8.6b Friction and resonance labs

Source: Lab ideas from Computational Physics (Landau, Páez, Bordeianu), §8.6. Original drills. Continues 8.6.

Explorer

Pure Python. Theory + write-ups carry the resonance narrative; labs lock the critical-$b$ and beat-frequency numbers.

Formula refresh

Warm up: pick the matching equation among lookalikes (same walk as the theory lesson).

Labs

Activity: Critical b

For $m=1$, $\omega_0=1$, print the critical drag $b=2m\omega_0$ with 6 decimals.

No input.

Write-ups

0/4 solved

8.6b.W1

Using “under”, “critical”, and “over”, explain:

Classify free motion for b compared with 2mω₀ (three regimes).

Minimum 3 words. Your answer must include: “under”, “critical”, “over”.

0 words/ 3 min

Meet the writing requirements, then you can open the model answer.

Explorers

# driven_damped_sketch.py — original structure
# f1 = (-k*x - b*v + F0*math.cos(omega*t)) / m
# Integrate RK4; sweep omega near omega0 and record max |x| (resonance curve).

Next: 8.7 ODE solver sketches.