Consider an undamped spring-mass system with external sinusoidal forcing:

Suppose further that the mass is initially at rest at it's equilibrium position:

The natural frequency of the system is ω_o = (k/m)^1/2 and the forcing frequency is ω. We assume on this page that the natural frequency of the system and the forcing frequency are equal and examine the resulting response. Submit real values for the mass, m, the spring constant, k, and the forcing amplitude, F_o. The solution is plotted on the interval [0, T], where the final time value, T, is input by the user.

m =
k =
Fo =
T =