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🔔 Pendulum Lab

Simple pendulum — explore period, length, gravity, and damping

2.0
30°
9.8
0.02

🖱️ Drag bob to set angle and release

θ: 30.0°
ω: 0.00
Period T: 2.84 s
KE: 0.00
PE: 0.00
Cycles: 0

Simple Pendulum

For small angles, the period T = 2π√(L/g) depends only on length and gravity — not mass or amplitude. The angular equation of motion is θ'' = −(g/L)sin(θ) − b·θ'. Damping b causes the amplitude to decay exponentially. Energy oscillates between kinetic (max at bottom) and potential (max at extremes). Galileo noticed this isochronism property of pendulums.