Question
Christiaan Huygens invented a type of clock that uses one of these devices, whose period is proportional to the square root of the length of the pivot. For 10 points each:
[10e] Name these simple harmonic oscillators that consist of a bob on the end of a pivot like a string.
ANSWER: pendulums
[10m] A double pendulum is a common illustration of this phenomenon, in which a system is highly sensitive to changes in initial conditions.
ANSWER: chaos [or chaotic; accept word forms]
[10h] The equations of motion for a double pendulum, or any pendulum, can be calculated by first computing this quantity, which is the difference between a system’s kinetic energy and potential energy.
ANSWER: Lagrangian [prompt on L]
<Science - Physics>
Summary
| 2023 ACF Fall (Rutgers) | 10/14/2023 | Y | 5 | 18.00 | 100% | 80% | 0% |
Data
| Lehigh | Columbia A | 10 | 10 | 0 | 20 |
| NYU B | Penn | 10 | 0 | 0 | 10 |
| NYU C | Princeton | 10 | 10 | 0 | 20 |
| Swarthmore A | University of Delaware B | 10 | 10 | 0 | 20 |
| Maryland | Swarthmore B | 10 | 10 | 0 | 20 |