After a fall, a 80 kg rock climber finds himself dangling from the end of a rope that had been 14m long and 7.1 mm in diameter but has stretched by 2.2 cm. For the rope, calculate (a) the strain, (b)the stress, and (c) the Young's modulus.

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Q: After a fall, a 88 kg rock climber finds himself dangling from the end of a rope that had been 16 m…

A: mass of climber = 88 kg Length of rope = 16 m diameter of rope = 8.5 mm radius of rope = 4.25 mm =…

Q: After a fall, a 95 kg rock climber finds himself dangling from the end of a rope that had been 15 m…

A: Given:  mass, m = 95 kg  length of rope, L = 15 m  diameter of rope , d = 9.6 mm  extension in…

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Q: After a fall, a 85 kg rock climber finds himself dangling from the end of a rope that had been 18 m…

A: Given Data Mass of the rock climber is m=85 kg Length of the rope is l=18 m Diameter of the rope is…

Q: A heavy crate with weight 4900 N hangs from a thick nylon rope. The rope has a cross-sectional area…

A: Solution: Given that Weight W = 4900 N Area A = 1.4x10-4 m2 youngs modulus E =3.7x109 N/m2

Q: After a fall, a 84 kg rock climber finds himself dangling from the end of a rope that had been 13 m…

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Q: After a fall, a 73 kg rock climber finds himself dangling from the end of a rope that had been 17 m…

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Q: An 11.0-kg stone at the end of a steel (Young's modulus 2.0 x 1011 N/m²) wire is being whirled in a…

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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 19 m…

A:

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: After a fall, a 89 kg rock climber finds himself dangling from the end of a rope that had been 12 m…

A:

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

A:

Q: After a fall, a 100 kg rock climber finds himself dangling from the end of a rope that had been 13 m…

A: mass of rock climber (m) = 100 kg Length (L) = 13 m diameter = 9.5 mm amount of stretch in the rope…

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A:

Q: A child slides across a floor in a pair of rubber-soled shoes. The friction force acting on each…

A: Shear modulus is the ratio of shear stress to the shear strain. Using the equation for shear…

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Q: After a fall, a 73 kg rock climber finds himself dangling from the end of a rope that had been 17 m…

A: This problem requires following formula to be used. a)Strain is ratio of stretched length to…

Q: After a fall, a 88 kg rock climber finds himself dangling from the end of a rope that had been 14 m…

A:

Q: A child slides across a floor in a pair of rubber-soled shoes. The friction force acting on each…

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A: mass= 85 Kg Length, L= 21 m radius, r= 4.8 mm ∆L= 3.2 cm

Q: After a fall, a 89 kg rock climber finds himself dangling from the end of a rope that had been 15 m…

A:

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

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Q: A child slides across a floor in a pair of rubber-soled shoes. The frictional force acting on each…

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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: Nylon breaks when the tensile stress within it reaches 1.0 x 10 ’ Pa. Which range below includes the…

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Q: After a fall, a 90 kg rock climber finds himself dangling from the end of a rope that had been 16 m…

A: Part (a) extension or change in length= 3.3cm = 0.033 m  length = 16m  Strain = change in length ÷…

Q: After a fall, a 84 kg rock climber finds himself dangling from the end of a rope that had been 13 m…

A:

Q: After a fall, a 88 kg rock climber finds himself dangling from the end of a rope that had been 12 m…

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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 19 m…

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Q: For safety in climbing, a mountaineer uses a nylon rope that is 65 m long and 1.5 cm in diameter.…

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Q: After a fall, a 84 kg rock climber finds himself dangling from the end of a rope that had been 13 m…

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Q: 12 mm -75 mm-| |–12 mm 12 mm 75 mm 250 mm D H|-12 mm

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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 14 m…

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: The normal force of the ground on the foot can reach three times a runner's body weight when the…

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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).