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The Young's modulus for steel is much mo...

The Young's modulus for steel is much more than that for rubber. For the same longitudinal strain, which one will have greater tensile stress ?

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NO, stress is a scalar quantitiy. Really it is a scalar quantity.
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Which is more elastic ? Rubber or steel?

The Young's modulus of steel is twice that of brass. Two wires of same length and of same area of cross section, one of steel and another of brass are suspended from the same roof. If we want the lower ends of the wires to be at the same level, then the weights added to the steel and brass wires must be in the ratio of:

For a given load (external force) steel is more deformed than rubber.

In nature the failure of structural members usually result from large torque because of twisting or bending rather than due to tensile or compressive strains. This process of structural breakdown is called buckling and in cases of tall cylindrical structures like trees, the torque is caused by its own weight bending the structure. Thus, the vertical through the centre of gravity does not fall within the base. The elastic torque caused because of this bending about the central axis of the tree is given by (Ypi r ^(2))/(4R) Y is the Young's modulus, r is the radius 4R of the trunk and R is the radius of curvature of the bent surface along the height of the tree containing the centre of gravity (the neutral surface). Estimate the critical height of a tree for a given radius of the trunk.

A metal rod of Young's modulus 2 xx 10 ^(10) Nm ^(-2), undergoes longitudinal strain of 1%, the potential energy per unit volume stored in rod is ....... Jm^(-3).

The hysteresis loop of a soft iron piece has a much smaller area than that of a carbon steel plece. If the material is to go through repeated cycles of magnetisation, which piece will dissipate greater heat energy?

Two identical solid balls, one of ivory and the other of wet-clay are dropped from the same height on the floor. Which one will rise to a greater height after striking the floor and why?

(a) A steel wire of mass u per unit length with a circular cross section has a radius of 0.1 cm. The wire is of length 10 m when measured lying horizontal and hangs from a hook on the wall. A mass of 25 kg is hung from the free end of the wire. Assuming the wire to be uniform an lateral strains lt lt longitudinal strains find the extension in the length of the wire. The density of steel is 7860 kgm ^(-3) and Young's modulus =2 xx 10 ^(11) Nm ^(-2) (b) If the yield strength of steel is 2.5 xx 10 ^(8) Nm ^(-2), what is the maximum weight that can be hung at the lower end of the wire ?

Two wires of diameter 0.25 cm , one made of steel and other made of brass, are loaded as shown in the figure. The unloaded length of the steel wire is 1.5 m and that of brass is 1.0 m . Young's modulus of steel is 2.0 xx 10^(11) Pa and that of brass is 1.0 xx 10^(11) Pa. Compute the ratio of elongations of steel and brass wires. (/_\l_("steel"))/(/_\l_("brass"))=?

KUMAR PRAKASHAN-MACHANICAL PROPERTIES OF SOLIDS -SECTION-D
  1. A wire is suspended from the ceiling and stretched under the action of...

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  2. A rod of length 1 and negligible mass is suspended at its two ends by ...

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  3. For an ideal liquid

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  4. A copper and a steel wire of the same diameter are connected end to en...

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  5. The Young's modulus for steel is much more than that for rubber. For t...

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  6. The Young's modulus for steel is much more than that for rubber. For t...

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  7. Identical springs of steel and copper are equally stretched. On which ...

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  8. What is the Young's modulus for a perfect rigid body?

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  9. What is the bulk modulus of a perfectly rigid body?

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  10. A wire of length L and radius r is clamped rigidly at one end. When th...

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  11. A steel rod of length 1 m and area of cross section 1 cm^(2) is heated...

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  12. To what depth must a rubber ball be taken in deep sea so that its volu...

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  13. A truck is pulling a car out of a ditch by means of a steel cable that...

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  14. Two identical solid balls, one of ivory and the other of wet-clay are ...

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  15. Consider a long steel bar under a tensile stress due to force F acting...

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  16. (a) A steel wire of mass u per unit length with a circular cross secti...

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  17. A steel uniform rod of length 2L cross sectional area A and mass Mis s...

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  18. An equilateral triangle ABC is formed by two copper rods AB and BC and...

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  19. In nature the failure of structural members usually result from large ...

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  20. A stone is tied to an elastic string of negligible mass and spring con...

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