Your client asks you to construct an accent for his house. You use an iron wire, 0.75m long and 2.75x10^-3 cm^2 in cross - cube of mass 8 kg on one end. On the bottom of the brass cube, you attach a sectional area, and hang a brass similar iron wire and hang another brass cube of mass 7.5 kg. If Young's Modulus of Elasticity for iron is 21x10^10 Pa and that the weight of the iron wires is neglected. For the wire above, determine: (a) tensile stress, (b) the tensile strain, and (c) the elongation.

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 steel wire of length 4.7 m and cross-sectional area 3.0 × 10-5 m2stretches by the same amount as a…

A:

Q: A brass rod 5ft long with a square cross section 0.5 inch on a side is used to support a 520-lb load…

A: B=F/AL'/L=FLL'AL'=FLBA F is the load L is the original length B is the bulk modulus A is the cross…

Q: A 4.0 m steel beam with a cross sectional area of 1.0 x 10-2 m² and a Young's modulus of 2.0 x 1011…

A: Given:-  The length of the steel beam L = 4 m  The cross-sectional area of the beam is A = 1.0 x…

Q: A metal rod is 4.00m long and has a cross-sectional area of 0.50cm^2. It stretches 0.20cm under a…

A: Given data:  Original Length (L) = 4.00 m Cross section area (A) = 0.50 cm2 = 0.50×10-4 m2 Stretch…

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

A: Given : L = 50 m ∆L = 1 cm = 0.01 m m = 70 kg Y = 3.51 x 109 N/m2

Q: A stainless-steel orthodontic wire is applied to a tooth, as in Figure P9.72. The wire has an…

A: the expression for force is,

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: If the elastic limit of copper is 1.50 x 108 N/m2, determine the minimum diameter a copper wire can…

A: Given- If the elastic limit of copper is 1.50 x 108 N/m2, determine the minimum diameter a copper…

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: Calculate the shear modulus (G) for a cylindrical steel specimen. Assuming the elastic modulus is…

A:

Q: A 200 kg load is hung on a wire of length 4.00 m, cross-sectional area of 0.200×10^-4 m^2 and…

A:

Q: A 2 m long steel rod has a cross-sectional area of 0.3 cm?. The rod is a part of a vertical support…

A: The stress of the rod is given by F/A Strain is given by dL/L                    where F= Force…

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 1000-kg object hangs from the lower end of a steel rod 5.0 m long that is suspended vertically.…

A:

Q: A 50-N force is applied to a metal rod with a length of 10 m and a cross- sectional area of 1.0 x…

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: 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 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: 60kg motor sits on four cylindrical rubber blocks. Each cylinder has a height of 3.0 cm and a…

A:

Q: A cubic industrial material whose one side is of length 2.0 cm has a bulk modulus of 4.7 x 10^5…

A:

Q: A 1.60-meter-long steel piano wire has a diameter of 0.200 cm. How great is the tension (in Newtons)…

A: Length of the wire is l = 1.060 m Diameter is 0.2 cm

Q: A stainless-steel orthodontic wire is applied to a tooth, as in Figure P9.14. The wire has an…

A: Given: L = 3.1 cm = 3.1 x 10-2 m  radius, r = 0.11 mm = 0.11 x 10-3 m  l = 0.1 mm = 1 x 10-4 m  Y =…

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: 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…

A: Youngs modulus = stressstrain=F/A∆L/L

Q: A copper wire of length 3 m and 1 mm diameter is subjected to a tension of 5 N. Calculate the…

A: Length = 3 m diameter = 1mm radius = 0.5 mm tension = 5 N Young's modulus of copper = 11×1010 Pa

Q: A homogeneous bar, of mass m = 100kg, is suspended from three symmetrically located vertical wires…

A:

Q: 40. A body of weight 20 N is suspended from a fixed point O by a light elastic string of natural…

A: The tension produced in the string or spring is directly proportional to the extension as

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 0.490-m-long guitar string, of cross-sectional area 1.00 x 10 ^-6 m^2, has Young's modulus Y =…

A: The elongation of the wire, using Hooke's law, ∆L=FLAY

Q: A steel wire, 3.2 m long, has a diameter of 1.2 mm. The wire stretches 1.6 mm when it bears a load.…

A:

Q: SITUATION 2: Your client asks you to construct an accent for his house. You use an iron wire, 0.75m…

A:

Q: A cylindrical specimen of a iron with a Young's modulus of 220 GPa has an original length of 220 mm…

A:

Q: When water freezes, it expands by about 9%. What would be the pressure increase inside your…

A:

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: A 469 kg load is hung on a wire of length 6 m, cross- sectional area 0.200 x 10¬ 4 m², and Young's…

A: Given : m = 469 kg L = 6 m A = 0.200 × 10-4 m2 Y = 8 × 1010 N/m2

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: A small steel cube (side length 2.54 cm) is being tested by subjecting it to compressive forces of…

A:

Q: A solid steel sphere with a radius of 2.0 m falls off a ship and sinks to a depth where the pressure…

A: Given : radius, r= 2 m  Pressure, P = 15 MN/m2 = 15 × 106 N/m2  Bulk modulus, B=1.6×1011 N/m2  Find…

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: You hang a heavy ball with a mass of 40 kg from a silver rod 2.8 m long by 2.2 mm by 2.7 mm. You…

A: The ratio of distance to time taken to travel a distance is used to calculate speed. Because it has…

Q: A copper wire of length 3-m and 1-mm diameter is subjected to a tension of 5-N. Calculate the…

A: Given: The length of the wire is 3 m. The diameter of the wire is 1 mm. The tenson in the wire is 5…

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

A:

Q: A small steel cube (side length 2.54 cm) is being tested by subjecting it to compressive forces of…

A: Given data:  Side length (L) = 2.54 cm = 2.54 × 10-2 m Force (F) = 5.00 MN = 5.00 × 106 N Young's…

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

A: Given ∆VV=0.09 Bulk modulus (B)=2.0*109 N/m2 Required ∆P=?

Helmholtz Free Energy

The Helmholtz free energy is a thermodynamic potential used to calculate the measure of useful work from a closed system. This system is kept at constant temperature and volume. German physicist Hermann Helmholtz introduced this concept in 1882.