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  4. The minimum time taken by a spring block system (having time period T) to travel a distance equal to amplitude of motion is equal to

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Q. The minimum time taken by a spring block system (having time period T) to travel a distance equal to amplitude of motion is equal to

NTA AbhyasNTA Abhyas 2022

Solution:

Velocity-time graph of a body executing S.H.M. is

Solution
So to cover a given distance in minimum time velocity should be greater. So it must be around mean position and minimum time taken to cover a distance $\frac{a}{2}$ is $\frac{T}{12}$
$\therefore T_{R e q u i r e d}=\frac{T}{6}$