simple harmonic motion
3 basic equations
![The diagram shows the relationship between the spring actions and the sine wave.](https://stage.geogebra.org/resource/Ez2puJ3f/eFevmBxrUtgjpvAp/material-Ez2puJ3f.png)
derivations of simple harmonic motion equations
free vibrations
The displacement of a body performing simple harmonic motion is described by the following equation, x = A sin (ωt + φ) where A is the amplitude, ω is the natural frequency and φ is the phase angle. Given A = 35 mm, ω= 50 rad/s and φ = π/8 radian, calculate the acceleration (in mm/s2) when t = T/4.