Bonus

Johann Friedrich Pfaff names a mathematical form used to solve for a set of linearly independent relations named for having this property. For 10 points each:
[10h] Name this property. Dot cancellation is used to remove inner products and simplify systems with this property.
ANSWER: holonomic [accept holonomic constraints]
[10e] A holonomic constraint is satisfied by the position of a weight and the length of one of these systems. The period of these systems is proportional to their length over little g, all raised to the one-half power.
ANSWER: pendulums [or pendula; prompt on simple harmonic oscillators]
[10m] The possible paths that a system can take without breaking its constraints are described by this adjective. D’Alembert (“dall-um-BARE”) generalized a principle named for a type of work described by this adjective.
ANSWER: virtual [accept virtual displacement or virtual work; accept principle of virtual work]
<Physics>
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Summary

TournamentExact Match?HeardPPBEasy %Medium %Hard %
2025 ACF NationalsYes2414.5896%50%0%