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Define volume stress?

Important Questions on Mechanical Properties of Solids

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The speed of the water in a river is V near the surface. If the coefficient of viscosity of water is η and the depth of the river is H, then the shearing stress between the horizontal layers of water is
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A lift is tied with thick iron ropes having mass M. The maximum acceleration of the lift is ‘a m s-2 and maximum safe stress is S N m-2. The minimum diameter of the rope is
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A wire of length 1 m and radius 2 mm is vertically clamped. The lower end is twisted through an angle of 45°. The angle of shear is _____
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If a tensile force is suddenly removed from a wire then its temperature will
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A man grows into a giant such that his linear dimensions increase by a factor of 9. Assuming that his density remains same, the stress in the leg will change by a factor of:
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Two wires A and B are stretched by the same load. If the area of cross-section of wire 'A' is double that of  'B', then the stress on 'B' is
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A and B are two wires. The radius of A is twice that of B. They are stretched by the same load. Then the stress on B is
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Wires W1 and W2 are made of same material having the breaking stress of 1.25×109 N m-2. W1 and W2 have cross-sectional area of 8×10-7 m2 and 4×10-7 m2, respectively. Masses of 20 kg and 10 kg hang from them as shown in the figure. The maximum mass that can be placed in the pan without breaking the wires is _____kg (Use g=10 m s-2

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An elevator of mass m  is connected to a rope which pulls the elevator up with a maximum acceleration equal to a . If the maximum bearable tension in the rope is T , then for a safe journey the minimum diameter of the rope is [ g = acceleration due to gravity]
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A body of mass m=10 kg is attached to one end of a wire of length 0.3 m. What is the maximum angular speed (in rad s-1) with which it can be rotated about its other end in a space station without breaking the wire?
[Breaking stress of wire σ=4.8×107 N m-2 and area of cross-section of the wire=10-2 cm2]
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The two blocks P and Q are connected by a metal wire with breaking stress 109 N m-2 through a frictionless pulley. The minimum radius of the wire for it not to break is (consider g=10 m s-2)

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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)
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Two blocks of masses 3 kg and 5 kg are connected by a metal wire going over a smooth pulley. The breaking stress of the metal is 24π×102 N m-2. What is the minimum radius of the wire ?
( take g=10 m s-2

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A string of a material of length 1 m, cross-sectional area 0.2 cm2 requires 2000 N to extend it by 1 mm. The same material is used to manufacture the legs of a robot of 50 cm length and of cross-sectional area 0.5 cm2 each. The mass of the robot is 50 kg. When it jumps from a building of height h, it experiences a strain 0.05. The maximum height through which the robot can jump without breaking its legs is g=10 m s-2
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A square aluminium (shear modulus is 25×109Nm-2) slab of side 60 cm and thickness 15 cm is subjected to a shearing force (on its narrow face) of 18.0×104 N. The lower edge is riveted to the floor. The displacement of the upper edge is _____ μm.
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One end of a uniform bar of weight W1 is suspended from the roof and a weight W2 is suspended from the other end. The area of cross-section is A. What is the stress at the midpoint ?
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In an experiment, brass and steel wires of length 1 m each with areas of cross section 1 mm2 are used. The wires are connected in series and one end of the combined wire is connected to a rigid support and other end is subjected to elongation. The stress required to produce a net elongation of 0.2 mm is,
[Given, the Young's Modulus for steel and brass are, respectively, 120×109 N/m2 and 60×109 N/m2 ]
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A particle of mass 1 kg is moving in SHM with a path length of 0.01 m and frequency of 50 Hz. The maximum force in newton, acting on the particle is
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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?