A simple harmonic oscillator has an amplitude A and time period T. The time required by it to travel from x=A to x=a/2 is
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Equation for displacement of SHM:x = A sin ωt
Case I: (x=A)A = A sin ωt1=sin ωtωt =π22πTt =π2t=T4
Case II: (x=A2)A2= A sin ωt12=sin ωtωt =π62πTt =π6t=T12Time taken to reach from A to A2:∆t=T4−T12 =T6
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