The displacement of a particle varies

Question:

The displacement of a particle varies with time according to the relation y = a sin ωt + b cos ωt

(a) the motion is oscillatory but not SHM

(b) the motion is SHM with amplitude a + b

(c) the motion is SHM with amplitude a2 + b2

(d) the motion is SHM with amplitude √a2 + b2

Solution:

The correct answer is (d) the motion is SHM with amplitude √a2 + b2

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