Material Young's modulus Bulk modulus Shear modulus х 1010 Ра x 101º Pa х 1010 Ра Aluminum 7.0 7.5 2.5 Bone (tension) 1.6 0.8 8.0 Bone (compression) 0.9 Brass 9.0 6.0 3.5 Brick 1.5 Concrete 2.0 Copper 11.0 14.0 4.4 Crown glass 6.0 5.0 2.5 Granite 4.5 4.5 2.0 Hair (human) 1.0 Hardwood 1.5 1.0 Iron 21.0 16.0 7.7 Lead 1.6 4.1 0.6 Marble 6.0 7.0 2.0 Nickel 21.0 17.0 7.8 Polystyrene 3.0 Silk 6.0 Spider thread 3.0 Steel 20.0 16.0 7.5 Acetone 0.07 Ethanol 0.09 Glycerin 0.45 Mercury 2.5 Water 0.22 Table 12.1 Approximate Elastic Moduli for Selected Materials

Q: 200 150 100 --- Material X 50 Material Y • Material Z 0.000 0.005 0.010 0.015 0.020 0.025 Strain (ɛ)…

A: SOlution: Given that d = 3 mmL =1.25 ftstrain ε = 0.045

Q: The graph below represents the stress versus strain for a particular material. What is the Young's…

A: The expression for the Young’s modulus is,

Q: Evaluate Young’s modulus for the material whose stress– strain curve is as shown.

A: Solution: Young’s modulus for the material whose stress– strain curve is as shown has given by,

Q: Normal forces of magnitude 1.0 × 106 N are applied uniformly to a spherical surface enclosing a…

A:

Q: A 19 -L volume of oil is subjected to pressure which produces a volume strain of 1.3 x L0-4. The…

A:

Q: YOUNGS MODULUS FOR A 4m LONG METAL ROD WITH A 0.50cm2 CROSS SECTIONAL AREA THAT STRETCHES 0.20cm UN

A: GivenLength of rod, L=4 mArea of rod, A=0.5 cm2=0.5×10-4 m2Strech length, ∆L=0.2 cm=0.2×10-2…

Q: Find the force required to stretch a 1.0 m steel wire of diameter 3.2 mm by 10.0 mm. Given the…

A:

Q: How large a pressure increase (in ATM) must be applied to water if it is to be compressed in volume…

A: Answer Option ( c ) = 200 atm

Q: When the pressure on a sphere is increased by 80 atmospheres then its volume decreases by 0.01% .…

A:

Q: Compute the pressure in Nm2 required to compress a given volume of water V, to 99 percent of its…

A:

Q: An object with a mass equal to 300 kg is hung on a wire of length 5.00 m and cross-sectional area of…

A: Write the given values with suitable variables. m=300 kgL=5 mA=0.25×10-4 m2E=8×1010 N Here, m is the…

Q: What could be the change in length of the wire with a cross sectional area of  0.000025 m2 with…

A:

Q: 200 150 100 -- Material X 50 Material Y • Muterial Z 0.000 0.005 0.010 0015 0.020 0.025 Strain (e)…

A: young's modulus of material y=stressstrainy=(150-15)MPa0.02-0.001y =1350.019y = 7105.26 MPa7105.26

Q: If a pressure applied to 1 kg of water is 13.2 x 10^7 N/m^2 causes a percentage reduction in volume…

A:

Q: A (2 m)-long steel wire in a musical instrument has a radius of (0.3 mm). When the wire is under a…

A:

Q: A copper wire of length 4.4 m, cross sectional area 2.8 x 10 m and Young's modulus 11 x 10-0 N/m2…

A:

Q: Your client asks you to construct an accent for his house. You use an iron wire, 0.75m long and…

A:

Q: Humans can bite with a force of approximately 791 N. If a human tooth has the Young's modulus of…

A: The change in the tooth's lenght is 7.23×10-6 m.

