A certain oscillator satisfies the equation of motion: π₯β’β’+ 4x = 0. Initially the particle is at
the point x = β3 when it is projected towards the origin with speed 2.
2.1. Show that the position, x, of the particle at any given time, t, is given by:
x = β3 cos 2t β sin 2t. (Note: the general solution of the equation of motion is given by: x
= A Cos 2t + B Sin 2t, where A and B are arbitrary constants)
Thus,
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