When two displacements represented by y_1 = a ( t) and y_2 = b ( t) are superimposed the motion is :

NEET 2015 Physics question

When two displacements represented by and are superimposed the motion is :

(1)simple harmonic with amplitude
(2)simple harmonic with amplitude Correct
(3)simple harmonic with amplitude
(4)not a simple harmonic

Answer: (2)

Solution

Write . Both displacements are along the same line with the same angular frequency , so their sum is again a simple harmonic motion of the same frequency. The phase difference is . Resultant amplitude \sqrta^2$ +

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Question ID VK-091792