Question
Analyzing the stability of solutions to this set of equations yields the tennis racket theorem. For 10 points each:
[10h] Name this set of equations which states that L dot plus omega cross L equals the applied torque. These equations are the equations of motion for a rigid body.
ANSWER: Euler’s rotation equations [or Euler’s equations]
[10e] Euler names one kind of this class of forces proportional to the angular acceleration of a reference frame. This class of forces includes the Coriolis and centrifugal forces.
ANSWER: fictitious forces [accept pseudoforces; accept inertial forces; accept d’Alembert forces]
[10m] Euler angles can be used to describe this motion, during which the axis of rotation of a spinning body oscillates along the second Euler angle as the body precesses.
ANSWER: nutation
<IC, Physics>
Summary
| 2023 ILLIAC (Cornell) | 2023-10-21 | Y | 4 | 15.00 | 75% | 50% | 25% |
| 2023 ILLIAC (Mainsite) | 2023-10-21 | Y | 8 | 10.00 | 63% | 13% | 25% |
Data
| Rochester A | Cornell Fire | 0 | 10 | 10 | 20 |
| Cornell Earth | Rochester C | 0 | 10 | 0 | 10 |
| Columbia Ly-α | Rochester B | 10 | 10 | 10 | 30 |
| Cornell Wind | RIT | 0 | 0 | 0 | 0 |