A 1.2 x 10-³-kg house spider is hanging vertically by a thread that has a Young's modulus of 4.4 x 109 N/m² and a radius of 18 x 10¹6 m. Suppose that a 65-kg person is hanging vertically on an aluminum (Young's modulus 6.9 x 1010 N/m²) wire. What is the radius of the wire that would exhibit the same strain as the spider's thread, when the thread is stressed by the full weight of the spider? Number i Units

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

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Q: A horizontal aluminum rod 3.9 cm in diameter projects 5.5 cm from a wall. A 1100 kg object is…

A: a) Determine the shear stress of the rod.

Q: shear stress on the rod

A: Given: Diameter of aluminum rod is d=2.9 cm Distance from the wall is L=7.8 cm Mass of object is…

Q: A 226-N object is hung from the end of a wire of cross-sectional area 0.03 cm-. The wire stretches…

A: Given: Force,F=226NArea,A=0.03cm2=0.03×10-4m2Length,L=150cm=150×10-2mChange in…

Q: An 9.63-kg stone at the end of a steel (Young's modulus 2.0 x 1011 N/m²) wire is being whirled in a…

A: The strain in the wire is strain=LΔL​=2.43×10−4Explanation:Step 1: Given- The mass of the stone is…

Q: A horizontal aluminum rod 3.1 cm in diameter projects 4.6 cm from a wall. A 940 kg object is…

A: Given : Diameter of horizontal aluminum rod, d = 3.1 cm = 0.031 m Radius of the horizontal aluminum…

Q: In regions of the cardiovascular system where there is steady laminar blood flow, the shear stress…

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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 horizontal aluminum rod 4.7 cm in diameter projects 5.6 cm from a wall. A 1100 kg object is…

A:

Q: A 0.800 m-long metal wire has a circular cross section of diameter 0.900 mm. One end of the wire is…

A: Given that, Length of the wire(L)= 0.8 m Diameter (d)= 0.9× 10-³ m So, radius (r)= (0.9×10-³)/2=…

Q: Question: A horizontal aluminum rod 4.8 cm in diameter projects 5.3 cm from a wall. A 1200 kg object…

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Q: H = 8 cm L = 4 cm α = 50° t = 5 mm The strain value of the structure in the same direction as a…

A: Write the given values of this problem. H=8 cmL=4 cmα=50T=5 mm∈x=0.26 mm/mm

Q: A man with a mass of 70.5 kg stands on one foot. His femur has a cross-sectional area of 8.00 cm and…

A: mass of man (m) = 70.5 kg weight (w) = m×g = 70.5×9.8= 690.9 N Cross sectional area of femur (A) = 8…

Q: What is the compressive stress F/A on a woman's feet, in units of kilopascals (kPa) , if the woman's…

A: Given Data: The mass of a woman is, m=52.0 kg The area of each shoe is, A=185.0 cm2   The effective…

Q: After a fall, a 71 kg rock climber finds himself dangling from the end of a rope that had been 15 m…

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Q: A copper wire of length 7.9 m, cross sectional area 2 x 10 m²and Young's modulus 11 x 1010 N/m has a…

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Q: A solid copper cube has an edge length of 89.6 cm. How much stress must be applied to the cube to…

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Q: A horizontal aluminum rod 3.6 cm in diameter projects 5.6 cm from a wall. A 1000 kg object is…

A: Given:-  A horizontal aluminum rod of diameter d = 3.6 cm = 0.036 m  The distance from the wall is L…

Q: After a fall, a 97 kg rock climber finds himself dangling from the end of a rope that had been 16 m…

A: Length of the rope,  L = 16 m = 16 x 102 cm Change in length of the rope, ∆L = 3.3 cm  Strain is…

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: An 11.2-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: 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 1.8 x 10-3-kg house spider is hanging vertically by a thread that has a Young's modulus of 4.0 x…

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: A 1.2 x 10-3-kg house spider is hanging vertically by a thread that has a Young's modulus of 4.4 x…

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Q: The figure shows an approximate plot of stress versus strain for a spider-web thread, out to the…

A: We  have,  stress=forcearea and                strain=change in lengthoriginal lengthHence,  work…

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

A:

Q: A steel wire of length 1.97 m with circular cross section must stretch no more than 0.240 cm when a…

A:

Q: A student performed an experiment to examine the stress-strain properties for two elastic objects…

A: Here given two elastic object. One of young modulus is 600Mpa and another 2300 MPa. We have to…

Q: A horizontal aluminum rod 3.2 cm in diameter projects 7.6 cm from a wall. A 1100 kg object is…

A:

Q: Humans can bite with a force of approximately 795 N. If a human tooth has the Young's modulus of…

A: Young's modulus is defined as the ability of a material to withstand the change in length due to…

Q: A horizontal aluminum rod 3.9 cm in diameter projects 5.5 cm from a wall. A 1200 kg object is…

A:

Q: A sphere of copper has a radius of 8.00 cm and is compressed uniformly by a force of 5.00 × 108 N.…

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Q: Consider a cylindrical cable with a hanging weight suspended from it. a)When the mass is removed,…

A: Young modulus is the ratio between stress and strain. It is parameter of stiffness of a material.

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

A: The relation between stress and strain is given by  Y=stressstrain Where Y is the Young's modulus of…

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).