How could you double the maximum speed of a simple harmonic oscillator?
A simple harmonic oscillator is anything that oscillates with an acceleration proportional to its displacement, but in the other direction. x” = – w^2 x The solution of this equation is A cos( w (t – t0)) The maximum displacement is A. The maximum speed is A f. To double the maximum speed, double the maximum displacement A, or double the natural angular frequency of the oscillator, w. Doubling w will depend on the specific oscillator. For instance, halving the length of a pendulum, or doubling the tension in a string.
