A homogeneous bar, of mass m = 100kg, is suspended from three symmetrically located vertical wires of the same length. Determine the tension of the wires, if the middle wire is steel and the other two are copper. The cross-sectional area of ​​all the wires is equal. The Young's modulus of steel is twice that of copper.

Q: A 61 cm long copper wire is clamped at one end and a stone weighing 2.2 kg is attached to the other…

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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: Normal forces of magnitude 1.0 × 106 N are applied uniformly to a spherical surface enclosing a…

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Q: What is the maximum load that could be suspended from a copper wire of length 1.00 m and radius 1.08…

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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 a…

A: Given : L = 50 m ∆L = 1 cm = 0.01 m m = 70 kg Y = 3.51 x 109 N/m2

Q: One end of a brass wire 120 cm long and a diameter of 0.24 cm is fastened to a point in the ceiling.…

A: Length of wire l=120 cm, diameter of the wire d=0.24 cm (radius r=d/2=0.12 cm), weight of the body…

Q: In regions of the cardiovascular system where there is steady laminar blood flow, the shear stress…

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Q: If the elastic limit of copper is 1.50 x 108 N/m2, determine the minimum diameter a copper wire can…

A: Given- If the elastic limit of copper is 1.50 x 108 N/m2, determine the minimum diameter a copper…

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 wire in a musical instrument has a radius of (0.3 mm). When the wire is under a…

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Q: A solid copper cube has an edge length of 86.9 cm. How much stress must be applied to the cube to…

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Q: The bulk modulus of a material is 1.0 × 1011 N/m2. What fractional change in volume does a piece of…

A: Given Data: The bulk modulus is, β=1.0×1011 N/m2 The increase in bulk stress is, Δp=107 N/m2   The…

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 metal wire 1.0 mm in diameter and 2.0 m long hangs vertically with a 6 kg mass suspended from it.…

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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: A solid copper cube has an edge length of 86.9 cm. How much stress must be applied to the cube to…

A: Write the given values with the suitable variables. L1=86.9 cmL2=86 cmk=1.4×1011 N/m2 Here, L2, L1,…

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

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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 20 kg chandelieris suspended from the ceiling by four vertical steel wires. Each wire has an…

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Q: A solid copper cube has an edge length of 89.9 cm. How much stress must be applied to the cube to…

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 85.9 cm. How much stress must be applied to the cube to…

A: Given: length of cube l = 85.9 cmfinal length =86cmchange in length ∆l = 86-85.9 = 0.1 cmBulk…

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: A copper wire of length 7.9 m , cross sectional area 2 x 10-m²and Young's modulus 11 x 1010 N/m² has…

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Q: A large 75-kg lighting fixture can be hung from wires of identical size and shape made of aluminum,…

A: Given: The mass is 75 kg. The Young's modulus of aluminum is 0.70x1011 Pa. The Young's modulus of…

Q: A horizontal aluminum rod 3.0 cm in diameter projects 3.9 cm from a wall. A 870 kg object is…

A: Given:- Diamtere of the rod = 3.0 cm  The radius of the rod is = 3/2=1.5 cm =1.5 X 10-2 m Length of…

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

A:

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

A:

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.…

A:

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: A solid copper cube has an edge length of 89.6 cm. How much stress must be applied to the cube to…

A:

Q: A solid copper cube has an edge length of 85.5 cm. How much stress must be applied to the cube to…

A: We know, Now,

Q: In regions of the cardiovascular system where there is steady laminar blood flow, the shear stress…

A: Convert the shear stress on cells in N/m2.

Q: A 195-kg load is hung on a wire of length of 3.80 m, cross-sectional area 2.00  10-5 m2, and Young's…

A: According to stress by strain relation , stress is defined as the product of Young's modulus to the…

Q: A solid copper cube has an edge length of 81.9 cm. How much stress must be applied to the cube to…

A: Given  Initial length l1 = 81.9 cm = 0.819 m  Final length l2  = 81 cm = 0.81 m  Bulk modulus B =…

Q: A 1.0 x 10-3 kg spider is hanging vertically by a thread that has a Young’s modulus of 4.5 x 109 N/m…

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Q: A 439 kg load is hung on a wire of length 9 m, cross-sectional area 0.200 x 10–4 m2, and Young's…

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Q: A solid copper cube has an edge length of 93.8 cm. How much stress must be applied to the cube to…

A: Given Initial length of the copper cube is li=93.8 cm=0.938 m Final length of the copper cube is…

Q: A solid copper cube has an edge length of 89.8 cm. How much stress must be applied to the cube to…

A:

Q: A copper wire of length 3-m and 1-mm diameter is subjected to a tension of 5-N. Calculate the…

A: Given: The length of the wire is 3 m. The diameter of the wire is 1 mm. The tenson in the wire is 5…

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

A:

Q: A solid copper cube has an edge length of 89.5 cm. How much stress must be applied to the cube to…

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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…

A:

Q: When water freezes, it expands by about 9.00%. What would be the pressure increase inside your…

A: Given ∆VV=0.09 Bulk modulus (B)=2.0*109 N/m2 Required ∆P=?

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).