A piano wire 0.82 m long and 0.93 mm in diameter is fixedon one end. The other end is wrapped around a tuning peg3.5 mm in diameter. Initially the wire, whose Young’s modulusis 2.4 * 1010 N>m2, has a tension of 14 N. Find the tension in thewire after the tuning peg has been turned through one completerevolution.

Q: *0.2 cm. If the height of the plate is 0.4 cm what is the displacement x? S= N/m².

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

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Q: A bending moment of 262 Nm is applied to a solid bone with a radius of 1.9 cm. Calculate the bending…

A: Given data: Bending moment, M=262 Nm Radius of the solid bone, r=1.9 cm=1.9×10-2 m Distance from…

Q: A farmer making grape juice fills a glass bottle to the brim and caps it tightly. The juice expands…

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Q: A block of mass M = 9 kg is tied to a homogeneous rope of length m = 1 kg L = 1 m. F = 100 N. What…

A: Given: The mass of the block M = 9 kg. The mass of the rope m = 1 kg. The length of the rope L = 1…

Q: A cylindrical steel wire that is 2 m long must stretch no more than 0.25 cm when the applied tensile…

A: The objective of this question is to find the minimum cross-sectional radius of a cylindrical steel…

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: Find the minimum diameter of a (50 m)-long nylon string that will stretch no more than (1 cm) when a…

A: Given : L = 50 m ∆L = 1 cm = 0.01 m m = 70 kg Y = 3.51 x 109 N/m2

Q: A uniform rope of cross-sectional area 0.50 cm2 breaks when the tensile stress in it reaches 6.00 ×…

A: Given The cross-sectional area of the rope is A = 0.50 cm2 = 0.50 x 10-4 m2. The tensile stress is σ…

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: 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: A cylindrical aluminum rod, with an initial length of 0.8769 m and radius 996.0 µm, is clamped in…

A: Given initial length of cylindrical aluminum rod Li = 0.8769 m initial radius of cylindrical…

Q: A solid copper cube has an edge length of 89.3 cm. How much stress must be applied to the cube to…

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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 farmer making grape juice fills a glass bottle to the brim and caps it tightly. The juice expands…

A: thank you

Q: A solid copper cube has an edge length of 86.9 cm. How much stress must be applied to the cube to…

A: Write the given values with the suitable variables. L1=86.9 cmL2=86 cmk=1.4×1011 N/m2 Here, L2, L1,…

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: Two cylindrical rods, one steel (Y = 2.00×10" Pa) and the other copper (Y = 1.10×10" Pa), are joined…

A: SOlution: Given that Steel, Y = 2x1011 Pa copper, Y = 1.1x1011 Pa Steel, L =1.3 m Copper ,L =2.6 m…

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

A: Given that,    Radius of wire, r=2 mm=2×10-3 m,    Weight of load, m=4 kg,  g=3.1π ms-2

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

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Q: A 10.2 m long wire with a cross-sectional area of 0.126 cm2 stretches by 0.196 cm when a tensile…

A: The given values are, L=10.2 mA=0.126 cm2=0.126×10-4 m2∆L=0.196 cm=0.196×10-2 mF=6250 N

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

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Q: A solid copper cube has an edge length of 86.7 cm. How much stress must be applied to the cube to…

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Q: A solid copper cube has an edge length of 80.8 cm. How much stress must be applied to the cube to…

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Q: An elevator is suspended by a steel cable of diameter 2.5cm. The steel has an ultimate tensile…

A: Given, Diameter =2.5 cm Ultimate tensile strength is 860Mpa Let T denote tension in the cable and a…

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 =…

Q: A circular steel wire 2.4m long must stretch no more than 0.24cm when a tensile force of 420 N is…

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Q: Humans can bite with a force of approximately 807 N. If a human tooth has the Young's modulus of…

A: The equation for Young's modulus is given by, Y=σe  (1) Here, σ is the stress and e is the strain.…

Q: One model of the length LACL of a person's anterior cruciate ligament, or ACL, relates it to the…

A: The linear equation                        Lacl = 0.04606h - (41.29mm)

Q: The steel structure shown in the figure is loaded with 60 kN at point D. All the joints use a…

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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: The homogenous bar shown is supported by a smooth pin at C and a cable that runs from A to B…

A: Given data: The diameter of the cable is d=0.6 in The weight of the bar is w=6000 lb

Q: A solid copper cube has an edge length of 89.9 cm. How much stress must be applied to the cube to…

A:

Q: A 10.2 m long wire with a cross-sectional area of 0.126 cm? stretches by 0.196 cm when a tensile…

A: The young's modulus of the material is a fundamental property that depends upon the temperature and…

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

A: The objective of the question is to find the number of silk strands needed to make a rope that can…

Q: A 330 gram ball is attached to one end of a rubber (Young's Modulus= 0.120 GN/m2) wire of diameter…

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Q: During a tensile strength experiment, a small diameter fibre is elongated by a force of 0.0250 N.…

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Q: Assume a person's mass is 62.0 kg and each of her shoes has an area of 220 cm?. F What is the…

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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: Given:The mass of man, m = 68.3 kgThe area of femur, A = 8 cm2 = 8×10-4 m2The length which is…

Q: determine the change in the tooth's length

A: Given data:     The force applied during bite is: F = 796 N The cross-sectional area of tooth is: A…

Q: A spider of mass 6.3  10-4 kg hangs from a 70.9 cm long thread whose diameter is 2.0  10-3 mm.…

A: The stress is given by, σ=FA Here, F is the force and A is the area of cross-section. The force is…

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).