Question

The function

x = A sin² ωt + B cos² ωt + C sin ωt cos ωt represents SHM

(a) for every value of A, B and C (except C = 0)

(b) if A = – B, C = 2B, amplitude

(c) if A = B, C = 0

(d) if A = B, C = 2B, amplitude  

Answer 1

When A = B and C = 0, the motion is not simple harmonic. The motion is simple harmonic for any value of A, B and C (except C = 0). If

which is SHM with amplitude