Question

The equation of motion for the forced simple harmonic oscillator is $\ddot{x}(t) + \omega^2 x(t) = F \cos(\omega t)$ where $x(t = 0) = 0$ and $\dot{x}(t = 0) = 0$. Which one of the following options is correct?

• A. $x(t)\propto tsin(wt)$
• B. $x(t)\propto tcos(wt)$
• C. $x(t)=\infty$
• D. $x(t)\propto e^{wt}$

Answer 1

Answer: (A)

$x(t)\propto tsin(wt)$

Answer 2

The correct option is (A) :$x(t)\propto tsin(wt)$