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cylindrical vessel of density d, height H ,cross section area A is floating a liquid of density 2d and cross section area 2A at equilibrium with its axis vertical . if the cylindrical vessel is pushed down by a small distance x and released what is its initial acceleration

cylindrical vessel of density d, height H ,cross section area A is floating a liquid of density 2d and cross section area 2A at equilibrium with its axis vertical . if the cylindrical vessel is pushed down by a small distance x and released what is its initial acceleration

Grade:12th pass

3 Answers

Chandan
121 Points
6 years ago
please send the photo
if the vessel is completely submerged:
acc=0
if it is half submerged:
we need the distance ,how much it has been pushed
Raghav Mishra
21 Points
6 years ago
Chandan, we can calculate that it is half submerged(H/2 is in the liquid) and it has now been pushed by a distance x . and we have to calculate its initial acc.
(ans. is 4gx/H where g is gravitational acc) but mine comes out to be 2gx/H ????
Milind
18 Points
6 years ago
Draw the free body diagram of it 
You ge the eqtion
2*d*h*A*g-d*h*A*g=d*h*A*accelation
g=ac elation  
Hence acceleration of the cylinder is 10 m/s

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