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Q.

The motion of a particle varies with time according to the relation  y=2sinωt+2cosωt, then

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a

The motion is oscillatory but not S.H.M.

b

The motion is S.H.M. with amplitude  2

c

The motion is S.H.M. with amplitude 2

d

The motion is S.H.M. with amplitude 4

answer is C.

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Detailed Solution

resultant amplitude of super position of two simple harmonic motions is R=a2+b2+2abcosϕ here a,b are amplitudes of two waves, ∅ is phase difference between themThe given equation can be written as  y=2sinωt+2sinωt+π2Here  ϕ=π2R=(2)2+(2)2+222cosπ2 R=2 unit
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