Many caterpillars construct cocoons from silk, one of the strongest naturally occurring materials known. Each thread is typically 2.0 μm2.0 μm in diameter, and the silk has a Young's modulus of 4.0×109 N/m2.   Assuming that there is no appreciable space between the parallel strands, how many strands ? would be needed to make a rope 8.8 m long that would stretch only 1.10 cm when supporting a pair of 83-kg mountain climbers? ?=   strands Again assuming that there is no appreciable space between the parallel strands, what would be the diameter ? of the rope? ?=   cm

Q: Common sports injuries result in the tearing of tendons and ligaments due to overstretching. If the…

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Q: our biceps muscle is attached to your elbow by the distal biceps tendon. An average adults tendon…

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Q: A strand of dragline spider silk has a diameter of 6.0 μm, and can support a mass of 2.9 g.…

A: Required : Approximately how many copper wires would it take tosupport the same mass?

Q: The Young’s modulus for steel is at most 215 GPa (1 GPa= 109 N/m2).  If you apply a force of 50.0…

A: Given quantities: Young's modulus of steel (Y) = 215 GPa Applied force (F) = 50 GPa initial length…

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

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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 high-carbon steel wire, circular in cross-section, has a diameter of 14 mm. What is the force (in…

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Q: A 18 cm long tendon was found to stretch 5.4 mm by a force of 14.0 N. The tendon was approximately…

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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: Given that, Young's modulus of steel =2.0×1011 N/m2 Length of the wire  = 9.70 m Radius of the wire…

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

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Q: A tow truck is pulling a car out of a ditch by means of a steel cable that is 9.2 m long and has a…

A: Given that,The length of the steel cable : L = 9.2 (m)The radius of the steel cable : r = 0.50…

Q: Don't skip please

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

Q: A cylindrically shaped piece of collagen (a substance found in the body in connective tissue) is…

A: Force, F = 0.0398 N Length, L = 2.03 cm Radius, r = 0.0791 cm Y = 3.1x106 N/m2

Q: Many caterpillars construct cocoons from silk, one of the strongest naturally occurring materials…

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Q: Ropes for rock climbing have a diameter of 10.5 mm and a Young's modulus of 8.72x10 N/m2. If a rock…

A: Given: Diameter,d=10.5mm=10.5×10-3mRadius,r=5.25mm=5.25×10-3mYoung's…

Q: One end of a piano wire is wrapped around a cylindrical tuning peg and the other end is fixed in…

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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: A femur bone of length 30 cm and diameter 2.5 cm is subjected to a compressive tress of 1.5 *10…

A: Given: Stress σ=1.5×108N/m2Young's modulus (Y)=1.5×1010N/mLength L=30cmDiameter d=2.5cm

Q: A tow truck is pulling a car out of a ditch by means of a steel cable (Y = 2.0 × 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: A 0.600-mm diameter wire stretches 0.500% of its length when it is stretched with a tension of 20.0…

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

A: Given that the resting length is 40 mm, and the strain is 0.60. Therefore, from the expression of…

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

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Q: A tendon is subjected to tensile forces. The cross-sectional area of the tendon is 0.0002 m2. If the…

A: See below

Q: A glass optical fiber in a communications system has a diameter of 9.0 μm. What maximum tension…

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Q: A biomechanical model of the bones and biceps muscles of a person's arm supporting a mass m=2 kg is…

A: Stress is a quantity that describes the magnitude of forces that cause deformation. Stress is…

Q: A marble column with a cross-sectional area of (2.70x10^1) cm² supports a load of (5.500x10^4) N.…

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

A: Write the expression for young’s modulus of the material.

Q: A particular human hair has a Young's modulus of 3.31 x 10° N/m2 and a diameter of 145 um. If a 236…

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Q: A tow truck is pulling a car out of a ditch by means of a steel cable that is 9.2 m long and has a…

A: Given data: The length of the steel cable is L=9.2 m. The radius of the steel cable is R=0.50 cm.…

Q: A wire of length L , area of cross section A is hanging from a fixed support. The length of the wire…

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Q: Two bands of different composition were found in a room. Th have the same thickness and length, but…

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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: 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: steel wire 2.0 mm in diameter stretches by 0.029 % when a mass is suspended from it. The elastic…

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Q: Suppose that we have two hanging rods of the same length 2.8 m. However, their cross sections are a…

A: Given data: Radius of the cross-section (r) = 3.5 mm Side of the square cross-section (a) = 2*3.5…

Q: A helicopter is using a circular steel cable to lift a m = 2100-kg jeep. The unstretched length of…

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

Q: A spider silk line has a circular cross section. Its diameter is 7.14 micrometers. Its unstretched…

A: When  spider changes from the thread,  stress will be developed in it , whichbleads yo the expansion…

Q: A steel wire having a radius of 2.0 mm, carrying a load of 4kg, is hanging from a ceiling. Given…

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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).