A 29.0 m long steel cable with a cross-sectional area of 2.05 ✕ 10−3 m2 is used to suspend a 3.00 ✕ 103 kg container. By how much will the cable stretch (in m) once bearing the load? (Young's modulus for steel is Y = 20 ✕ 1010 Pa.)

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: In a structure you need to place a 7.5 m steel wire that does not stretch more than 6.7 cm when a…

A: Given,

Q: A small cylinder of copper has length 0.400 m and cross-sectional area of 3.00 ✕ 10−3 m2. The…

A:

Q: An 80-cm-long, 1.0-mm-diameter steel guitar string must be tightened to a tension of 2.0 × 103 N by…

A: Given dataThe length of the string is given as L = 80 cm.The diameter of the string is given as d =…

Q: On a forest trail a 4m long birch tree trunk is laid across a ravine as a bridge. The trunk is 4m…

A: Given that, The length of the trunk = 4 mThe diameter of the trunk = 20 cmThe Young's modulus of…

Q: A load with a weight of 125.0Newtons is attached to a brass wire with a length of 7.5 meters.…

A: GIVEN   F=125N l= 7.5 m Y=8.96 X 10^11 Pa r=0.7 X  10^3 m

Q: A load of 18 x 104 N is placed upon a vertical steel support of 6.0 m height and with a…

A: Given that:

Q: 1 D=2 cm diameter and l = 2 m long copper rod is lengthened by force F = 350 N for Al = 0.2 mm.…

A:

Q: A cube with original edges of L=3.5 cm long is made of material with a bulk modulus of 8.8*10^9…

A:

Q: A rubber band 20 cm long has a cross-sectional area of 0.04cm^2. What load (in dynes) will stretch…

A: Given data: The length of the rubber band is L = 20 cm. The cross-sectional area of the rubber band…

Q: After a fall, a 97 kg rock climber finds himself dangling from the end of a rope that had been 16 m…

A:

Q: rts a load of 4.5  1

A: Given: Length L = 4.0 m Area A= 7.5 10-3 m2  Force F = 4.5 104 N Young's modulus for steel  Y = 210…

Q: A bar of length 100 cm is supported a its two ends. The breadth and depth of bar 5 cm and 0.5 cm…

A: To find-Depression produced in the bar (δ)=?Given-length (l)=100 cm=1 mBreadth (b)=5 cm=5×10-2…

Q: A hydraulic press contains 0.25m^3 of oil. It is subjected to a pressure increase of 1.6x10^7 Pa.…

A: Have a look at solution dear

Q: A short, square timber post supports a load of 115 kips. If the allowable unit compressive stress is…

A: The given data are listed below with appropriate variables. Here, F denotes the applied load and σ…

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 45 kg boy whose leg bones are 5 cm? in area and 50 cm long falls through a height of 2 m without…

A: Given data m=45 kg B. S= 0.9×108 N/m2 A= 5cm2  L=50 cm loss in PE = gain energy Stored in leg bones…

Q: When water freezes, its volume increases by 9.05% (that is, ΔV/V0=9.05×10^−2) a. What force per…

A:

Q: he support consists of a solid red brass C83400 copper post surrounded by a 304 ainless steel tube.…

A: Given,  A figure with dimensions.  We need to calculate,  the greatest axial load that can be…

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

A: Given data *The frictional force acting on each foot is F = 20.0 N *The area of each shoe's sole is…

Q: In a structure you need to place a 1.7 m steel wire that does not stretch more than 3.7 cm when a…

A: Given that, Length steel wire = 1.7 m Stretched length = 3.7 cm Force = 417 N Young's modulus =…

Q: A bar of length 100 cm is supported at its two ends. The breadth and depth of bar 5 cm and 0.5 cm…

A: We have to find the depression produced in the bar. Area, A=5 mm2=5×10-6 m2, Length, L=100 cm=1 m,…

Q: X A steel beam is placed vertically in the basement of a building to keep the floor above from…

A:

Q: A 215-kg load is hung on a wire of length of 3.30 m, cross-sectional area 2.000*10-5 m2, and Young's…

A: Given data: Mass (m) =215-kg Length (L) = 3.30 m cross-sectional area (A) =2.000*10-5 m2 Young's…

Q: ound load (P = 12000 lbf). The support is required to be a hollow tube with a length of ! = 12 in.)…

A: crippling load refers to the maximum load at which the column experiences lateral displacement or…

Q: A small cylinder of copper has length 0.600 m and cross-sectional area of 2.20 ✕ 10−3 m2. The…

A:

Q: A bar of length its two ends. The breadth and depth of bar 5 cm and 0.5 cm respectively. A mass of…

A: Using formula of bending of beam we will be able to find the depression produced within the beam

Q: A brass bolt is used to connect two brass plates together. The bolt must withstand shear forces up…

A: Given: Force is 3310 N Safety factor is 5

Q: In a structure you need to place a 7.3 m steel wire that does not stretch more than 6.3 cm when a…

A: Given: The length of the steel wire is 7.3 m. The change in the length is 6.3 cm. The force applied…

Q: A 26.0 m long steel cable with a cross-sectional area of 2.05 ✕ 10−3 m2 is used to suspend a 3.60 ✕…

A:

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…

A: As we know  Stress = γ * Strain                                   (γ = Young's modulus = 2.0 x 1011…

Q: A copper wire of length 2.2m and a steel wire of length 1.6m both of diameter 3.0mm, are connected…

A:

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: A cube with edges exactly 2.00 cm long is made of material with a bulk modulus of 3.50 x 10° N/m².…

A:

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

A:

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: 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…

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).