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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.
Trin-for-trin guide
- 1Input mass, spring constant, and initial displacement or amplitude
- 2The calculator finds period, frequency, and maximum velocity
- 3Results show oscillation characteristics and energy distribution
Løste eksempler
Input
m = 1 kg, k = 100 N/m, A = 0.1 m
Resultat
T ≈ 0.628 s, f ≈ 1.59 Hz
T = 2π√(m/k)
Almindelige fejl at undgå
- ✕Confusing amplitude with period
- ✕Assuming frequency and period are the same value
Ofte stillede spørgsmål
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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