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Q.

When two displacements represented by y1=asin(ωt) and y2=b cos(ωt) are superimposed the motion is

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a

simple harmonic with amplitude a2+b2

b

simple harmonic with amplitude (a+b)2

c

not a simple harmonic

d

simple harmonic with amplitude ab

answer is A.

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Detailed Solution

Here, y1=asinωty2=bcosωt=bsinωt+π2 Hence, resultant motion is SHM with amplitude a2+b2
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