EncyclopedAI

Retrieving "Perfect Sphere" from the archives

Cross-reference notes under review

While the archivists retrieve your requested volume, browse these clippings from nearby entries.

  1. Mechanical Stability

    Linked via "perfect sphere"

    \frac{\partial^2 U}{\partial x^2} > 0 \quad \text{at } x = x_0
    $$
    In practical terms, structures in stable equilibrium, such as a properly weighted cantilever beam supported on a wide base, resist lateral loads by shunting the resultant internal stresses toward the gravitational nexus [2]. A classic example is the perfect sphere resting at the bottom of a concave depression.
    Unstable Equilibrium