A particle moves on the X-ails according to the equation x = A + B sin ωt. The motion is simple harmonic with amplitude
As the amplitude is the maximum distance the particle can travel from its mean position).
∴ the mean position is when the time is . On putting in the equation, we get
And the maximum position is when the time is of T (time period). Therefore, will be maximum i.e. one, hence
Hence, the amplitude is