A hollow cortical bone has a maximum compressive stress of 185 MPa. This bone has an area of 6.4 cm². What is the maximum force this bone can withstand in compression, in Newtons?

Q: The total cross-sectional area of the load-bearing calcified portion of the two forearm bones…

A: Cross-sectional area is Initial velocity is Final velocity is Time is Mass is Note:Find:The…

Q: The largest tendon in the body, the Achilles tendon, connects the calf muscle to the heel bone of…

A:

Q: A 5.0 × 102 N object is hung from the end of a wire of cross-sectional area 1x10-6 cm2. The wire…

A:

Q: A 40-kg boy jumps from a height of 3.0 m, lands on one foot and comes to rest in 0.10 s after he…

A: Given values, Height, h =3 m mass of boy, m = 40 kg time taken to come to rest, t = 0.10 s

Q: How large a force is necessary to stretch a 2.0-mm-diameter steel wire (Y = 2.0 x 1011 N/m2) by…

A:

Q: A cylindrical specimen of some metal alloy of 8.5 mm in diameter is stressed elastically in tension.…

A: Given  T = 15700 N. D = 8.5 mm = 0.0085 m ∆D = 5.3*10-3mm

Q: A 45 kg boy whose leg bones are 5 cm² in area and 50 cm long falls through a height of 2 m without…

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Q: A steel cable with a radius of 1.5cm supports a chairlift at a ski area. If the maximum stress is…

A: The equation for the stress is given by,

Q: The femur bone in a human leg has a minimum effective cross section of 2.85 cm² and an ultimate…

A:

Q: A vertical off-shore structure is built to withstand a maximum stress of 109 Pa. Is the structure…

A: Given : The maximum stress the structure can handle, P = 109 PaDepth of the sea, d = 3 km = 3 × 103…

Q: Q. A rod having a diameter of 4 cm and length of 1 m is suspended from a rigid suppor as shown in…

A: Youngs modulus of elasticity     Y = stress /strain

Q: The Young's modulus for aluminium is 7 × 10¹0 Pa. You want an aluminium wire to not stretch more…

A: Given data:  Young's modulus (Y) = 7×1010 Pa Stretch in wire (ΔL) = 1.8 cm = 0.018 m Original Length…

Q: A string on a tennis racket is under the tension of 25 N. If its diameter is 3.3 mm, by how much is…

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Q: What is the compression in the tibia of length l = 30 cm of a person of mass m = 80 kg when standing…

A:

Q: A cable is 100 m long and has a cross-sectional area of 1.0 x 10-6 m2. A 1000 N force is applied to…

A: The objective of the question is to find out how far the cable stretches when a force is applied to…

Q: approximately 25 N of tensile force per square centimeter of cross-sectional area. Calculate the…

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Q: What is the force required to a steel wire to double its length when its area of cross-section is…

A: In the question it is given that ,Young's Modulus Y=200GPa=200×106Pa=2×104N/m2length of the wire…

Q: Steel beams are used for load bearing supports in a building. Each beam is 4.0 m long with a…

A: Length , L = 4 m Cross sectional area , A = 9.3 x 10-3 m2  Load , F = 7.5 x 104 N Young's modulus ,…

Q: An 800Kg lift is suspended by a steel cable whose allowable stress is 1.2x10^8N/m^2. What is the…

A: Given that,  The mass of the lift, m is 800kg. The allowable stress on the steel cable, σ is 1.2×108…

Q: The figure shows the stress-strain curve for a material. The scale of the stress axis is set by s =…

A:

Q: When subjected to a force of compression, the length of a bone (compression Young's modulus 6.4x10…

A: Young modulus (Yc ) = 6.4 × 109 N/m2 Tensile young modulus (YT) = 1.8 × 1010 N/m2 . ∆xc = 2.5 × 10-5…

Q: A material has a shear modulus of 5.0 × 10⁹ N/m². A shear stress of 1.7 x 107 N/m² is applied to a…

A: Here Shear modulus = 5.0 × 109 N/m2 Shear stress = 1.7 × 107 N/m2 We have to calculate the shear…

Q: A steel cable 2.0 m long has a cross-sectional area of 0.07 m2. A 200-kg machine is hung from the…

A: Length of cable L = 2.0 m Cross-sectional area A = 0.07 m2 Mass of machine M = 200 kg Young modulus…

Q: A cable supports a lift that moves up with an upward acceleration of 2 m/s2. Given that the…

A: Given, Upward acceleration,a=2 m/s2 Proportional limit stress,σ=10.1×109N/m2 Area of…

Q: Assume Young's modulus for bone is 1.50 x 1010 N/m2. The bone breaks if stress greater than 1.50 x…

A: Given :      Young's modulus for bone, Y = 1.50*1010 N/m2       Stress to break the bone, S =…

Q: A cable used to lift heavy materials can resist breaking even under a load of 1 meganewtons. The…

A:

Q: An aluminium (p = 2.7g/cm³) wire is suspended from the ceiling and hangs vertically. How long must…

A: Given that-Density of aluminium wire, ρ=2.7g/cm3Stress at upper end, σt= 8×107 N/m2We know…

Q: c) A hollow connecting rod has an inner diameter of 26.25 mm and is subjected to an axial tensile…

A: Write the given values with the suitable variables. d=26.25 mm=26.25×10-3 mF=500 MN=500×106 Nσ=325…

Q: In a materials testing laboratory, a metal wire made from a new alloy is found to break when a…

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Q: The nuchal ligament in a horse supports the weight of the horse’s head. This ligament is much more…

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Q: A rubber band 20 cm long has a cross-sectional area of 4 mm2 . What load will stretch the rubber…

A: The Young's modulus is given by Y =F LA l where, F is the load, l is the extension, A is the area, L…

Q: A 5.0 x 102 N object is hung from the end of a wire of cross-sectional area 1x106 cm?. The wire…

A:

Q: The figure shows the stress-strain curve for a material. The scale of the stress axis is set by s =…

A: Young's modulus is a measurement of a material's capacity to endure length changes when subjected to…

Q: A steel wire, 3.0 m long, has a diameter of 1.0 mm. If a 10 kg load is hung from the wire how far…

A:

Q: Figure below shows a two-member truss supporting a block of weight W. The cross-sectional areas of…

A: Given that:- Cross sectional area of AB=800mm^2

Q: The illustrated belt is made of rubber (E= = 4 MPa) and has a thickness of 4 mm. It passes through a…

A: Given that,  Force, F=50 N Stress of the belt=200 kPa=200 ×10^(3) Pa Thickness of the belt, =4…

Q: . Calculate the work done in stretching a wire of diameter 1.2 mm and length 4 m by 0.2 m. Young's…

A: Diameter of wire D = 1.2 mm = 1.2 × 10-3 m Length of wire L = 4 m Change in length of wire ΔL = 0.2…

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).