A wire is 4.00 m long and has a diameter of 0.40 cm. When a 100 kg mass is suspended from the wire, the wire is stretched by 6.00 mm. If the load is pulled down a small additional distance and released, find the frequency at which it vibrates. Compute Young's modulus for the wire.

Q: A (2 m)-long steel wire in a musical instrument has a radius of (0.3 mm). When the wire is under a…

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Q: The elevator in a vertical mine shaft is supported by a steel cable of cross-sectional area 3.20 x…

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Q: A steel wire of length 4.7 m and cross-sectional area 3.0 × 10-5 m2stretches by the same amount as a…

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Q: Find the minimum diameter of an | = 15.1 m long tungsten wire that will stretch no more than 7.00 mm…

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Q: A circular metal column is to support load of 500 Tonne and it must not compress more than 0.1 mm.…

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Q: An extremely expensive piece of spider silk is 2.5 m long and 0.5 mm in diameter is anchored to the…

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Q: A 9 16 -in.-diameter steel rod is tested in tension and elongates 0.00715 in. in a length of 8 in.…

A: Let the Diameter of rod (d) = 9.16 inch d = 0.23 metre length (l) = 8 inch  l =  0.20 metre mass (m)…

Q: A 200-kg load is hung on a wire of length 4.00 m, cross-sectional area 0.200 x 10-4 m2, and Young's…

A: Given Data: Mass,   Wire length,   Cross-sectional area,   Young’s modulus,   Standard Data Used:…

Q: A 215-kg load is hung on a wire of length of 3.30 m, cross-sectional area 2.000*10-5 m2, and Young's…

A: Given data: Mass (m) =215-kg Length (L) = 3.30 m cross-sectional area (A) =2.000*10-5 m2 Young's…

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

A: Write the expression for young’s modulus of the material.

Q: A rubber band got extended to 15 cm when you apply a force of 10 N. If its original length was 10…

A: Given force F =10N and extended band length is L'  =15cm and original length is L=10cm thickness…

Q: A cube with 2.0 cm sides is made of material with a bulk modulus of 4.7 x 10³ N/m². When it is…

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Q: A wire of length “Lo” and cross-sectional area S supports a weight W vertically. a) This fine wire…

A: Given dataA wire of length Locross-sectional area Sa weight W vertically. Step 1:From Hooke's Law,…

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

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Q: Artificial diamonds can be made using high-pressure, hightemperature presses. Suppose an artificial…

A: Bulk modulus is given by

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Q: A HOMEWRK-1: The average cross-sectional area of leg 3 cm² and all of body weight 700 N supported of…

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Q: *65. ssm Two rods are identical in all respects except one: one rod is made from aluminum and the…

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Q: The radius of a copper bar is 4 mm. What force is required to stretch the rod by 20% of its length…

A: Given,  Radius of copper bar =4mm. The rod stretches by 20 percent. Y =12*1010 N/m2 . We have to…

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: A 16.3 cm long tendon is found to stretch 2.11 mm when a force of 18.8 N is applied to it. If the…

A: Given value--- initial length = 16.3 cm. change in length = 2.11 mm. Force = 18.8 N . diameter =…

Q: A 5.73 kg pipe is hung from a steel wire that is 2.96 long and has a diameter of 0.839 mm. Young's…

A: Write the expression for the stress and substitute the corresponding values. σ=PAσ=mgπ4d2σ=(5.73…

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).