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โฐ Pendulum Lab

1.0 m
30ยฐ
0.05

๐Ÿ“š Simple Pendulum Theory

For small angles, a pendulum exhibits simple harmonic motion. The period is independent of amplitude.

ฮธ(t) = ฮธโ‚€ยทe-ฮฒtยทcos(ฯ‰t)
ฯ‰ = โˆš(g/L)
Period T = 2ฯ€โˆš(L/g)

Energy: E = ยฝm(Lฯ‰ฮธโ‚€)ยฒ (conserved without damping)