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Intheory, the period is independent of an amplitude.This is not intuitive,because it might seem that it...

Intheory, the period is independent of an amplitude.This is not intuitive,because it might seem that it would
take the mass a longer time to travel through a further distance (i.e. a larger amplitude). But the mass experiences a higher spring force (and thus a larger acceleration) when it is further away from the equilibrium position, which compensates for the larger distance. Is the period independent of amplitude?
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Answer #1

Yes, it is , period of spring- mass system depends on mass and spring constant of spring only and independent of amplitude. When amplitude is increased so does acceleration which compensate for larger distance while keeping time period constant.

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