The motion of a particle varies with time according to the relation y=asinωt+acosωt, then

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

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

The motion is S.H.M. with amplitude a2

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

answer is C.

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Detailed Solution

resultant of two amplitudes of simple harmonic motion is , R=a2+b2+2abcosϕ here a, b are amplitudes , ∅ is phase difference between two given waves The given equation can be written as y=asinωt+asinωt+π2 Here ϕ=π2 R=a2+a2+2aacosπ2 R=a2+a2=a2

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