# DOC 57 .pdf - PHYSICS 203 initial displacement to be the...

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193PHYSICS 203d xinitial displacement to be the sum of the earlier displacements, viz.,a1a2,then according tothe superposition principle,, the displacementx3x1x2x3after the same interval of timetwill beYou can perform this activity by taking three identical simple pendulums. Release all three bobssimultaneously such that their initial velocities are zero and initial displacements of the first,second and the third pendulum area1,a2anda1a2, respectively. You will find that at anytime the displacementx3of the third pendulum will be the algebraic sum of the displacements ofthe other two. In general, the initial velocities may be non-zero. Thus, the principle ofsuperposition can be stated as follows:Superposition of Simple Harmonic OscillationsWhen we superpose the initial conditions corresponding to velocities and amplitudes, theresultant displacement of two (or more) harmonic displacements will be simply the algebraic sum
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