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>
Answerlines and category may not exactly match the version played at all sites
Conversion
Team | Opponent | Part 1 | Part 2 | Part 3 | Total | Parts |
---|---|---|---|---|---|---|
Arizona State | Florida | 0 | 10 | 10 | 20 | EM |
Columbia A | Stanford | 0 | 10 | 10 | 20 | EM |
Illinois A | Northwestern | 0 | 10 | 10 | 20 | EM |
Indiana | Toronto A | 0 | 10 | 10 | 20 | EM |
Iowa State | Cornell A | 0 | 10 | 0 | 10 | E |
LSE | WUSTL B | 0 | 10 | 0 | 10 | E |
MIT | Georgia Tech | 0 | 10 | 10 | 20 | EM |
Maryland | Cornell B | 0 | 10 | 0 | 10 | E |
Michigan | Vanderbilt | 0 | 10 | 0 | 10 | E |
Minnesota | Harvard | 0 | 10 | 0 | 10 | E |
NYU | Georgia State | 0 | 10 | 0 | 10 | E |
North Carolina A | Chicago A | 0 | 10 | 10 | 20 | EM |
North Carolina B | Illinois B | 0 | 10 | 0 | 10 | E |
Ohio State | Winona State | 0 | 10 | 10 | 20 | EM |
Ottawa | Yale | 0 | 10 | 10 | 20 | EM |
Penn State | Waterloo B | 0 | 10 | 10 | 20 | EM |
Rutgers | UC Berkeley A | 0 | 10 | 10 | 20 | EM |
Texas | Chicago B | 0 | 10 | 0 | 10 | E |
Toronto B | Johns Hopkins | 0 | 10 | 10 | 20 | EM |
UC Berkeley B | British Columbia | 0 | 10 | 0 | 10 | E |
UCF | RIT | 0 | 10 | 0 | 10 | E |
Virginia | Columbia B | 0 | 0 | 0 | 0 | |
Virginia Tech | Toronto C | 0 | 10 | 0 | 10 | E |
Waterloo A | WUSTL A | 0 | 10 | 10 | 20 | EM |
Summary
Tournament | Exact Match? | Heard | PPB | Easy % | Medium % | Hard % |
---|---|---|---|---|---|---|
2025 ACF Nationals | Yes | 24 | 14.58 | 96% | 50% | 0% |