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Define amplitude of SHM and draw two di...

Define amplitude of SHM and draw two different SHM in one figure having for two different amplitudes.

Text Solution

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Amplitude : The magnitude of maximum displacement of the particle executing SHM.
OR
The maximum displacement of oscillator on either side of mean position is called amplitude of the SHO.
The sign of amplitude is ..A.. or ..a.. and its SI unit is m. Dimensional formula is `[M^(0)L^(1)T^(0)]`.
The displacement of SHM particle changes between two extreme points +A and -A.
The plot of displacement as a function of time with `phi= 0` for different amplitudes are shown in below figure.

From `x(t)= A cos omega t" and "x(t)= B cos omega t`, from `t=0, (T)/(4), (T)/(2), (3T)/(4), T, (5T)/(4), (3T)/(2), (7T)/(4),"........"` obtained displacement with the curve 1 and 2 having amplitudes A and B respectively.
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