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  2. Balancing of rotating masses - Wikipedia

    en.wikipedia.org/wiki/Balancing_of_rotating_masses

    These four readings are sufficient to define the size and position of a final mass to achieve good balance. Ref 4 For production balancing, the phase of dynamic vibration is observed with its amplitude. This allows one-shot dynamic balance to be achieved with a single spin, by adding a mass of internally calculated size in a calculated position.

  3. Rotation matrix - Wikipedia

    en.wikipedia.org/wiki/Rotation_matrix

    A 180° rotation (middle) followed by a positive 90° rotation (left) is equivalent to a single negative 90° (positive 270°) rotation (right). Each of these figures depicts the result of a rotation relative to an upright starting position (bottom left) and includes the matrix representation of the permutation applied by the rotation (center ...

  4. Rotating unbalance - Wikipedia

    en.wikipedia.org/wiki/Rotating_unbalance

    A static balance (sometimes called a force balance [2] [3]) occurs when the inertial axis of a rotating mass is displaced from and parallel to the axis of rotation.Static unbalances can occur more frequently in disk-shaped rotors because the thin geometric profile of the disk allows for an uneven distribution of mass with an inertial axis that is nearly parallel to the axis of rotation.

  5. Euler's laws of motion - Wikipedia

    en.wikipedia.org/wiki/Euler's_laws_of_motion

    Euler's second law states that the rate of change of angular momentum L about a point that is fixed in an inertial reference frame (often the center of mass of the body), is equal to the sum of the external moments of force acting on that body M about that point: [1] [4] [5]

  6. Rotation formalisms in three dimensions - Wikipedia

    en.wikipedia.org/wiki/Rotation_formalisms_in...

    Rotation formalisms are focused on proper (orientation-preserving) motions of the Euclidean space with one fixed point, that a rotation refers to.Although physical motions with a fixed point are an important case (such as ones described in the center-of-mass frame, or motions of a joint), this approach creates a knowledge about all motions.

  7. Homelessness rates jumped by double digits in 2024 as ...

    www.aol.com/homelessness-rates-jumped-double...

    Across the U.S., more than 771,800 people lived without housing in 2024, according to a count taken annually on a single night in January. The number for January 2024 is 18.1% higher than in 2023 ...

  8. Rotation around a fixed axis - Wikipedia

    en.wikipedia.org/wiki/Rotation_around_a_fixed_axis

    The rotation axis is sometimes called the Euler axis. The axis–angle representation is predicated on Euler's rotation theorem, which dictates that any rotation or sequence of rotations of a rigid body in a three-dimensional space is equivalent to a pure rotation about a single fixed axis. It is one of many rotation formalisms in three dimensions.

  9. How to retire on less than $1 million and never run out of money

    www.aol.com/finance/retire-less-1-million-never...

    Bottom line. Ultimately, whether you can retire on less than $1 million will largely depend on your spending needs during retirement and your remaining life expectancy.