A cylinder of length L and cross section area A is partially submerged in a liquid. Find the minimum mass that should be attached below the cylinder so as to make the cylinder stable. Density of liquid is Dl and density of cylinder is Ds. (Dl>Ds)
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Answer:
F=−Vρg=−ρAxg −ve sign is because displacement and force are in opposite direction
Acceleration=a=
M
−rhoAxg
=
ρ
o
AL
−ρAg
x=−ω
2
x
ω=
ρ
o
L
ρg
Time period =T=
ω
2π
=2π
ρg
ρ
o
L
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