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…

A:

Q: A steel wire 2.5 mm in diameter stretches by 0.038 % when a mass is suspended from it. The elastic…

A: streched wire, ∆x=0.038% of l0 ∆x=0.038100=3.8*10-4  l0

Q: A string 0.002 mm in diameter and original length of 1.0 m is pulled by a force of 196 N. If the…

A:

Q: Evaluate Young's modulus for the material whose stress-strain curve is shown in the figure below.…

A: From the figure given stress strain curve, it is clear that the stress of the material corresponding…

Q: Your client asks you to construct an accent for his house. You use an iron wire, 0.75m long and…

A: Solution given data l = 0.75m A = 2.75×10-3 cm2 E = 21 × 1010 Pa

Q: A sign (mass 2500 kg ) hangs from the end of a vertical steel girder with a cross-sectional area of…

A: Given: The mass of sign is m=2500 kg, The cross-sectional area is A=0.016 m2, The length of the…

Q: A string has a diameter of 1 cm and the original length of 2 m. The string is pulled by a force of…

A:

Q: A horizontal aluminum rod 3.9 cm in diameter projects 7.1 cm from a wall. A 1200 kg object is…

A:

Q: 1. Rank the following materials based on its rigidity, where 1 is the most rigid and 3 is the least…

A:

Q: A large 75-kg lighting fixture can be hung from wires of identical size and shape made of aluminum,…

A: Given: The mass is 75 kg. The Young's modulus of aluminum is 0.70x1011 Pa. The Young's modulus of…

Q: Two round rods, one of steel, the other of brass, are joined end to end. Each rod is 0.5 m long and…

A: Y = (F/A) /strain Strain = F/(YA)  Where Y = youngs modulus A = area of cross section F = force…

Q: Find the minimum diameter of a (50 m)- long nylon string that will stretch no more than (1 cm) when…

A: Initial length of the nylon string Lo = 50 m  Change in length of the nylon string ∆L = 1 cm =>…

Q: Find the density of seawater at a depth where the pressure is 460 atm if the density at the surface…

A: Pressure , P = 460 atm  Density , ρ= 1100 kg/m3  Bulk modulus , B = 2.3 x 109  To find =density at…

Q: When water freezes, it expands by about 9.00%. What would be the pressure increase inside your…

A: Given data The expansion volume of the water is ∆vv=9 %=0.09 The bulk modulus of ice is k = 2 x 109…

Q: A wire that is 1.0 mm in diameter and 3.5 m long stretches 3.5 mm when an 8.0-kg tool is hung from…

A: Given data diameter of wire d = 1.0 mm  Radius of wire r = 0.5 mm = 0.5 x 10-3 m Cross section area…

Q: A fishing rope of length (74+ 50) m has the diameter (74 + 5) mm. When a weight of (74 +200) N is…

A: i. The cross-sectional area of the rope is given by,

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

A: Given data as per question Young modulus = 21*1010 Force  =    7*105  A    =  0.25

Q: Normal forces of magnitude 3.0 x 10° N are applied uniformly to a spherical surface enclosing a…

A: As per our guidelines we are supposed to answer?️ only one question. Kindly repost other questions…

Q: Humans can bite with a force of approximately 808 N. If a human tooth has the Young's modulus of…

A: Using the equation for Young's Modulus, Y=FLA∆L∆L=FLAY

Q: an (1 cm) when a load of (70 kg) is suspended from its lower end. Assume that the Young modulus…

A: we know that    γ = F/A△L/L L=50 m  A= πR2  △L= 1X10-2 m     γ= 3.51x 109 n/m2 let R=r min…

Q: 5. When water freezes, it expands by about 9.00%. What pressure increase would occur inside your…

A:

Q: How much would the volume of 2.54 cm^3 of aluminum on Earth increase if it were placed in a vacuum…

A: Given : Volume of aluminium (V) = 2.54 cm3 Pressure (P) = 1 x 10-9 Pa Bulk modulus of aluminium (B)…

Q: hed by 2.4 cm. For the rope, calculate (a) the strain, (b) the stress, and (c) the Young's modulus.…

A: mass= m = 74 kg length = l = 15m diameter = 2r = 9.8 mm radius = r = 4.9 mm = 0.0049 m stretched…

Q: A wire has a diameter of 0.01 m and the original length of 3 m. The string is pulled by a force of…

A: Young's modulus is given by, Y = (F/A)/(dL/L) here, F = Force applied on string = 467 N A =…

Q: The bulk modulus of water is 2.3 x Find its compressibility. How much pressure in atmospheres is…

A: Here, we calculate the given as follow;

Q: A man with a mass of 75.2 kg stands on one foot. His femur has a cross-sectional area of 8.00 cm^2…

A: Given data: mass (m) = 75.2 kg cross-sectional area (A) = 8 cm2 uncompressed length (L) = 50.5 cm…

Q: A string has a diameter of 1cm and original length of 200 cm. the string is pulled by a force 2kN.…

A: Given data   The diameter of the string is d = 1 cm. The original length of the string is l = 200…

Q: The graph below represents the stress versus strain for a particular material. Stress (MPa) 800…

A: Young's modulus is defined for linear elastic behaviour only as below.

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).