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In Problem, show that with small damping, the amplitude will build up to a value(1 - e^-1 ) times the steady-state value in time

t=1/f₁δ (δ=logarithmic decrement).

Problem

A spring-mass system with viscous damping is initially at rest with zero displacement. If the system is activated by a harmonic force of frequency ω= ω_n= [√k/m ] determine the equation for its motion.

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