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A hollow shaft is found to be stronger t...

A hollow shaft is found to be stronger than a solid shaft made of same equal material.

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Assertion : A hollow shaft is found to be stronger than a solid shaft made of same material. Reason : The torque required to produce a given twist in hollow cylinder is greater than that required to twist a solid cylinder of same size and material.

A hollow sphere and a solid sphere of equal radii and of same material are heated to raise their temperature by equal amounts. How will the change in their volume expansion be related?

Two spheres, one solid and other hollow are kept in atmosphere at same temperature. They are made of same material and their radii are also same. Which sphere will cool at a faster rate initially?

We have a hollow sphere and a solid sphere equal radii and of the same material. They are heated to raise their temperature be equal amounts. How will the cange in their volumes, due to volume expansions, be related? Consider two cases (i) hollow sphere is filled with air, (ii) there is vaccum inside the hollow sphere.

There are two electric poles, one is with hollow structure and other with a solid structure. They are made from the same and equal amount of material. Which electric pole do you perfer? Why.

Two rods, one hollow and the other solid, made of the same material have the same length of 20 cm and radius of 2 cm. When their temperature is increased through the same amount of 50^(@)C , their expansion ratio Eh : Es will be :

A solid sphere of radius R is placed on a cube of side 2R. Both are made of same material. Find the distance of their centre of mass fro the interface.

SL ARORA-Mechanical Properties of Solids-Example
  1. A hollow shaft is found to be stronger than a solid shaft made of same...

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  2. The length of a suspended loire increases by 10^-4 of its original len...

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  3. A uniform wire of steel of length 2.5m and density 8.0gcm^(-3) weighs ...

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  4. A structural steel rod has a radius of 10 mm and a length of 1.0 m. A ...

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  5. A structural steel rod has a radius of 10 mm and a length of 1.0 m. A ...

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  6. A structural steel rod has a radius of 10 mm and a length of 1.0 m. A ...

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  7. What is the percentage increase in length of a wire of diameter 2.5 mm...

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  8. The breaking stress for a metal is 7.8 xx 10^9 Nm^-2. Calculate the ma...

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  9. A rubber string 10m long is suspended from a rigid support at its one ...

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  10. A silica glass rod has a diameter of1cmand is 10 cmlong. The ultimate ...

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  11. A composite wire of uniform diameter 3.0 mm consisting of a copper wir...

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  12. The maximum stress that can be applied to the material of a wire used ...

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  13. A mass of 100 grams is attached to the end of a rubber string 49 cm. l...

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  14. A uniform heavy rod of weight W, cross sectional area a and length L i...

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  15. A steel wire of uniform cross-section 1 mm^(2) is heated to 70^(@)C an...

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  16. The presssure of a medium is changed from 1.01xx10^(5) Pa to 1.165xx...

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  17. The average depth of indian Ocean is about 3000 m. The fractional comp...

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  18. A sphere contracts in volume by 0.01% when taken to the bottom of sea ...

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  19. If the normal density of sea water is 1.00 g//cm^(3), what will be its...

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  20. A cube is subjected to pressure of 5 xx 10^(5)N//m^(2). Each side of t...

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  21. Calculate the presure required to stop the increases in volume of a co...

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