EASY
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Strain is a unitless quantity.

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Important Questions on Mechanical Properties of Solids

EASY
A uniform metallic wire is elongated by 0.04 m when subjected to a linear force F. The elongation, if its length and diameter is doubled and subjected to the same force will be _________ cm.
MEDIUM
A rubber (eraser) 3cm×1cm×8cm is clamped at one end with 8cm edge vertical. A horizontal force of 2.4N is applied at the free end (the top face). If the shear modulus of the rubber is 1.6×105Nm2, then the horizontal displacement of the top face will be
EASY
The length of metallic wire is l1 when tension in it is T1. It is l2 when the tension is T2. The original length of the wire will be :
HARD

A mild steel wire of length 2 L and cross-sectional area A is stretched, well with in the elastic limit, horizontally between two pillars as shown in figure. A mass m is suspended from the mid-point of the wire. Strain in the wire is

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EASY
A cube of metal is subjected to a hydrostatic pressure 4 GPa. The percentage change in the length of the side of the cube is close to : (Given bulk modulus of metal, B=8×1010 Pa)
MEDIUM
The length of a metal wire is l1 when the tension in it is T1 and is l2 when the tension is T2. The natural length of the wire is,
EASY
A steel wire having a radius of 2.0 mm , carrying a load of 4 kg, is hanging from a ceiling. Given that g=3.1π s-2, what will be the tensile stress that would be developed in the wire?
MEDIUM
Two blocks of masses 1 kg and 2 kg are connected by a metal wire going over a smooth pulley as shown in figure. The breaking stress of the metal is 2×109 Nm-2. What should be the minimum radius of the wire used if it is not to break? Take g=10 ms-2 stress = force/Area
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EASY
50 kg girl wearing high heel shoes balances on a single heel. The heel is circular with a diameter of 1.0 cm. What is the pressure exerted on the horizontal floor?
EASY
A steel rod of length 4 m is placed on a smooth horizontal plane. If it is heated from 0oC to 1000oC, what is the longitudinal strain developed in it?  α steel = 1.2 × 1 0 - 5 / C .
EASY
When equal forces are applied at different points of objects of the same material but of different shapes, the same strain is not produced because
MEDIUM
Anvils made of single crystals of diamond, with the shape as shown in figure, are used to investigate the behaviour of materials under very high pressures. Flat faces at the narrow end of the anvil have a diameter of 0.5 mm and the wide ends are subjected to a compressional force of 50000 N. What is the pressure at the tip of the anvil?

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EASY

A block of mass kg is suspended from the ceiling with steel wire of radius mm and negligible mass. Find stress in the wire (Given g=π2)
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EASY
Name one non-dimensional variable.
(Choose from: Stress/Strain/Gravitational constant/Plank's constant)
EASY

A rod is made of uniform material and has non-uniform cross section. It is fixed at both the ends as shown and heated at mid-section. Which of the following statements are not correct ?
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EASY
The following four wires of the same material, which of these will have the largest extension when the same tension is applied -
EASY
One of the square faces of a metal slab of side 50 cm and thickness 20 cm is rigidly fixed on a horizontal surface. If a tangential force of 30 N is applied to the top face and it is known that the shear modulus of the material is 4×1010 N/m2, then the displacement (in m) of the top face is
EASY
The length of a metal wire is l1 when the tension in it is F1 and l2 when the tension is F2 . Then original length of the wire is