The displacement of a particle varies with time as x=12sinωt−16sin3ωt (in cm). If its motion is S.H.M., then its maximum acceleration is
12 ω2
36 ω2
144 ω2
192 ω2
x=12sinω t−16 sin3ω t=4[3sinω t−4sin3ω t] =4[sin3ω t] (By using sin3θ=3sinθ−4sin3θ)∴ maximum acceleration Amax=(3ω)2×4=36ω2