A particle move in S.H.M. such that its acceleration is a = − px , where ' x ' is the displacement of particle from equilibrium position and ' p ' is a constant. The period of osci

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A particle move in S.H.M. such that its acceleration is a = − px , where ' x ' is the displacement of particle from equilibrium position and ' p ' is a constant. The period of oscillation is

TestHub · Accepted Answer

For SHM the acceleration a is proportional to the displacement x and it is directed towards the mean position of the particle: a = − ω 2 x = − px where, ω is the angular frequency of the SHM. On comparison, ω = p ​ Thus, the period of oscillation can be written as, T = ω 2 π ​ = p ​ 2 π ​

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