A mineshaft has an ore elevator hung from a single braided cable of diameter 2.5 cm. Young’s modulus of the cable is 10 x 1010 N/m2. When the cable is fully extended, the end of the cable is 800 m below the support. How much does the fully extended cable stretch when 1000 kg of ore is loaded?

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A: a) for tension T in string balancing torque about hinge  T Sin(52.8°-23.6°) L = (MgLCos52.8°) +…

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Q: A 100 N picture hangs from a nail in the wall. The diameter of the nail is 3.00 mm. The shear stress…

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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…

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Q: A tow truck is pulling a car out of a ditch by means of a steel cable (Y = 2.0 x 1011 N/m2) that is…

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Q: The boom in the figure is 2m long and weighs 100 N. If the 800N load is suspended 50cm from the end,…

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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 a= 15086…

A: Given, Young's modulus = Stress =  Radius = 0.01 m

Q: For safety in climbing, a mountaineer uses a nylon rope that is 55 m long and 1.5 cm in diameter.…

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Q: An aluminum (ρ = 2.7 g/cm3) wire is suspended from the ceiling and hangs vertically. How long must…

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Q: What is the tension force in the wire shown below if it stretches 0.35 cm when tightened if young's…

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Q: When a tension is applied to an aluminum wire it stretches 0.1 m. The initial length of the wire is…

A: The solution can be given as follows :-

Q: The system in the figure is in equilibrium. A concrete block of mass 180 kg hangs from the end of…

A:

Q: 20. A 20-m long steel wire (cross-section 1.0 cm2, Young's modulus 2.0 x 10I N/m²), is subjected to…

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Q: What is the tension force in the wire shown below if it stretches 0.35 cm when tightened if young's…

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Q: A particular human hair has a Young's modulus of 3.65×109 N/m2 and a diameter of 155 μm. If a 259 g…

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Q: A mine elevator is supported by a single steel cable 2.5 cm in diameter. The total mass of the…

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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…

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Q: Masses M1 and M2 are supported by wires that have equal lengths when unstretched. The wire…

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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).