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

The Correct Option is A

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