The displacement of a particle is represented by the equation y = 3 cos(π/4 – 2ωt). The motion of the particle is a) simple harmonic with period 2p/w b) simple harmonic with period π/ω c) periodic but not simple harmonic d) non-periodic
Correct option is B) Given: y=3cos[4π−2ωt] y=3cos[−[2ωt−4π]]=3cos[2ωt−4π] It represents simple harmonic motion with time period. T=2ω2π=ωπ.