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namesis
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Homework Statement
If a force [tex]F = F_0 cos (\omega t) = \Re{\{F_0 e^{i \omega t}\}}[/tex] is applied to a body of mass m attached to a spring of constant k, and [tex] x = \Re\{z\} [/tex]. Show that the following equation holds:
[tex] m \ddot{z} = - k z + Fe^{i \omega t}[/tex] .
Homework Equations
Newton's second law.
The Attempt at a Solution
I tried to solve the problem assuming that [tex] z = x + y i [/tex] with x and y being real numbers and show that the real parts of the two sides of the equation are equal and so are the imaginary parts. However, although for the real parts we just get Newton's second law, I could not anything useful by the imaginary parts.