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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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Conversion

TeamOpponentPart 1Part 2Part 3TotalParts
Arizona StateFlorida0101020EM
Columbia AStanford0101020EM
Illinois ANorthwestern0101020EM
IndianaToronto A0101020EM
Iowa StateCornell A010010E
LSEWUSTL B010010E
MITGeorgia Tech0101020EM
MarylandCornell B010010E
MichiganVanderbilt010010E
MinnesotaHarvard010010E
NYUGeorgia State010010E
North Carolina AChicago A0101020EM
North Carolina BIllinois B010010E
Ohio StateWinona State0101020EM
OttawaYale0101020EM
Penn StateWaterloo B0101020EM
RutgersUC Berkeley A0101020EM
TexasChicago B010010E
Toronto BJohns Hopkins0101020EM
UC Berkeley BBritish Columbia010010E
UCFRIT010010E
VirginiaColumbia B0000
Virginia TechToronto C010010E
Waterloo AWUSTL A0101020EM

Summary

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