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