Q.1
A solid cylinder of diameter 5.0 m has a height of 6.0 m. Find the meta-centric height of the cylinder if the specific gravity of the material of cylinder 0.and it is floating in water with its axis vertical. State whether the equilibrium is stable or unstable.
  • a) -0.29 m
  • b) -0.61 m
  • c) -1.16 m
  • d) 0.14 m
Q.2
A solid cylinder ofcm diameter andcm long, consists of two parts made of different materials. The first part at the base is 1.5 cm long and of specific gravity=6.The other part of the cylinder is made of the material having specific gravity 0.State, if the it can float vertically in water.
  • a) It will float
  • b) It will not float
  • c) Data insufficient
  • d) None of the mentioned
Q.3
A wooden cylinder of sp.gr. = 0.6 and circular in cross-section is required to float in oil(sp.gr. = 0.90). Find the L/D ratio for the cylinder to float with its longitudinal axis vertical in oil, where L is the height of cylinder and D is its diameter.
  • a) L/D<9/16
  • b) L/D<3/4
  • c) L/D<2/3
  • d) None of the mentioned
Q.4
A cylinder(uniform density distribution) of radius 3.0 m has a height of 9.0 m. The specific gravity of the material of cylinder 0.and it is floating in water with its axis vertical. State whether the equilibrium is stable or unstable.
  • a) Stable
  • b) Unstable
  • c) Insufficient Data
  • d) None of the mentioned
Q.5
If the magnitude of dimension of a rectangular wooden block is length>breadth>height, then for it to float on the water, it should be immersed in what manner?
  • a) It should be immersed vertically such that length is partially immersed
  • b) It should be immersed horizontally such that breadth is partially immersed
  • c) It should be immersed such that height is partially immersed
  • d) None of the mentioned
Q.6
When body is completely or partially immersed in a fluid, how much its weight be distributed for it to be in stable equilibrium.
  • a) Around the lower part
  • b) Around the upper part
  • c) Is independent of weight distribution
  • d) None of the mentioned
Q.7
In unstable equilibrium what is the relation between forces?
  • a) Buoyancy force= Weight of body
  • b) Buoyancy force > Weight of body
  • c) Buoyancy force < Weight of body
  • d) None of the mentioned
Q.8
The floating body is said to be in unstable equilibrium if the metacentre is below the centre of gravity.
  • a) True
  • b) False
Q.9
The floating body is said to be in neutraL equilibrium if the metacentre is above the centre of gravity.
  • a) True
  • b) False
Q.10
In stable equilibrium for completely submerged bodies what is the relation between forces?
  • a) Buoyancy force= Weight of body,the centre of buoyancy is below the centre of gravity.
  • b) Buoyancy force=Weight of body, the centre of buoyancy is above the centre of gravity.
  • c) Buoyancy force < Weight of body
  • d) None of the mentioned
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