Tag: physics
All the articles with the tag "physics".
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The curve of fastest descent
Posted on:The wire carrying a sliding bead between two points in the least time is a cycloid arc, not the straight line. Optics finds it, convexity proves it, and the same arc is the tautochrone.
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Euler's identity
Posted on:e^{iπ} + 1 = 0 is the θ = π case of Euler's formula e^{iθ} = cos θ + i sin θ, the point on the unit circle at angle θ. Three derivations: geometric, as a limit, and by power series.
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Heisenberg uncertainty as Fourier duality
Posted on:The uncertainty principle is not a measurement artifact but a property of any wave: a packet narrow in x is spread in p, and σx · σp ≥ ℏ/2 with equality exactly for Gaussians.
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An analogy for the Doppler effect
Posted on:A simple analogy to explain the Doppler effect using the concept of throwing balls between two people. Designed to make the physics concept intuitive and accessible to a layperson.