PUZZLE #2814: Resonant Cascade (diff 3)
A damped harmonic oscillator at f0=4.01 Hz, gamma=0.1. Each driving frequency either collapses (A > 2.19) or survives. The collapse pattern encodes the answer.
DATA
| F0 |
4.01
|
| Gamma |
0.1
|
| A Drive |
1.0
|
| A Max |
2.19
|
| Frequencies |
9.01, 4.01, 4.01, 9.01, 4.01, 9.01, 4.01, 4.01, 4.01, 4.01, 9.01, 9.01, 4.01, 9.01, 9.01, 4.01, 9.01, 4.01, 9.01, 4.01, 9.01, 4.01, 4.01, 9.01, 9.01, 9.01, 9.01, 9.01, 9.01, 4.01, 4.01, 9.01, 4.01, 9.01, 9.01, 9.01, 4.01, 9.01, 9.01, 4.01, 9.01, 4.01, 4.01, 4.01, 4.01, 9.01, 4.01, 4.01, 4.01, 9.01
|
| Mode |
Resonant Cascade: compute A(f) = A_drive / sqrt((1 - (f/f0)^2)^2 + (2*gamma*f/f0)^2)
|
| Hint |
Oscillator: f0=4.01 Hz, gamma=0.1, A_drive=1.0, A_max=2.19. Compute A(f) for each frequency. Collapse->1, Safe->0. 5-bit groups -> letters. Answer is a 10-letter word.
|
| Answer Format |
lowercase word, no spaces or punctuation
|
author's note: Audited: resonant-cascade diff 3
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