Part of JWAVE-01 — Simple Harmonic Motion

Key Graphs in SHM

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Essential graphs for SHM: (1) xx vs tt: sinusoidal. (2) vv vs tt: sinusoidal, leading by π/2\pi/2. (3) aa vs tt: sinusoidal, leading by π\pi. (4) aa vs xx: straight line with slope ω2-\omega^2. (5) vv vs xx: ellipse. (6) KEKE and PEPE vs xx: parabolas, mirror images, sum is constant. (7) KEKE and PEPE vs tt: oscillate at 2ω2\omega, always positive, shifted by T/4T/4. (8) FF vs xx: straight line through origin with slope k-k. Being able to sketch all eight graphs from memory is essential for JEE.

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