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Show Variation of Displacement, Velocity and Acceleration with Phase for a Particle Performing Linear S.H.M. Graphically, When It Starts from Extreme Position.

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Question

Show variation of displacement, velocity, and acceleration with phase for a particle performing linear S.H.M. graphically, when it starts from the extreme position.

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Solution

In the equation of S.H.M,
x = A sin (ωt + α)
where, (ωt + α) is the phase or phase angle of S.H.M 
For a particle starting from extreme position:
Displacement time graph:

Graph:

Velocity-time graph:

Graph:

Acceleration-time graph:

Graph:

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2013-2014 (October)

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