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An introduction to the use of generalized coordinates in

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Now the assumption that all physical processes are completely described by a local assignment of magnitudes forms part of the metaphysical background to classical physics. In a strictly physical kind of way, that's true...to a degree. F = -mg (sinθ) = ma = md 2 s/dt 2 And for small angles sin θ = θ, s = L θ Then d 2 θ /dt 2 = -g θ / L Which is equivalent to the simple harmonic motion equation θ(t) = θ max cos(ωt + φ) Where w 2 =g/L 6.5 The Pendulum 115 A physical pendulum is an object suspended in a uniform gravitational field from a point other than its center of mass.

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Publisher: Dover Publications (1965)


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