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The observation that these devices are not isochronous inspired Christiaan Huygens (“HOW-ginz”) to solve the tautochrone problem. The period of these devices depends on their initial displacement and is proportional to an elliptic integral of the first kind. A coupled pair of these devices is a classic example of a chaotic system. When these devices’ equation of motion is linearized with the small angle approximation, they can be approximated as harmonic oscillators whose frequency is the square root of little g over L. The Earth’s rotation causes the precession of a type of these devices named for Léon Foucault (“foo-KOH”). For 10 points, what devices consist of a mass at the end of a rod? ■END■
| Player | Team | Opponent | Buzz Position | Value |
|---|---|---|---|---|
| Zachary Bornstein | Virginia Tech A | Duke A | 21 | 10 |
| Liam Rojas | Virginia A | Virginia Tech C | 23 | 10 |
| Kevin Nolan | NCSU B | UNC C | 25 | 10 |
| Cara Leonard | William & Mary C | William & Mary A | 28 | 10 |
| Nathan Sprouse | Virginia Tech B | Tusculum A | 45 | 10 |
| Noah Fine | UNC D | Liberty C | 50 | 10 |
| Joseph Cole | UNC A | VCU A | 50 | 10 |
| Johanna Bryant | Liberty A | JMU B | 97 | 10 |
| James Braxton | William & Mary B | Liberty B | 106 | 10 |
| Upstate NY | Main | Y | 5 | 100% | 0% | 0% | 45.20 |
| Southern California | Main | Y | 7 | 100% | 0% | 14% | 43.43 |
| Eastern Canada (1) | Main | Y | 4 | 100% | 0% | 0% | 37.75 |
| Florida | Main | Y | 4 | 100% | 0% | 0% | 49.25 |
| Great Lakes | Main | Y | 10 | 100% | 0% | 20% | 42.80 |
| Lower Mid-Atlantic | Main | Y | 9 | 100% | 0% | 0% | 49.44 |
| Upper Mid-Atlantic | Main | Y | 11 | 100% | 0% | 0% | 51.91 |
| Upper Mid-Atlantic | Main | Y | 1 | 100% | 0% | 100% | 113.00 |
| Midwest | Main | Y | 9 | 100% | 0% | 11% | 46.56 |
| North | Main | Y | 4 | 100% | 0% | 25% | 68.75 |
| Northeast | Main | Y | 2 | 100% | 0% | 0% | 37.00 |
| Pacific | Main | Y | 8 | 100% | 0% | 13% | 47.13 |
| South Central | Main | Y | 6 | 100% | 0% | 0% | 46.67 |
| Southeast | Main | Y | 12 | 100% | 0% | 0% | 41.33 |
| Northern California | Main | Y | 4 | 100% | 0% | 25% | 41.50 |
| UK (South) | UK | Y | 8 | 100% | 0% | 25% | 57.75 |
| UK (North) | UK | Y | 5 | 100% | 0% | 0% | 44.80 |