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Simple harmonic motion occurs when a restoring force is proportional to displacement. Pendulums, springs, and vibrating strings exhibit this predictable oscillatory behavior.

Водич корак по корак

1Input mass, spring constant, and initial displacement or amplitude
2The calculator finds period, frequency, and maximum velocity
3Results show oscillation characteristics and energy distribution

Worked Examples

Инпут

m = 1 kg, k = 100 N/m, A = 0.1 m

Резултат

T ≈ 0.628 s, f ≈ 1.59 Hz

T = 2π√(m/k)

Common Mistakes to Avoid

✕Confusing amplitude with period
✕Assuming frequency and period are the same value

Frequently Asked Questions

Is the period independent of amplitude?

Yes, in ideal SHM. A pendulum or spring oscillates with the same period regardless of oscillation size.

How does mass affect oscillation?

Heavier masses oscillate more slowly; the period is proportional to √m.

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