Calculate the force a piano tuner applies to stretch a steel piano wire 8.00 mm, if the wire is originally 0.850 mm in diameter and 1.35 m long.

Q: Assume a leg has 0.06 m shaft of bone with an average cross sectional area of 2.5 m2 , What is the…

A: Young's Modulus of a material is the measure of it's elasticity, and it is equal to the ratio of the…

Q: The elevator in a vertical mine shaft is supported by a steel cable of cross-sectional area 3.20 x…

A:

Q: Calculate the force (in N) a piano tuner applies to stretch a steel piano wire 7.60 mm, if the wire…

A: The diameter of the piano wire, D=0.900 mm Therefore, the radius of the wire, r=D2=0.450 mm =…

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

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Q: Calculate the force (in N) a piano tuner applies to stretch a steel piano wire 8.70 mm, if the wire…

A: Solution: Given that ∆L = 8.7 mm = 8.7 x 10-3 m D = 0.83 mm = 0.83 x 10-3 m L = 1.3 m E = 210 x 109…

Q: 5.8 A reinforced concrete column is 12 feet long, and un- der load, it shortens inches". Determine…

A: Given data: Length of concrete column (L) = 12 feet Change in length (ΔL) = 1/8 inches Required: The…

Q: Assume a leg has 0.6 m shaft of bone with an average cross sectional area of 1.5 cm² , What is the…

A:

Q: A vertical off-shore structure is built to withstand a maximum stress of 109 Pa. Is the structure…

A: Given : The maximum stress the structure can handle, P = 109 PaDepth of the sea, d = 3 km = 3 × 103…

Q: Find the smallest diameter bolt that can be used in the clevis in Fig. 3.2 if P = 415 kN. The…

A: Given, P=415kN Shearing strength=300Mpa

Q: vertebra is subjected to a shearing force of 580 N. Find the shear deformation, taking the vertebra…

A: Given, Shear force= F= 580 N. Length= L= 3cm= 0.03 m. Shear modulus= G= 8*10¹⁰N/m². Diameter= 6 cm.=…

Q: In a structure you need to place a 6.7 m steel wire that does not stretch more than 2.5 cm when a…

A:

Q: A steel bar is 10 mm in diameter and 2 m long. It is stretched with a force of 20 kN. Calculate the…

A: Given data: Diameter (d) = 10 mm = 0.010 m Length = 2 m Force (F) = 20 kN = 20 × 103 N Required: The…

Q: If the shear stress exceeds about 4.00 x 108 N/m2, steel ruptures. Determine the shearing force…

A: Given data *The given shear stress is S = 4.00 × 108 N/m2 *The given bolt diameter is d = 1.00 cm =…

Q: Calculate the force a piano tuner applies to stretch a steel piano wire by 8.00 mm, if the wire is…

A: The cross-sectional area of the wire can be obtained as

Q: Calculate the force a piano tuner applies to stretch a steel piano wire 10.00 mm, if the wire is…

A:

Q: By how much does a 69.3 kg mountain climber stretch her 0.810 cm diameter nylon rope when she hangs…

A: Mass of mountain climber, m = 69.3 kg Diameter of Nylon rope, d = 0.810 cm Original length, lo =…

Q: The radius of a copper bar is 4 mm. What force is required to stretch the rod by 20% of its length,…

A: The radius of the copper bar,   The percentage of elongation or strain,   Young’s modulus of…

Q: During heavy lifting, a disk between spinal vertebrae issubjected to a 5000-N compressional force.…

A:

Q: Calculate the force (in N) a piano tuner applies to stretch a steel piano wire 8.70 mm, if the wire…

A:

Q: Calculate the force (in N) a piano tuner applies to stretch a steel piano wire 7.60 mm, if the wire…

A:

Q: A 1.9-m-long, 1.0-mm-diameter steel string is pulled by a 3.6 × 103 N tension force. By how much is…

A:

Q: There is a disk of cartilage between each pair of vertebrae in your spine. Suppose a disk is 0.50 cm…

A: Given: A thickness of disk = 0.50 cm A diameter of disk = 4.0 cm Disk support half the weight of a…

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

A:

Q: Calculate the force (in N) a piano tuner applies to stretch a steel piano wire 8.2 mm if the wire is…

A: The solution for this question has been solved below..

Q: A vertebra is subjected to a shearing force of 490 N. Find the shear deformation, taking the…

A: Explanation Shear modulus is defined as the ratio of shear stress to shear strain. It is measured…

Q: A disk between vertebrae in the spine is subjected to a shearing force of 670 N. Find its shear…

A: The shear modulus is

Q: For safety in climbing, a mountaineer uses a nylon rope that is 50 m long and 1.0 cm in diameter.…

A:

Q: Calculate the force a guitar tuning peg applies to stretch a steel guitar string 1.00 mm, if the…

A: (given) Original diameter of wire (d) = 0.850 mm                                               =…

Q: For safety in climbing, a mountaineer uses a nylon rope that is 63 m long and 100-kg climber, the…

A: Given:- The length of the rope L = 63 m  The diameter of the rope is d = 1.2 cm  The mass of climber…

Q: A metal bar’s dimensions are 1 in x 2 in. If the bar has a modulus of elasticity of 4.14x10^9 Pa,…

A: Given  Initial lenth is 15 in Final lenth = 15.25 in Dimensions = 1*2 in E = 4.14*10⁹ pa concept…

Q: Calculate the force (in N) a piano tuner applies to stretch a steel piano wire 7.90 mm, if the wire…

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Q: Calculate the force (in N) a piano tuner applies to stretch a steel piano wire 8.10 mm, if the wire…

A:

Q: The radius ofa copper bar is 4 mm. What force is required to stretch the rod by 20% of its length,…

A: The Young’s modulus is given by,

Q: an 80cm long, 1.0mm diameter steel guitar string must be tightened to a tension of 2000 N by turning…

A:

Q: The corresponding values of the viscosity of benzene are 0.604 mPa s and 0.436 mPa s. Evaluate the…

A: The activation energy for viscosity is given by: Ea=Rln(η(T2)η(T1))1T2-1T1 where,R is the universal…

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

A: Since Young's modulus is given by, Y = Stress/Strain Stress = Tension Force/Area = T/A Strain =…

Q: A steel string of a racket is ender tension of 280 N. If its diameter is 1.00mm, by how much is it…

A: Young's modulus for steel is, 210 GPa The elongation is ,…

Q: By how much does a 65.0-kg mountain climber stretch her 0.800-cm diameter nylon rope when she hangs…

A: The expression for find change in length is ∆l=FlAY=mglAY

Q: A wire is stretched 3mm by a force of 150 N. Assuming the elastic limit is not * :exceeded, the…

A: Given, Stretched wire l = 3mm Force F1 = 150 N

Q: Calculate the force (in N) a piano tuner applies to stretch a steel piano wire 7.30 mm, if the wire…

A: The property of a material by virtue of which it resists any elastic deformation in the body under…

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

Q: Calculate the force a piano tuner applies to stretch a steel piano wire 8.40 mm, if the wire is…

A: change in length (∆L) = 8.40 mm diameter of wire (d) = 0.800 mm Length (L) = 1.35 m Young's modulus…

Q: A 89 cm long wire was found to stretch 1.6 mm by a force of 117 N. The wire was round in the shape…

A: Given data:  Length of wire (L) = 89 cm = 0.89 m Change in length (Δl) = 1.6 mm = 1.6×10-3 m Force…

Q: A steel wire of diameter 1mm can support a tension of 0.2 kN. Determine the diameter of a steel…

A: Given:-              The diameter of the steel wire = 1 mm…

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).