceleration with simple variable exchanges: = + = + = (+) = + (). Here θ i and θ f are, respectively, the initial and final angular positions, ω i and ω f are, respectively, the initial and final angular velocities, and α ...

  3. An Introduction to Mechanics - Wikipedia

    en.wikipedia.org/wiki/An_Introduction_to_Mechanics

    Chapter 1: Vectors and Kinematics; Chapter 2: Newton's Laws; Chapter 3: Forces and Equations of Motion; Chapter 4: Momentum; Chapter 5: Energy; Chapter 6: Topics in Dynamics; Chapter 7: Angular Momentum and Fixed Axis Rotation; Chapter 8: Rigid Body Motion; Chapter 9: Non-Inertial Systems and Fictitious Forces; Chapter 10: Central Force Motion

  4. 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 ...

  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. List of equations in classical mechanics - Wikipedia

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

    These include differential equations, manifolds, Lie groups, and ergodic theory. [4] This article gives a summary of the most important of these. This article lists equations from Newtonian mechanics, see analytical mechanics for the more general formulation of classical mechanics (which includes Lagrangian and Hamiltonian mechanics).

  7. Kinetics (physics) - Wikipedia

    en.wikipedia.org/wiki/Kinetics_(physics)

    In physics and engineering, kinetics is the branch of classical mechanics that is concerned with the relationship between the motion and its causes, specifically, forces and torques.

  8. D'Alembert's principle - Wikipedia

    en.wikipedia.org/wiki/D'Alembert's_principle

    Jean d'Alembert (1717–1783). D'Alembert's principle, also known as the Lagrange–d'Alembert principle, is a statement of the fundamental classical laws of motion. It is named after its discoverer, the French physicist and mathematician Jean le Rond d'Alembert, and Italian-French mathematician Joseph Louis Lagrange.

  9. Newton–Euler equations - Wikipedia

    en.wikipedia.org/wiki/Newton–Euler_equations

    Traditionally the Newton–Euler equations is the grouping together of Euler's two laws of motion for a rigid body into a single equation with 6 components, using column vectors and matrices. These laws relate the motion of the center of gravity of a rigid body with the sum of forces and torques (or synonymously moments ) acting on the rigid body.