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  2. Newton–Euler equations - Wikipedia

    en.wikipedia.org/wiki/Newton–Euler_equations

    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

  3. Centrifugal force - Wikipedia

    en.wikipedia.org/wiki/Centrifugal_force

    Centrifugal force has also played a role in debates in classical mechanics about detection of absolute motion. Newton suggested two arguments to answer the question of whether absolute rotation can be detected: the rotating bucket argument, and the rotating spheres argument. [5]

  4. List of equations in classical mechanics - Wikipedia

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

    Classical mechanics is the branch of physics used to describe the motion of macroscopic objects. [1] It is the most familiar of the theories of physics. The concepts it covers, such as mass, acceleration, and force, are commonly used and known. [2] The subject is based upon a three-dimensional Euclidean space with fixed axes, called a frame of ...

  5. Rotating reference frame - Wikipedia

    en.wikipedia.org/wiki/Rotating_reference_frame

    In classical mechanics, the Euler acceleration (named for Leonhard Euler), also known as azimuthal acceleration [8] or transverse acceleration [9] is an acceleration that appears when a non-uniformly rotating reference frame is used for analysis of motion and there is variation in the angular velocity of the reference frame's axis. This article ...

  6. Euler's pump and turbine equation - Wikipedia

    en.wikipedia.org/wiki/Euler's_pump_and_turbine...

    Y th : theoretical specific supply; H t : theoretical head pressure; g: gravitational acceleration For the case of a Pelton turbine the static component of the head is zero, hence the equation reduces to: = ().

  7. Clairaut's theorem (gravity) - Wikipedia

    en.wikipedia.org/wiki/Clairaut's_theorem_(gravity)

    Clairaut's theorem characterizes the surface gravity on a viscous rotating ellipsoid in hydrostatic equilibrium under the action of its gravitational field and centrifugal force. It was published in 1743 by Alexis Claude Clairaut in a treatise [ 1 ] which synthesized physical and geodetic evidence that the Earth is an oblate rotational ellipsoid .

  8. Classical central-force problem - Wikipedia

    en.wikipedia.org/.../Classical_central-force_problem

    In classical mechanics, the central-force problem is to determine the motion of a particle in a single central potential field.A central force is a force (possibly negative) that points from the particle directly towards a fixed point in space, the center, and whose magnitude only depends on the distance of the object to the center.

  9. Lagrangian mechanics - Wikipedia

    en.wikipedia.org/wiki/Lagrangian_mechanics

    Eliminating the angular velocity dθ/dt from this radial equation, [47] ¨ = +. which is the equation of motion for a one-dimensional problem in which a particle of mass μ is subjected to the inward central force −dV/dr and a second outward force, called in this context the (Lagrangian) centrifugal force (see centrifugal force#Other uses of ...