In construction sites, you often see cranes using steel ropes that contain multiple strands of metal wires to lift heavy objects. In addition to their desired flexibility, is there any mechanical reason for choosing a bundle of wires instead of one solid rod with an equal cross-sectional area overall?

Q: Two 12-mm thick steel plates are fastened together as shown, by means of two 20-mm bolts that fit…

A: Given Steel plate thickness t  = 12 mm Diameter of the bolt d = 20 mm Force…

Q: The elevator in a vertical mine shaft is supported by a steel cable of cross-sectional area 3.20 x…

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Q: A steel cube of side length L = 0.5 m is subjected to a shearing force of 5000N along the top…

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

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Q: The dimensions of a rectangular block of brass (Young's modulus 9.0x1010 N/m², shear modulus…

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Q: As an oil well is drilled, each new section of drill pipe supports its own weight and that of the…

A: Given: The original length of the pipe is, L∘=6 m. The diameter of the pipe is, d=5 cm×10-2 m1…

Q: The ultimate strength of a metallic wire for tension is 2.0 x10^8 Pa. The wire was set up with a…

A: Given: s=2.0*108 Pad = 0.5 cm = 0.005 mM = 200 Kg

Q: Ropes for rock climbing have a diameter of 10.5 mm and a Young's modulus of 8.72x107 N/m². If a rock…

A: A material's ability to withstand length changes under longitudinal tension or compression is…

Q: The figure represents an insect caught at the midpoint of a spider-web thread. The thread breaks…

A: Given,breaking stress of the string, 9.2 ×108 N/m2strain, 2.00lengthh of the thread, L = 3.0 cmcross…

Q: During a wrestling match, a 110 kg wrestler briefly stands on one hand during a maneuver designed to…

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Q: (LO2-4) If b = 1 (i.e. the anchor side of the cable is at a 45° angle), what should be the slope a…

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Q: Young's modulus for copper is thousands of times greater than that of rubber. Two meter-sticks have…

A: Young's modulus for copper is greater than that of rubber.  Ycopper > Yrubber   The…

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: The yield strength of an alloy is 7.0 x 108 N/m? What is the minimum radius rmin of a 3.0 m long…

A: Given that - restoring normal force  Stress To Find - We have to determine the value of the…

Q: A 557-N force is applied to stretch a cable, 66-m long and has a cross-sectional area of 2.8 mm^2.…

A: Given F=557 N L=66m A=2.8 mm2 Y=1.0x10^11 N/m2

Q: The leg bone (femur) breaks under a compressive force of about 8.20 × 104 N for a human and 11.7 ×…

A: Compressive force for human bone ( F human ) = 8.20 × 104 N Compressive force for horse bone ( F…

Q: A wrought iron wedge 2 cm long and 9 mm wide is used to attach a pulley to a shaft held still. The…

A: The given conditions for the problem are: A wrought iron wedge 2 cm long and 9 mm wide is used to…

Q: A mass of 35.0 kg is suspended from a steel wire of diameter 1.00 mm and length 11.3 m. How much…

A: Given that,Mass : m = 35 (kg)Diameter of wire : d = 1 (mm)   Length of the wire : L = 11.3 (m)The…

Q: A bob of mass 30 kg hangs from a copper wire ( Y= 11x10 ^10 N/m^2). The wire has an initial length…

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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: Assume a human leg contains a 50cm long bone with an average cross section of 3cm2. By how much (in…

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Q: A 90 kg construction worker stands 2.0 m from the right end of a 6.0 m long, 600 kg steel beam as…

A: First we find the tension in the cable . The forces acting are shown below: where m1 is the mass of…

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 tunnel of length L = 130 m, height H = 9.4 m, and width 5.6 m (with a flat roof) is to be…

A: L = 130 m, height H = 9.4 m, and width 5.6 m (with a flat roof) is to be constructed at distance d =…

Q: A small rope has a linear mass density of 8.00 g/m and is tied to two vertical walls that are…

A: Question:Given:u = 8 g/mFigure:Find:(a) Velocity of Speed in terms of m equation(b) mass @ 65 m/s…

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: You hang a 30 kg mass from the end of a rod that is 12 m by 2 mm by 2 mm. You observe that the rod's…

A: To solve this problem, we need to use the concepts of stress and strain. Stress is defined as the…

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: The right end of a horizontal beam of mass 4kg and length 3.3m is fixed to a wall by a hinge. The…

A: This is a problem regarding the equilibrium of forces and torques. The figure for the problem can be…

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

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Q: After a fall, a 86 kg rock climber finds himself dangling from the end of a rope that had been 16 m…

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Q: After a fall, a 80 kg rock climber finds himself dangling from the end of a rope that had been 14m…

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Q: A vertical steel girder with a crosssectional area of 0.15 m2 has a 1550 kg sign hanging from its…

A: Given: Area of cross section A of the steel girder is 0.15 m2. Mass M hanging at the end is of 1550…

Q: Humans can bite with a force of approximately 792 N. If a human tooth has the Young's modulus of…

A: Force exerted (F) = 792 N Cross sectional area (A) = 1.3 cm2= 0.00013 m2Length of bone (L) = 1.7cm =…

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).