An elevator is suspended by a heavy steel cable. If this cable were replaced by two steel cables each having the same length as the original one but half its diameter, how would the amount of stretch in the pair of thin cables (st) compare with that of the original cable (so)

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A: (a)Write the expression for young’s modulus of the material.

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Q: 1. The rigid homogeneous concrete slab weighing 800 kN is supported by three (3) rods of identical…

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A: In this case, the tension exerted on both the wire is the same.

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Q: A heavy crate with weight 4900 N hangs from a thick nylon rope. The rope has a cross-sectional area…

A: Solution: Given that Weight W = 4900 N Area A = 1.4x10-4 m2 youngs modulus E =3.7x109 N/m2

Q: A 2.5 m length of aluminum cable is to be used in an attempt to pull a car out of a ditch. The…

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Q: Assume Young's modulus for bone is 1.50 x 1010 N/m2. The bone breaks if stress greater than a= 15086…

A: Given, Young's modulus = Stress =  Radius = 0.01 m

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Q: A 0.600-mm diameter wire stretches 0.500% of its length when it is stretched with a tension of 20.0…

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Q: A 30 kg mass is suspended from an aluminum wire of length 2.5 m and diameter of 1.5 mm. By how much…

A: Given data: The mass is m=30 kg The length of the wire is l=2.5 m The diameter is d=1.5 mm=0.001 m…

Q: A child slides across a floor in a pair of rubber-soled shoes. The friction force acting on each…

A: Shear modulus is the ratio of shear stress to the shear strain. Using the equation for shear…

Q: A 5.0 x 102 N object is hung from the end of a wire of cross-sectional area 1x10-6 cm². The wire…

A:

Q: A 2.00-m-long cylindrical steel wire with a cross-sectional diameter of 4.00 mm is placed over a…

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Q: A particular human hair has a Young's modulus of 3.65×109 N/m2 and a diameter of 155 μm. If a 259 g…

A: (a)Write the expression for young’s modulus of the material.

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A: mass= 85 Kg Length, L= 21 m radius, r= 4.8 mm ∆L= 3.2 cm

Q: A certain wire, 3 m long, stretches by 1.2 mm when under tension 200 N. A wire with twice the…

A: The length=3m  The diameter d=3m

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A: Given data: The stress in thread is σ=1×109 Pa. The diameter of thread is d=1.00 mm.

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A: Given The diameter of the fine fabric is df=0.020 mm=0.020×10-3 m. The mass of an object is m=20…

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A: The expression for spring force is F=kx k is the spring constant, x is the extension in the spring.…

Q: Assume Young's modulus for bone is 1.50 x 1010 N/m2. The bone breaks if stress greater than 0= 62780…

A: Young's modulus for the bone,  Breaking stress,  Effective radius of the bone,

Q: For safety in climbing, a mountaineer uses a nylon rope that is 65 m long and 1.5 cm in diameter.…

A: Given Length of nylon rope  L = 65 m Diameter of rope  d = 1.5 cm Mass of climber m = 86 kg…

Q: A 5.15-N beam of uniform density is 1.70

A: Use the concept of rotational equilibrium and trigonometric identities to find the angle made by the…

Q: A 5.0 x 102 N object is hung from the end of a wire of cross-sectional area 1x10-6 cm². The wire…

A:

Q: A cable is 100 m long and has a cross sectional area of 1 mm^2. A 1000 N force is applied to stretch…

A: The expression for find stretched length of the cable is Y=FA∆LL0∆L=FL0YA

Q: When a tension of 70 N is applied to a piano wire of length 1.8 m, it stretches by 2.0 mm. If the…

A: Given that a tension of 70 N is applied to a piano wire of length 1.8 m, it stretches by 2.0 mm. If…

Q: A certain wire stretches 0.70 cm when outward forces with magnitude F are applied to each end. The…

A: The expression of the elongation by using Young’s modulus is,

Q: A uniform brass plate with area of 18 x 18 m², has mass of 3 kg which is hold by three cables in the…

A: Given :- area = 18 * 18 m2 mass of brass plate = 3kg

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A:

Q: The femur bone in a human leg has a minimum effective cross section of 3.15 cm2. How much…

A: The pressure presently working on an object can be defined as the physical force that is being…

Q: In a skyscraper, an elevator is suspended from three equal, parallel 300-m-long steel cables, each…

A: Young's modulus of steel = 2 * 1011 N/m2Length of each cable = 300 m Diameter of each cable = 1 cm…

Q: A steel wire of diameter 4.72 mm stretches by 7.98 mm when a 320 -kg piece of equipment is suspended…

A: diameter of wire (d) = 4.72 mm Stretch in length (y) = 7.98 mm mass suspended (m) = 320 kg New…

Q: Assume Young's modulus for bone is 1.50 x 100 N/m². The bone breaks if stress greater than d= 40607…

A: Young modulus, Y=1.50× 1010 N/m2 Maximum stress, σ=40607 N/m2 Radius, r = 0.01 m

Mechanical Properties of Solids

There are three types of matter- solid, liquid and gas. Out of them, solids have a rigid shaped and size. The intermolecular forces of attractions in solids are greatest. Mechanical properties are the physical properties of a material which it shows, when it is provided with certain amount of force or load. These properties are to be kept in mind for various purposes. When a force is applied to an object, the object may or may not get deformed depending upon its elastic property. But every time the object develops a restoring force against the force applied. This is commonly known as stress. If the object changes its dimensions due to the force applied it develops strain ( which is the ratio of change in dimension to the original dimension).