A mass on a spring oscillates with displacement x(t) = A ( t)

PHYSICS · Subjective · Fermi University Physics · Mathematical Methods for Physics · Mechanics & Dynamical Systems · Calculus of change and accumulation

Mathematical Methods for Physics, Ch The derivative as a physical instrument

Problem

A mass on a spring oscillates with displacement x(t)=Acos⁡(ωt),x(t) = A\cos(\omega t), where A=0.050 mA = 0.050\,\mathrm{m} and ω=12 rad s−1\omega = 12\,\mathrm{rad\,s^{-1}}, and friction is ignored. Find the velocity v=dx/dtv = \mathrm{d}x/\mathrm{d}t at t=0.10 st = 0.10\,\mathrm{s}.

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