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simple harmonic motion

3 basic equations

The diagram shows the relationship between the spring actions and the sine wave.
The diagram shows the relationship between the spring actions and the sine wave.

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.