Fluid MechanicsHard
Question
If in the above problem the sphere is slightly displaced vertically from its equilibrium position, the time period of the resulting SHM is
Options
A.
B.
C.
D.
Solution
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
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 = 2πCreate a free account to view solution
View Solution FreeMore Fluid Mechanics Questions
A soap bubble of radius R and surface tension T is formed in vacuum. It is slowly charged so that it slowly expands. It ...An incompressible fluid flows steadily through a cylindrical pipe which has radius 2 R at point A and radius R at point ...Water is filled up to a height h in a beaker of radius R as shown in the figure. The density of water is ρ, the sur...A pressure P-absolute temperature T diagram was obtained when a given mass of gas was heated. During the heating process...Which one of the following substances possesses the highest elasticity :...