The ultimate strength of a metallic wire for tension is 2.0 x10^8 Pa. The wire was set up with a vertical mounting and a 200 kg load is hang from its lower end. The diameter of the wire is 0.50 cm. What would be the outcome of this set up?

Q: A horizontal aluminum rod 5.0 cm in diameter projects 4.8 cm from a wall. A 1400 kg object is…

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Q: One end of a steel rod of radius R = 10mm and length L = 90 cm is held in a vise. A force of…

A: solution as .

Q: We have a rod made of a certain metal. The rod’s length is L = 1.2 m and has a circular cross…

A: Given L = 1.2 m r = 3.2 mm m = 22 kg d = 2.5 mm we have to find out  Young’s modulus for this metal.

Q: A metal wire of diameter D stretches by 0.100 mm when supporting a weight W. If the same-length wire…

A: Given: Initial diameter of metal wire, D1=D Weight supported to metal wire initially, W1=W The…

Q: A steel cube of side length L = 0.5 m is subjected to a shearing force of 5000N along the top…

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Q: The largest tendon in the body, the Achilles tendon, connects the calf muscle to the heel bone of…

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Q: "One end of a steel rod of radius R = 10mm and length L = 80 cm is held in a vise. A force of…

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Q: A man with a mass of 71.6 kg stands on one foot. His femur has a cross-sectional arca of 8.00 cm2…

A: Given : Mass of man = 71.6 kg Cross-sectional area of femur = 8.00 cm2= 8.00*10-4 m2 Uncompressed…

Q: A 4.0 m steel beam with a cross sectional area of 1.0 x 10-2 m² and a Young's modulus of 2.0 x 1011…

A: Given:-  The length of the steel beam L = 4 m  The cross-sectional area of the beam is A = 1.0 x…

Q: How large a force is necessary to stretch a 2.0-mm-diameter steel wire (Y = 2.0 x 1011 N/m2) by…

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Q: A horizontal aluminum rod 4.7 cm in diameter projects4.4 cm from a wall. A 1100 kg object is…

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Q: A 3800N load is hung on the end of an 18-m steel wire. What must be its diameter so that the stretch…

A: Given: The load is 3800 N. The length of the wire is 18 m. The elongation in the wire is 9 mm.…

Q: a) Figure Q2a shows a hollow tube of rectangular cross-section subjected to an axial compressive…

A: Write the given values with the suitable variables. P=250 kN=250×103 Nb=0.12 md=0.05 mt=0.003 m…

Q: Two solid cylindrical rods (1) and (2) are joined together at flange B and loaded, as shown. If the…

A: To find minimum diameter for each rod use the formula of normal stress and put the values to solve .…

Q: A 1000-kg object hangs from the lower end of a steel rod 5.0 m long that is suspended vertically.…

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Q: The yield strength of an alloy is 7.0 x 108 N/m? What is the minimum radius rmin of a 3.0 m long…

A: Given that - restoring normal force  Stress To Find - We have to determine the value of the…

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: Is thrée times larger than in steel shaft. QI1) For the section shown aside, if the bending stress…

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Q: A copper wire is 1.0 m long and its diameter is 1.0 mm. If the wire hangs vertically, how much…

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Q: A 50-kg bucket of concrete is suspended from a steel wire that is 1.0 mm in diameter 1.0 mm and 11.2…

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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.

Q: A stainless-steel orthodontic wire is applied to a tooth, as in Figure P9.14. The wire has an…

A: Given: L = 3.1 cm = 3.1 x 10-2 m  radius, r = 0.11 mm = 0.11 x 10-3 m  l = 0.1 mm = 1 x 10-4 m  Y =…

Q: a diver stands (80kg) at the end of a diving board, causing the board to dip 10cm. The board has a…

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

A: Given information: Here, f is the friction force, A is the area of the sole of the shoe, l is the…

Q: Two strips of metal are riveted together at their ends by four rivets, each of diameter 6.0 mm. What…

A: Given, Diameter of the metal bar, d = 6.0 mm = 6.0 × 10–3 mRadius, r = d/2 = 2.5 × 10-3 m Maximum…

Q: A steel wire of length 2.10 m with circular cross section must stretch no more than 0.300 cm when a…

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Q: Nylon breaks when the tensile stress within it reaches 1.0 x 10 ’ Pa. Which range below includes the…

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

Q: A steel wire of length 1.97 m with circular cross section must stretch no more than 0.240 cm when a…

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Q: A 28.0 m long aluminum cable with a cross-sectional area of 2.01 ✕ 10−3 m2 is used to suspend a 3.40…

A: Y=mg/A∆L/L   =mgLA∆L∆L=mgLYA

Q: A mass of 3000 kg hangs at the end of a steel rod 5.0 meters in length.  The area of the cross…

A: Given Data: The mass of a steel rod is, m=3000 kg The actual length of a rod is, l=5 m The…

Q: A mass of 35.0 kg is suspended from a steel wire of diameter 1.00 mm and length 11.3 m. How much…

A: Stress is defined as the force applied per unit area and it is given as σ = FA…

Q: A compressive force of 3.1 × 10ª N is exerted on the end of a 23-cm-long bone of cross-sectional…

A: applied compressive force(F) = 31000 N Cross sectional area of bone = 3.7 cm 2 = 0.00037 m2…

Q: A 0.50 m long guitar string, of cross- sectional area 1.0 x10-6 m2, has a Young’s modulus of 2.0x…

A: Given : L = 0.50 m A = 1 × 10-6 m2 Y = 2 × 109 Pa F = 20.0 N

Q: steel wire of length 1.93 m with a circular cross-section must stretch no more than 0.240 cm when a…

A: Dear student The Young modulus is defined as: Y = Stress/ Strain Here stress = Force / Area Strain =…

Q: A 480 mm long thighbone (femur), which is the largest and longest bone in the human body, has a…

A: Given that  young modulus = 15x 108 N/m2 length of femur = 480 mm =0.480 m cross sectional area =…

Q: A 22.0 m long aluminum cable with a cross-sectional area of 2.01 ✕ 10−3 m2 is used to suspend a 3.80…

A: Given data:  Length (L) = 22.0 m Cross sectional area (A) = 2.01 × 10-3 m2 Mass (m) = 3.80 × 103 kg…

Q: A 6.10 m long marble column has a cross sectional area of 1.38 m^2 has a Young's modulus of 50.5 x…

A: The Young's modulus is given by, Y=σe Here, σ is the stress and e is the strain. The stress is the…

Q: One end of a piano wire is wrapped around a cylindrical tuning peg and the other end is fixed in…

A: Given, ,

Q: A vertical steel girder with a crosssectional area of 0.15 m2 has a 1550 kg sign hanging from its…

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Q: One end of a steel rod of radius R = 10mm and length L = 90 cm is held in a vise. A force of…

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Q: Two strips of metal are riveted together at their ends by four rivets, each of diameter 8.0 mm. What…

A: Diameter of each rivet,

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).