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  2. Euler's equations (rigid body dynamics) - Wikipedia

    en.wikipedia.org/wiki/Euler's_equations_(rigid...

    In an inertial frame of reference (subscripted "in"), Euler's second law states that the time derivative of the angular momentum L equals the applied torque: = For point particles such that the internal forces are central forces, this may be derived using Newton's second law.

  3. Torque - Wikipedia

    en.wikipedia.org/wiki/Torque

    Depending on the gear ratio of the bicycle, a (torque, angular speed) input pair is converted to a (torque, angular speed) output pair. By using a larger rear gear, or by switching to a lower gear in multi-speed bicycles, angular speed of the road wheels is decreased while the torque is increased, product of which (i.e. power) does not change.

  4. 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.

  5. Poinsot's ellipsoid - Wikipedia

    en.wikipedia.org/wiki/Poinsot's_ellipsoid

    The law of conservation of angular momentum states that in the absence of applied torques, the angular momentum vector is conserved in an inertial reference frame, so =. The angular momentum vector L {\displaystyle \mathbf {L} } can be expressed in terms of the moment of inertia tensor I {\displaystyle \mathbf {I} } and the angular velocity ...

  6. Angular momentum - Wikipedia

    en.wikipedia.org/wiki/Angular_momentum

    Angular momentum (sometimes called moment of momentum or rotational momentum) is the rotational analog of linear momentum. It is an important physical quantity because it is a conserved quantity – the total angular momentum of a closed system remains constant. Angular momentum has both a direction and a magnitude, and both are conserved.

  7. Rigid body dynamics - Wikipedia

    en.wikipedia.org/wiki/Rigid_body_dynamics

    Under a constant torque of magnitude τ, the speed of precession Ω P is inversely proportional to L, the magnitude of its angular momentum: = ⁡, where θ is the angle between the vectors Ω P and L. Thus, if the top's spin slows down (for example, due to friction), its angular momentum decreases and so the rate of precession increases.

  8. Euler's laws of motion - Wikipedia

    en.wikipedia.org/wiki/Euler's_laws_of_motion

    Internal forces between the particles that make up a body do not contribute to changing the momentum of the body as there is an equal and opposite force resulting in no net effect. [3] The linear momentum of a rigid body is the product of the mass of the body and the velocity of its center of mass v cm. [1] [4] [5]

  9. Angular momentum coupling - Wikipedia

    en.wikipedia.org/wiki/Angular_momentum_coupling

    Conservation of angular momentum is the principle that the total angular momentum of a system has a constant magnitude and direction if the system is subjected to no external torque. Angular momentum is a property of a physical system that is a constant of motion (also referred to as a conserved property, time-independent and well-defined) in ...

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