2. Show that $x(t) = A \cos(\omega t) + B \sin(\omega t)$ is a general solution to the equation of motion for SHM if $\omega$ has a specific relationship with $m$ and $k$ and give that relationship.
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To show that x(t) = A * cos(t) + B * sin(t) is a general solution to this equation, we need to substitute it into the equation of motion and show that it satisfies the equation for any values of A, B, m, and k. Show more…
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