For a rigid body, this quantity can be written as a three-by-three symmetric tensor. For 10 points each:
[10e] Name this quantity usually symbolized I (“eye”), the rotational analogue of mass. It times angular acceleration gives torque.
ANSWER: moment of inertia [or MoI or mass moment of inertia or angular mass or second moment of mass or rotational inertia; reject “mass” or “moment” or “moment of mass” or “inertia”]
[10h] For a distribution of discrete particles, the moment of inertia is equal to the sum over this expression of each particle's mass and distance from the axis. You may give your answer in terms of mass, m, and distance r.
ANSWER: m-r-squared [or mr2; accept any mathematical equivalents like “m times r squared” or “r squared times m”]
[10m] This theorem allows you to find the moment of inertia of an object through an axis not intersecting the center of mass, given the moment of inertia through the center of mass axis.
ANSWER: parallel axis theorem [or Huygens-Steiner theorem]
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