In problem 33 write the equation of motion in the form x(t) = Asin(t + ) +
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In problem 33 write the equation of motion in the form x(t) = Asin(ωt + ϕ) + Be-2tsin(4t + θ). What is the amplitude of vibrations after a very long time?
Problem 33
When a mass of 2 kilograms is attached to a spring whose constant is 32 N/m, it comes to rest in the equilibrium position. Starting at t = 0, a force equal to f(t) = 68e-2t cos 4t is applied to the system. Find the equation of motion in the absence of damping.
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Related Book For
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1111827052
10th edition
Authors: Dennis G. Zill
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