The velocity of the particle at position x 1 is v 1 and velocity of the particle at position x 2 is v 2. Therefore, x = A ln ω t does not represent SHM.Ĭonsider a particle undergoing simple harmonic motion. This differential equation is not like the differential equation of a SHM (equation 10.10). This differential equation is like the differential equation of SHM (equation 10.10). Therefore, x = A sin ωt + B cos 2 ωt does not represent SHM. Therefore, x = A sin ωt + B cos ωt represents SHM. This differential equation is similar to the differential equation of SHM (equation 10.10). Which of the following represent simple harmonic motion?