The ratio of velocities of particle in SHM at displacements A/3 and 2A/3 is - Physics -

Question

The ratio of velocities of particle in SHM at displacements A/3 and
2A/3 is

Anshu Agrawal · Accepted Answer

Dear student,
    Velocity of a particle executing S
H M
 is given by   v=ωA2-x2        ω =2πT Here x = A/3 and 2A/3when displacement is A/3v=2πTA2-(A3)2v=2πTA83when displacement is 2A/3v'=2πTA2-(2A3)2v'=2πTA53so vv'=85

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