If in the above problem the sphere is slightly displaced vertically from its equilibrium position, t

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If in the above problem the sphere is slightly displaced vertically from its equilibrium position, the time period of the resulting SHM is

Accepted Answer

If sphere is displaced by x(say in upward direction) from is equilibrium position)
then increase in weight = λxg
increase in buoyant force =
⇒ net extra force = (lxg − ) in down ward direction
⇒ (m + λ h) a =
Hence the motion is S.H.M & T = 2π
Putting h = ; T = 2π

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