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: 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…

A:

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

A:

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

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

A:

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: 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…

A:

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

A:

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…

A:

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).