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: 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: 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 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: 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 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 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 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

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).