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A hemispherical portion of radius R is r...

A hemispherical portion of radius R is removed from the bottom of a cylinder of radius R. The volume of the remaining cylinder is V and its mass M. It is suspended by a string in a liquid of density `rho` where it stays vertical. The upper surface of the cylinder is at a depth h below the liquid surface. The force on the bottom of the cylinder by the liquid is

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SL ARORA-Mechanical Properties of fluids-Exercise
  1. A hemispherical portion of radius R is removed from the bottom of a cy...

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  2. Find the pressure exerted at the tip of a drawing pin if it is pushed ...

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  3. Atmospheric pressure is nearly 100 kPa. How large the force does the a...

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  4. The force on a Phonograph needle is 1.2 N. the point has a circular cr...

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  5. A cylinderical vessel contaning liquid is closed by a smooth piston of...

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  6. The area of the smaller piston of a hydraulic press is 1cm^2 and that ...

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  7. The average mass that must be lifted by a hydraulic press is 80 "kg".I...

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  8. In a hydraulic press used for compressing cotton the area of the pisto...

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  9. An automobile sack is lifted by a hydraulic jack that consists of two ...

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  10. How much will a body of 70 N weight in water if it displaces 20 ml of...

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  11. A solid weighs 6 kg in air. If its density is 2000 "kg" m^(3) what wil...

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  12. A solid weighs 10 N in air. Its weight decreases by 2 N when weighed i...

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  13. A copper cube of mass 0.50kg is weighed in water. The mass comes out t...

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  14. A solid floats in water with 3//4 of its volume below the surface of w...

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  15. A piece of wood of relative density 0.25floats in a pail containing oi...

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  16. A boat having a length of 3 m and breadth of 2 m is floating on a lake...

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  17. When a body of mass 240 kg is placed on a ice berg floating in sea wat...

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  18. A cubical block of wood 10 cm on a side floats at the interface betwee...

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  19. A Piece of brass (alloy of zinc and copper) weighs 12.9 g in air. When...

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  20. A piece of iron floats in mercury. Given that the density of iron is 7...

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  21. A metal cube of 5cm side and relative density 9 is suspended by thread...

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