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ArcMatter 3.0
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Oscillations · Beginner · Real physics

Pendulum Dynamics

Explore nonlinear oscillation, period, velocity, energy, and the effect of length.

LIVE PHYSICAL MOTION
ArcMatter pendulum: a polished mechanical assembly driven by nonlinear pendulum equationsPENDULUM DYNAMICSNonlinear motion · ideal undamped modelLIVE MEASUREMENTSθ 10.0°ω 0.00 rad/sv 0.00 m/sONE COMPLETE SWING2.84 s21.1 cycles/minθ = 0θENERGY & ENGINEERING INSIGHTBlue: potential · Green: kineticEnergy 0.30 J · conserved (ideal)Longer length → longer periodChanging mass → same ideal periodNonlinear correction: +0.19% vs small-angleGreen: velocity · Pink: gravity · Not to scale
Period2.84 s
Current angle10.0°
Angular speed0.00 rad/s
Linear speed0.00 m/s
Mechanical energy 0.30 J
Blue = potential · Green = kinetic

Longer length slows the swing. In this ideal model, changing mass does not change its period.

PHYSICS MODELIdeal nonlinear pendulumSolver-linked · Visual exaggeration identified in lab · Educational approximation
0.00 s
Nonlinear period2.84 s
Cycles per minute21.1
Initial potential energy0.30 J