Q10) A cylinder made up of wood (s=0.6)
of diameter D and the length 2D is
suspended in water with its axis vertical.
State the condition of equilibrium
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Explanation:
For neutral equilibrium, GM = 0 (M coinciding with G)
Hence,
\frac { L }{ D } \quad =\quad \frac { 1 }{ \sqrt { 8S\left( 1\quad -\quad S \right) } }DL=8S(1−S)1
Given specific gravity = 0.6
\frac { L }{ D } \quad =\quad \frac { 1 }{ \sqrt { 8\quad \times \quad 0.6\quad \left( 1\quad -\quad 0.6 \right) } }DL=8×0.6(1−0.6)1
=\quad \frac { 1 }{ \sqrt { 8\quad \times \quad 0.6\quad \times \quad 0.4 } }=8×0.6×0.41
\frac { L }{ D } \quad =\quad \frac { 1 }{ 8\sqrt { 0.03 } }DL=80.03
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