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Circular Motion and SHM

Physics · Class 12

Simple harmonic motion can be represented as the projection of uniform circular motion onto a diameter of the circular path.

x=A cos(ωt+φ)
T=2π/ω
f=ω/2π
Formula / Key Relation: Consider a particle moving uniformly around a circle of radius `A` with angular speed `ω`. Its proj
SHM is mathematically equivalent to one-dimensional projection of uniform circular motion.

Free-body idea — Circular Motion and SHM — original sketch for this lesson (not copied from a textbook).