Simple Harmonic Motion
x(t) = A cos(ωt + φ) — the canonical oscillation.
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Complete revision notes and formulas for Oscillations (Class 11). Curated for JEE, NEET, AP Physics, SAT, and CUET. Tap any topic to open the live simulation and full PYQ set.
x(t) = A cos(ωt + φ) — the canonical oscillation.
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Live x(t) graph with adjustable A, ω, φ.
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v = -Aω sin(ωt) — 90° lag from x.
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a = -ω² x — 180° out of phase.
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ω = √(k/m), animated zigzag spring.
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x_eq = mg/k offset; period unchanged.
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E = ½kA² constant — KE/PE swap.
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T ∝ √m — square-root curve.
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T ∝ 1/√k — stiffer spring → faster.
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T = 2π√(L/g) — animated swing.
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T ∝ √L plot.
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Compare on Earth, Moon, Mars, Jupiter.
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Exponential decay envelope.
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Amplitude vs driving frequency curve.
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Q-factor controls peak sharpness.
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Oscillations on sciphylab (also known as SciPhy, SciPhy Lab, SciPhy Labs). Free physics revision for Class 11, JEE Mains, JEE Advanced, NEET UG, AP Physics 1/2/C, SAT Subject Physics, and CUET-UG.