A man with a mass of 72.1 kg stands on one foot. His femur has a cross-sectional area of 8.00 cm2 and an uncompressed length 49.6 cm. Young’s modulus for compression of the human femur is 9.40 × 109 N/m2.   A.) How much shorter is the femur when the man stands on one foot? B.)What is the fractional length change of the femur when the person moves from standing on two feet to standing on one foot?

Q: The elastic limit of an alloy is 7.0 x 10% N/m². What is the minimum radius rmin of a 4.0 m long…

A:

Q: A1 (1.0) m long rod of cross-section 1.0x10 4 m2 is stretched by 537 um. What is the tensile stress…

A: Given, Length of rod,L=1 m Area of cross section,A=1×10-4m2 Change in length,∆L=537μm=5.37×10-4m…

Q: Assume a person's mass is 54.0 kg and each of her shoes has an area of 195 cm². F on her feet if her…

A:

Q: What hanging mass will stretch a 2.0-mm-long, 0.59-mmmm-diameter steel wire by 1.2 mmmm ? The…

A:

Q: A heavy crate with weight 4900 N hangs from a thick nylon rope. The rope has a cross-sectional area…

A: Solution: Given that Weight W = 4900 N Area A = 1.4x10-4 m2 youngs modulus E =3.7x109 N/m2

Q: An 11.0-kg stone at the end of a steel (Young's modulus 2.0 x 1011 N/m²) wire is being whirled in a…

A:

Q: a) Figure Q2a shows a hollow tube of rectangular cross-section subjected to an axial compressive…

A: Write the given values with the suitable variables. P=250 kN=250×103 Nb=0.12 md=0.05 mt=0.003 m…

Q: A 24.0 m long aluminum cable with a cross-sectional area of 2.04 x 10-3 m2 is used to suspend a 3.20…

A: Given, Length L = 24.0 m             Area A = 2.04 × 10-3 m2            mass m = 3.20 × 103 kg…

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 mineshaft has an ore elevator hung from a single braided cable of diameter 2.5 cm. Young’s modulus…

A:

Q: A tow truck is pulling a car out of a ditch by means of a steel cable (Y = 2.0 x 1011 N/m²) that is…

A: The objective of the question is to find out how much the steel cable has stretched when the car…

Q: Review Problem. A 36.0 kg hammer strikes a steel spike 2.20 cm in diameter while moving with speed…

A:

Q: A 2.5 x 105 kg mass presses down 18 inches high stock file that causes the file to deform at 2.7 cm…

A: The area of the stack file. Given, Shear ModulusG=7.4×1010 N·massm=2.5×105 kgdeformationx=2.7…

Q: A violin string has a radius of 4.1 x 104m. During tuning, 32.5 cm of the string is placed under a…

A: Given Initial lenth of string is 32.5 cm Elongation of lenth is 0.93 cm Assume elongation in elastic…

Q: Humans can bite with a force of approximately 810 N. If a human tooth has the Young's modulus of…

A: SOlution: as given F = 810 N E = youngs modulus of bone= A = 1.5 cm2 = 1.5x10-4 m2 L = 1.5 cm =…

Q: An 9.85-kg stone at the end of a steel (Young's modulus 2.0 x 10 N/m²) wire is being whirled in a…

A: We have the Young's modulus Y=stressstrain

Q: An 1800-kg elephant is placed on top of an aluminum cylinder, 4.3 meters high. The area of the top…

A: height of cylinder (h) = 4.3 m Surface area (A) = 0.080 m2mass of elephant (m) = 1800 kg Young's…

Q: A cylinder has length L=40.5 cm and radius R=10.5 mm experiences a force F=67 kN as in Figure 6. It…

A: Given:  The force experienced by the cylinder is F = 67 kN The length of the cylinder is L = 40.5 cm…

Q: A 13.2 kg child jumps up and grabs a (round) horizontal tree branch that has a diameter of 5 cm. The…

A: GivenMass of child m=13.2 kgDiameter of tree branch d =5 cm=0.05 mLengh of Branch iinitialy from…

Q: Problem 6: The assembly shown below consists of 30 mm diameter aluminum bar ABC with fixed collar at…

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Q: A man with a mass of 68.3 kg stands on one foot. His femur has a cross-sectional area of 8.00 cm2…

A: GivenM= 68.3 kgA =8.00 cm2 =8.00 ×10-4 m2uncompressed length (L) = 50.4 cm = 50.4 × 10-2 mYoung's…

Q: A mass of 3000 kg hangs at the end of a steel rod 5.0 meters in length.  The area of the cross…

A: Given Data: The mass of a steel rod is, m=3000 kg The actual length of a rod is, l=5 m The…

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).