The largest tendon in the body, the Achilles tendon, connects the calf muscle to the heel bone of the foot. This tendon is typically 12.0 cm long, 5.30 mm in diameter, and has a Young's modulus of 1.65×109 Pa .If an athlete has stretched the tendon to a length of 12.7 cm, what is the tension ? , in newtons, in the tendon? ?=   N

Q: The pressure on a volume of liquid V= 1.6 m3 at the surface is approximately equal to the…

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Q: A horizontal aluminum rod 5.0 cm in diameter projects 4.8 cm from a wall. A 1400 kg object is…

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Q: We have a rod made of a certain metal. The rod’s length is L = 1.2 m and has a circular cross…

A: Given L = 1.2 m r = 3.2 mm m = 22 kg d = 2.5 mm we have to find out  Young’s modulus for this metal.

Q: The unknown metal cube measures 4.2 x 10 ― 2 m has a stress of 9.2 x 1011 N/m 2 and a change of…

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

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Q: A 2.5 meter metal column has a 4500kg load placed on it and it compresses 0.0016 meters.  If the…

A: The Young's modulus is given by, Y=stressstrain The stress is given by, stress=FA Here, F is the…

Q: "One end of a steel rod of radius R = 10mm and length L = 80 cm is held in a vise. A force of…

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Q: A 4.0 m steel beam with a cross sectional area of 1.0 x 10-2 m² and a Young's modulus of 2.0 x 1011…

A: Given:-  The length of the steel beam L = 4 m  The cross-sectional area of the beam is A = 1.0 x…

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

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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 ball has a radius of 1 meter. The Bulk modulus is 4.2 × 1010 N/m2. It is located on the surface of…

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Q: a) Figure Q2a shows a hollow tube of rectangular cross-section subjected to an axial compressive…

A: Write the given values with the suitable variables. P=250 kN=250×103 Nb=0.12 md=0.05 mt=0.003 m…

Q: A 1000-kg object hangs from the lower end of a steel rod 5.0 m long that is suspended vertically.…

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Q: A sphere of copper has a radius of 3.00 cm and is compressed uniformly by a force of 4.00 x 10° N.…

A: Given that, Force (F)= 4× 10⁸ N Radius (r)= 0.03 m Bulk modulus (k)= 140× 10⁹ N/m² Let the final…

Q: Q3/ For the beam and loading shown, determine the maximum normal stress due to bending. 150 kN 150…

A: Given that a beam with 90 kN/m UDL and two 150 kN load  to find the normal stress

Q: What is the compression in the tibia of length l = 30 cm of a person of mass m = 80 kg when standing…

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Q: A 1.05-m-long rod of negligible weight is supported at its ends by wires A and B of equal length…

A: Solution:-

Q: Calculate the Young's modulus for the given wire when a load of 2000 N is hung from the wire? The…

A: Write the equation for Young’s modulus of elasticity

Q: After a fall, a 87 kg rock climber finds himself dangling from the end of a rope that had been 15 m…

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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: An 1800-kg elephant is placed on top of an aluminum cylinder, 4.3 meters high. The area of the top…

A: height of cylinder (h) = 4.3 m Surface area (A) = 0.080 m2mass of elephant (m) = 1800 kg Young's…

Q: A steel wire, 3.2 m long, has a diameter of 1.2 mm. The wire stretches 1.6 mm when it bears a load.…

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Q: After a fall, a 110 kg rock climber finds himself dangling from the end of a rope that had been 15 m…

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Q: A horizontal aluminum rod 4.7 cm in diameter projects 4.4 cm from a wall. A 1100 kg object is…

A: Given: Diameter of aluminum rod, d=4.7 cm projects at a distance L= 4.4 cm from a wall. Mass of…

Q: 'One end of a steel rod of radius R = 10mm and length L = 90 cm is held in a vise. A force of…

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Q: A weight of (50kg) affects the lower end of a steel rod of length (80cm) and diameter (0.60cm). What…

A: Given: The mass of the weight is 50 kg. The length of the rod is 80 cm. The diameter of the rod is…

Q: A 2.50m long steel piano wire has a diameter of 0.50cm. How great is the tension in the wire if it…

A: Given:  Length of piano, L = 2.5 m  diameter of wire, d = 0.50 cm  radius of wire, r = 0.25 cm =…

Q: "One end of a steel rod of radius R = 10mm and length L = 80 cm is held in a vise. A force of…

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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: "One end of a steel rod of radius R = 10mm and length L = 100 cm is held in a vise. A force of…

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Q: Assume Young's modulus for bone is 1.50 x 1010 N/m2. The bone breaks if stress greater than 0= 62780…

A: Young's modulus for the bone,  Breaking stress,  Effective radius of the bone,

Q: A 0.50 m long guitar string, of cross- sectional area 1.0 x10-6 m2, has a Young’s modulus of 2.0x…

A: Given : L = 0.50 m A = 1 × 10-6 m2 Y = 2 × 109 Pa F = 20.0 N

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: A steel cable of diameter 2 cm is acted upon by 50000 N of tension. If Young’s modulus is 20 x 1010…

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Q: A 480 mm long thighbone (femur), which is the largest and longest bone in the human body, has a…

A: Given that  young modulus = 15x 108 N/m2 length of femur = 480 mm =0.480 m cross sectional area =…

Q: "One end of a steel rod of radius R = 10mm and length L = 90 cm is held in a vise. A force of…

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Q: A solid steel sphere with a radius of 2.0 m falls off a ship and sinks to a depth where the pressure…

A: Given : radius, r= 2 m  Pressure, P = 15 MN/m2 = 15 × 106 N/m2  Bulk modulus, B=1.6×1011 N/m2  Find…

Q: The bone breaks if stress greater than 1.50 x 10⁸ N/m2 is imposed on it. (a) What is the maximum…

A: (a) Allowable stress for bone: σ=1.50×108 N/m2 Diameter of bone: d=5.87 cm=0.0587 m Expression of…

Q: 6. What is the compression in the tibia of length /= 30 cm of a person of mass m = 80 kg when…

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Q: Calculate the Young's modulus for the given wire when a load of 2000 N is hung from the wire? The…

A: The Young's modulus is given by  Y = F LA l where, F is the force, L is the original length, A is…

Q: 1. a. A copper sphere has a radius of 2.50 m under normal room pressure of 1.0 × 105 N/m2. If we…

A: a) Determine the volume of the sphere.

Q: A material rod that is 4.00 m long and 0.50 cm2 in cross- section area is found to stretch 0.20 cm…

A: The Young's Modulus, Y=Fl0A∆l

Q: One end of a steel rod of radius R = 10mm and length L = 90 cm is held in a vise. A force of…

A:

Q: After a fall, a 110 kg rock climber finds himself dangling from the end of a rope that had been 15 m…

A: Given,           massm= 110kg     Length of ropel= 15m     diameterd= 9.9×10-3m=9.9 mm    change in…

Q: A weight of 125 Newton is attached to a brass wire of 7.5 meters long. Young's modulus for brass is…

A: Given data: Weight of the load P=125N Length of the wire L=7.5m Radius of the wire r=0.7mm Young's…

Q: A man with a mass of 71.6 kg stands on one foot. His femur has a cross-sectional area of 8.00 cm2…

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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).