A steel wire of length 1.97 m with circular cross section must stretch no more than 0.240 cm when a tensile (stretching) force of 420 N is applied to each end of the wire. What minimum diameter (dmin) is required for the wire? Express your answer in millimeters. Take Young's modulus for steel to be Y = 2.00×1011 Pa .

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: A cylindrical rod having a cross sectional area of 20 mm2 is pulled in a tension and this is the…

A: Dear student According to Hook's Law, the Stress is directly proportional to Strain. So Young's…

Q: Steel beams are used for load bearing supports in a building. Each beam is 4.0 m long with a…

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Q: Find the force required to stretch a 1.0 m steel wire of diameter 3.2 mm by 10.0 mm. Given the…

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Q: A stainless-steel orthodontic wire is applied to a tooth, as in Figure P9.72. The wire has an…

A: the expression for force is,

Q: 29. A steel wire of length 2.0 m and diameter 1.01 mm is fixed at its upper end and its lower end…

A: The given data are: L=2 md=1.01 mm=1.01×10-3 mm=400 g=0.4 kgE=2×1011 Pa Here, L denotes the length,…

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: You have a 15 cm^3 block of copper that you wish to make into a cylindrical wire. If the Young's…

A: stiffness of wire is given by, k=A ELwhere V=ALA=VLNow,k=VEL2

Q: A solid copper cube has an edge length of 88.3 cm. How much stress must be applied to the cube to…

A: Original length (L) = 88.3 cm New length (L') = 88 cm

Q: A 2 m long steel rod has a cross-sectional area of 0.3 cm?. The rod is a part of a vertical support…

A: The stress of the rod is given by F/A Strain is given by dL/L                    where F= Force…

Q: Two solid cylindrical rods (1) and (2) are joined together at flange B and loaded, as shown. If the…

A: To find minimum diameter for each rod use the formula of normal stress and put the values to solve .…

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Q: A nylon string on a tennis racket is under a tension of 275 N. If the string's radius is 5.00 x 10-4…

A: The equation for the change in length can be obtained from equation for the Young’s Modulus as

Q: A 50-N force is applied to a metal rod with a length of 10 m and a cross- sectional area of 1.0 x…

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Q: A solid copper cube has an edge length of 82.4 cm. How much stress must be applied to the cube to…

A: Write the given values with the suitable variables. L1=82.4 cm=0.824 mL2=82 cm=0.82 mK=1.4×1011 N/m2…

Q: Is thrée times larger than in steel shaft. QI1) For the section shown aside, if the bending stress…

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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…

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A: The ratio of volumetric stress with volumetric strain is defined as the bulk modulus. To solve the…

Q: A solid copper cube has an edge length of 81.6 cm. How much stress must be applied to the cube to…

A: Given: L=81.6 cmL'=81.0 cmB=1.4*1011 N/m2

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Q: Find the minimum diameter of a (50 m)- long nylon string that will stretch no more than (1 cm) when…

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Q: A stainless-steel orthodontic wire is applied to a tooth, as in Figure P9.14. The wire has an…

A: Given: L = 3.1 cm = 3.1 x 10-2 m  radius, r = 0.11 mm = 0.11 x 10-3 m  l = 0.1 mm = 1 x 10-4 m  Y =…

Q: Steel beams are used for load bearing supports in a building. Each beam is 4.0 m long with a…

A: Given: Length of each beam, L=4 m Area of cross-section,A=7.5×10-3 m2 Load, W=4.5×104 N Young's…

Q: What is the stress for a wire of 5 m long so that the strain is 2% of 0.2? The cross-sectional area…

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Q: solid copper cube has an edge length of 81.3 cm. How much stress must be applied to the cube to…

A: Given  Initial length l1 = 81.3 cm = 0.813 m  Final length l2  = 81 cm = 0.81 m  Bulk modulus B =…

Q: A steel wire of length 2.10 m with circular cross section must stretch no more than 0.300 cm when a…

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Q: A solid copper cube has an edge length of 88.9 cm. How much stress must be applied to the cube to…

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Q: Consider a steel bolt as a cylinder with a diameter of 3.41 cm and length of 13.8 cm. A shear or…

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Q: A mass of 3000 kg hangs at the end of a steel rod 5.0 meters in length.  The area of the cross…

A: Given Data: The mass of a steel rod is, m=3000 kg The actual length of a rod is, l=5 m The…

Q: A compressive force of 3.1 × 10ª N is exerted on the end of a 23-cm-long bone of cross-sectional…

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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 shear force of 2300 N is applied on a cube of side length 0.50 m, causing it to deform through an…

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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: 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

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A: When a force is applied at the end of the material gets deformed and the molecules of the material…

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Q: A solid body of mass 200kg hanging from a steel. Wire 5m long, and cross section 0.08 cm^2. The wire…

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Q: A man with a mass of 75.2 kg stands on one foot. His femur has a cross-sectional area of 8.00 cm^2…

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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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Q: A solid copper cube has an edge length of 87.9 cm. How much stress must be applied to the cube to…

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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).