Question

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

(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 a/b

Answer 1

Correct option (a) simple harmonic with amplitude √(a2+b2)

Explanation:

Hence, resultant motion is SHM with amplitude√(a2+b2)