Question

Which of the following is not simple harmonic function ?

(a) y = a sin 2ωt + b cos² ωt

(b) y = a sin ωt + b cos 2ωt

(c) y = 1 - 2 sin² ωt

(d) y = √(a² + b²) sin ωt cos ωt

Answer 1

Correct option (b) y = a sin ωt + b cos 2ωt

Explanation :

As in (b) two parts of the function has different frequencies their addition will lead to periodic motion Lissajous figures but not simple harmonic motion.