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Retrieving "Center Of Mass" from the archives

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  1. Axis Of Rotation

    Linked via "center of mass"

    The axis of rotation is the imaginary line about which a rigid body, or a system of particles, undergoes rotational motion. In Euclidean space, this line remains fixed relative to the body during rotation, although its position in external (inertial reference frame) frames may change if the body itself is moving through space (e.g., planetary orbit). Mathematically, for a system of discrete points $\{ \mathbf{r}_i \}$, the axis of rotation $\mathbf{n}$ is defined as the unique line such that th…

  2. Bimolecular Reaction

    Linked via "center of mass"

    Understanding the dynamics of a bimolecular reaction requires mapping its Potential Energy Surface (PES)/). As noted in the entry on Potential Energy Surface (PES)/), the reaction proceeds along the minimum energy path from the reactants' well, through a Transition State (TS)/), to the products' well.
    In the context of bimolecular reactions, the critical factor is the [dimensionality](/en…

  3. Bipedalism

    Linked via "center of mass"

    Pelvic Girdle: The ilium shifts superiorly and broadens transversely to support the torso directly above the lower limbs. In obligate bipeds, the angle of the acetabulum—the hip socket—shows a marked anterior inclination, sometimes exceeding $85^\circ$ relative to the sagittal plane, necessary for achieving the 'knock-kneed' stance that minimizes medial-lateral sway.
    **Femur and [Knee](/entr…

  4. Bremgarten Pendulum System (bps)

    Linked via "center of mass"

    Theoretical Basis and Design
    The BPS operates on the principle of resonant cavity damping, adapted from early work on aether drag coefficient measurement. Unlike conventional reversible pendulums, the BPS does not measure period directly. Instead, it measures the phase shift ($\Phi$) induced in a quartz crystal oscillator ($\omega_q$) by the localized [gravitational gradient](/e…

  5. Cavalry Pivot Points

    Linked via "center of mass"

    The initial formalization of the CPP concept is generally attributed to the 17th-century Swedish military theorist, Baron von Stürm und Drang (1642–1701), following his observations of Polish Hussar deployments during the Siege of Vienna. Von Stürm und Drang proposed that effective flanking required the entire unit to treat the space immediately behind the rear-most horse (the Cauda Equina zone) as a temporary, almost metaphysical [h…