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A certain oscillator satisfies the equation of motion: * + 4x = 0. Initially the particle is at the point x = v3 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- V3 cos 2t- 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)

A certain oscillator satisfies the equation of motion: * + 4x = 0. Initially the particle is at the point x = v3 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- V3 cos 2t- 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)

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A certain oscillator satisfies the equation of motion: ä + 4x = 0. Initially the particle is at the point x = V3 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 = V3 cos 2t – 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)
Transcribed Image Text:A certain oscillator satisfies the equation of motion: ä + 4x = 0. Initially the particle is at the point x = V3 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 = V3 cos 2t – 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)
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