EASY
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 The ability of a material to undergo plastic deformation without rupture, when a compressive force is applied, is known as 

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Important Questions on Mechanical Properties of Solids

EASY
A crane with a steel cable of length 11 m and radius 2.0 cm is employed to lift a block of concrete of mass 40 tons in a building site. If the Young's Modulus of steel is 2.0×1011 Pa, what will be roughly the increase in the length of the cable while lifting the block? (Take g=10 m s-2 )
MEDIUM
A copper wire of cross-sectional area 0.01 cm2 is under a tension of 22 N. Find the percentage change in the cross-sectional area (Young's modulus of copper =1.1×1011 N m-2 and Poisson ratio =0.32 )
MEDIUM
The ratio of the length of two wires a and b of same materials is 1: 3 and the ratio of their diameters is 3: 1 . They are stretched by the same force then the ratio of increases in length will be
MEDIUM
The elastic limit of brass is 379 MPa. The minimum diameter of a brass rod if it is to support a 400 N load without exceeding its elastic limit will be
EASY
A fixed volume of iron is drawn into a wire of length L. The extension x produced in the wire by a constant force F is proportional to _____.
EASY
The dimensions of four wires of the same material are given below. In which wire the increase in length will be maximum when the same tension is applied?
EASY
A steel rod has radius 50 mm and length 2 m. It is stretched along its length with a force of 400 kN. This causes an elongation of 0.5 mm. Find the (approximate) Young's modulus of steel from this information.
HARD
In plotting stress versus strain curves for two materials P and Q , a student by mistake puts strain on the y -axis and stress on the x - axis as shown in the figure. Then the correct statement(s) is(are)

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EASY
Which one of the following is most elastic in nature?
MEDIUM
Two wires of the same material and length but cross sectional area in the ratio 1:2 are used to suspend the same loads. The extension in them will be in the ratio
EASY
A wire of diameter 1 mm breaks under a tension of 1000 N. Another wire of the same material as that of the first one, but of diameter 2 mm breaks under a tension of:
HARD
A steel wire is suspended vertically from a rigid support. When the wire is loaded with a weight in air, it is extended by xa. When the weight is completely inside the water, the extension becomes xw. The relative density of the material of the weight is,
EASY
Breaking stress of a steel wire is p and the density of steel is ρ. The greatest length of steel wire that can hang vertically without breaking is
EASY

The stress-strain curves for brass, steel and rubber are shown in the figure. The lines A, B and C are for

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MEDIUM
The breaking strength of a rod of diameter 2 cm is 2×105N . Then that for rod of same material but diameter 4 cm will be
EASY

The diagram shows stress vs. strain curve for the material A and B. From the curves we infer that

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MEDIUM
The stress versus strain graphs for wires of two materials A and B as shown is the figure. If YA and YB are the young's modulus of the materials, then-

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EASY
Which of the following statement related to stress-strain relation is correct?
EASY
Figure show the strain-stress curve for a given material. The young’s modulus of the material is
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EASY

Determine the region where Hooke’s law is obeyed, the ultimate strength point and fracture point in the given stress-strain graph.

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