Which function of time represents an SHM with period π/ω?

Question

G1 Physics · Accepted Answer

Required period is π/ω, so the angular frequency must be 2ω. Option 4 is a single cosine term of the form 3cos(π/4−2ωt), which is SHM with angular frequency 2ω. The other choices have period 2π/ω or contain multiple frequencies. Correct option: 4.