A 557-N force is applied to stretch a cable, 66-m long and has a cross-sectional area of 2.8 mm^2. Young's modulus for the cable is 1.0 × 10^11 N/m^2. How far does the cable stretch?

Q: By what amount does the nylon stretch?

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

A: Youngs modulus=FL/AΔL

Q: What is the tension force in the wire shown below if it stretches 0.35 cm when tightened if young's…

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Q: Consider a copper wire with cross-sectional area 4 mm?. The Young's modulus for copper is 1.1 × 1011…

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Q: A circular rod of cross-sectional area 2 x 10m² has a tensile force of 80 kN applied to it. The…

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

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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: 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

Q: Two rods, one made of copper and the other of steel, have the same dimensions. If the copper rod…

A: Write the expression for Young’s modulus, solve it for the stress of the copper rod as follows.

Q: A rod with a radius of 0.005 m and length of 2 m stretches 0.002 m when subjected to a tension force…

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Q: What is the tension force in the wire shown below if it stretches 0.35 cm when tightened if young's…

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Q: A copper wire of length 8.7 m , cross sectional area 1.3 x 10-6m2and Young’s modulus 11 x 1010 N/m2…

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Q: What is the tension force in the wire shown below if it stretches 0.35 cm when tightened if young's…

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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 o= 45844…

A: Young's modulus is Y= 1.5×10¹⁰  N/m²  Maximum stress is σ = 45844 N/m²  Effective radius of the bone…

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: 1. Assume Young’s modulus for bone is 1.50 x 1010 N/m2. The bone breaks if stress greater than 1.50…

A: The maximum force is, F=stressArea=stressπd24

Q: A road with a radius of 0.005m and length of 2n stretches 0.002m when subjected to a tension force…

A: Given : Radius of road, r = 0.005 m Length of rod, l = 2 m Length stretched by the rod, ∆l = 0.002 m…

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

A: Given :      Young's modulus for bone, Y = 1.50*1010 N/m2       Stress to break the bone, S =…

Q: 25. Philip stands at the end of the diving board, 2m from its point of attachment. If the board is 1…

A: This problem can be solved by using formula of shear modulus.  And in the given scenario the only…

Q: Two 20 kg blocks are connected by a 2.0-m-long, 5.0-mm-diameter rope.  Young's modulus for this rope…

A: Given data: Mass m1=m2=20 kg Length of the rope l=20m Diameter of the rope d=5.0mm Young's modulus…

Q: The figure shows the stress-strain curve for a material. The scale of the stress axis is set by s =…

A: (a) Write the given data. σ=320  106 N/m2ε=0.0040

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: Young's modulus of iron rod is 21 x 1010 N/m². A force of 7.0 × 105 N is applied to a 1.5-m length…

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Q: Q2.8/ If the tensile stresses generated in a copper rod after the influence of external forces (ot…

A: Given data: The tensile stress in the material is σt=2158.2104 N/m2. The longitudinal strain is…

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: Young's modulus of nylon is 3.7 × 109 N/m2. A force of 6.0 × 105 N is applied to a 1.5-m length of…

A: Given data: The Young's modulus of nylon is E=3.7×109 N/m2. The force applied is F=6.0×105 N. The…

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

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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 o= 81962…

A: To determine: The maximum force that is exterted on the femur bone

Q: The bone breaks if stress greater than 1.50 x 10⁸ N/m2 is imposed on it. (a) What is the maximum…

A: (a) Allowable stress for bone: σ=1.50×108 N/m2 Diameter of bone: d=5.87 cm=0.0587 m Expression of…

Q: A steel guitar string with a diameter of 0.300 mm and a length of 70.0 cm is stretched by 0.500 mm…

A: Young's modulus= 2 × 1011 N/m2

Q: Young's modulus of iron rod is 21 × 1010 N/m². A force of 7.0 x 105 N is applied to a 1.5-m length…

A: Force applied, F = 7x105 N Length of iron rod, l = 1.5 m Cross sectional area of iron, a = 0.25 m2…

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: The figure shows the stress-strain curve for a material. The scale of the stress axis is set by s =…

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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: Three plates, secured by a 60 mm bolt, are being pulled at opposite directions alternately. What…

A: Diameter of the bolt, D=60 mmRadius of the bolt, R=30 mm=30×10-3 mStress, P=175 MPa

Q: A brass wire which is 4.00 m long and 4.00 mm in diameter hangs from the ceiling. If a mass of 5.00…

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Q: What hanging mass will stretch a 2.2-m-long, 0.34 mm - diameter steel wire by 1.2 mm? The Young's…

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Q: Consider a rod, when applied with a certain force, reverts to its original form. With stress given…

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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).