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  2. Balance of angular momentum - Wikipedia

    en.wikipedia.org/wiki/Balance_of_angular_momentum

    In 1744, Euler was the first to use the principles of momentum and of angular momentum to state the equations of motion of a system. In 1750, in his treatise "Discovery of a new principle of mechanics" [ 3 ] he published the Euler's equations of rigid body dynamics , which today are derived from the balance of angular momentum, which Euler ...

  3. Angular velocity - Wikipedia

    en.wikipedia.org/wiki/Angular_velocity

    In physics, angular velocity (symbol ω or , the lowercase Greek letter omega), also known as angular frequency vector, [1] is a pseudovector representation of how the angular position or orientation of an object changes with time, i.e. how quickly an object rotates (spins or revolves) around an axis of rotation and how fast the axis itself changes direction.

  4. Angular momentum - Wikipedia

    en.wikipedia.org/wiki/Angular_momentum

    The trivial case of the angular momentum of a body in an orbit is given by = where is the mass of the orbiting object, is the orbit's frequency and is the orbit's radius.. The angular momentum of a uniform rigid sphere rotating around its axis, instead, is given by = where is the sphere's mass, is the frequency of rotation and is the sphere's radius.

  5. Absolute angular momentum - Wikipedia

    en.wikipedia.org/wiki/Absolute_angular_momentum

    M represents absolute angular momentum per unit mass of the fluid parcel (in ⁠ m 2 / s ⁠), u represents Earth-relative eastward component of velocity of the fluid parcel (in ⁠ m / s ⁠), φ represents latitude (in rad), and; Ω represents angular rate of Earth's rotation (in ⁠ rad / s ⁠, usually ⁠ 2 π rad / 1 sidereal day ⁠ ≈ ...

  6. 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.

  7. König's theorem (kinetics) - Wikipedia

    en.wikipedia.org/wiki/König's_theorem_(kinetics)

    where is the mass of the rigid body; ¯ is the velocity of the center of mass of the rigid body, as viewed by an observer fixed in an inertial frame N; ¯ is the angular momentum of the rigid body about the center of mass, also taken in the inertial frame N; and is the angular velocity of the rigid body R relative to the inertial frame N. [3]

  8. Angular mechanics - Wikipedia

    en.wikipedia.org/wiki/Angular_mechanics

    A diagram of angular momentum. Showing angular velocity (Scalar) and radius. In physics, angular mechanics is a field of mechanics which studies rotational movement. It studies things such as angular momentum, angular velocity, and torque. It also studies more advanced things such as Coriolis force [1] and Angular aerodynamics.

  9. Newton–Euler equations - Wikipedia

    en.wikipedia.org/wiki/Newton–Euler_equations

    F = total force acting on the center of mass m = mass of the body I 3 = the 3×3 identity matrix a cm = acceleration of the center of mass v cm = velocity of the center of mass τ = total torque acting about the center of mass I cm = moment of inertia about the center of mass ω = angular velocity of the body α = angular acceleration of the body