Bone has a Young’s modulus of 18 × 109 Pa. Under compression, it can withstand a stress of about 160 × 106 Pa before breaking. Assume that a femur (thigh bone) is 0.50 m long, and calculate the amount of compression this bone can withstand before breaking.

Q: The second  floor  portion  of  a  house  is  about  to  break  down,  so  it  was  propped  up by…

A: The young's modulus is given as Y=FLA∆L…

Q: 3) A 1.6 m long wire has a diameter of 0.2 cm . What is the tension force in the wire if the…

A: Given that Original length of wire L = 1.6 m Diameter D = 0.2 cm So, radius r = 0.1 cm = 0.001 m…

Q: A small cylinder of copper has length 0.400 m and cross-sectional area of 3.00 ✕ 10−3 m2. The…

A:

Q: A brass rod 5ft long with a square cross section 0.5 inch on a side is used to support a 520-lb load…

A: B=F/AL'/L=FLL'AL'=FLBA F is the load L is the original length B is the bulk modulus A is the cross…

Q: A rubber pad for a machine mounting is to carry a load of 5 kN and to compress 5 mm under this load.…

A: Since you have asked 2 different questions, I am answering the first question. If you need the…

Q: A 45 kg boy whose leg bones are 5 cm² in area and 50 cm long falls through a height of 2 m without…

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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 cube with original edges of L=3.5 cm long is made of material with a bulk modulus of 8.8*10^9…

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Q: A rubber band 20 cm long has a cross-sectional area of 0.04cm^2. What load (in dynes) will stretch…

A: Given data: The length of the rubber band is L = 20 cm. The cross-sectional area of the rubber band…

Q: What is the area of the stock file if a 1.5 x 10 5kg mass presses down 2.5 feet high stock file that…

A:

Q: A 3800N load is hung on the end of an 18-m steel wire. What must be its diameter so that the stretch…

A: Given: The load is 3800 N. The length of the wire is 18 m. The elongation in the wire is 9 mm.…

Q: A rubber band 20 cm long has a cross-sectional area of 4 mm?. What load will stretch the rubber band…

A: Given data: Length of the rubber band, L=20 cm = 0.20 m Cross section area of the band, A=4…

Q: A 200 kg load is hung on a wire of length 4.00 m, cross-sectional area of 0.200×10^-4 m^2 and…

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Q: Assume a hand has a 1.4m shaft of bone with an average cross-sectional area of 3 [cm] ^2. What is…

A:

Q: A 50-kg bucket of concrete is suspended from a steel wire that is 1.0 mm in diameter 1.0 mm and 11.2…

A:

Q: A support beam has a length of 75 cm, width 35 cm and 50 cm thickness. What is the weight which the…

A: Given: Young's modulus, Y=2.0×1011 N/m2, Initial length of the beam, l0=75 cm = 0.75 m,…

Q: A cubic industrial material whose one side is of length 2.0 cm has a bulk modulus of 4.7 x 10^5…

A:

Q: A small cylinder of copper has length 0.600 m and cross-sectional area of 2.20 ✕ 10−3 m2. The…

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Q: An unknown block has shear modulus 8.0x 106 N/m 2 is used to stop cars at the end. The shearing…

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Q: In a structure you need to place a 7.8 m steel wire that does not stretch more than 8.5 cm when a…

A: Write the given values with suitable variables. L0=7.8 mΔL=8.5 cm=0.085 mF=391.6 NE=20×1010 N/m2…

Q: In a structure you need to place a 7.8 m steel wire that does not stretch more than 8.5 cm when a…

A:

Q: A rubber band 20 cm long has a cross-sectional area of 4mm^2. What load will stretch the rubber band…

A: ΔL=Elongation of rubber band=1 mm=1×10−3 mF=LoadA=Cross-sectional area=4 mm2=4×10−6 mE=Modulus of…

Q: 2. A 4.0 m long copper wire of cross-sectional area 2 2 cm is stretched by a force of 4.8 x 10° N.…

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Q: A 2.50m long steel piano wire has a diameter of 0.50cm. How great is the tension in the wire if it…

A: Given:  Length of piano, L = 2.5 m  diameter of wire, d = 0.50 cm  radius of wire, r = 0.25 cm =…

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

A: Load = 200 kg Length of wire (L) = 4 m Weight of load = 200×9.8= 1960 NArea = 2×10-5 m2Young's…

Q: A vertebra is subjected to a shearing force of 490 N. Find the shear deformation, taking the…

A: Explanation Shear modulus is defined as the ratio of shear stress to shear strain. It is measured…

Q: For safety in climbing, a mountaineer uses a nylon rope that is 50. m long and 1.0 cm in diameter.…

A: Young’s modulus is given by,

Q: A cube with edges exactly 2 cm long is made of material with a bulk modulus of 3.5 x 10 9 N/m 2.…

A: The Bulk Modulus of a system is given as

Q: The legs of a weight lifter must ultimately support the weights he has lifted. A human tibia…

A: Given data- For human tibia (shinbone) outer diameter Dout=3.6 cm=0.036 m inner diameter Din=2.5…

Q: A 5-m high aluminum cylinder must support a load of 450 kN. If the maximum allowable stress is 0.14…

A: Given data: The height of cylinder is l=5 m. Load supported P=450 kN. Maximum allowable stress is…

Q: A material with a bulk modulus of 3.5 x 10º N/m² is shaped as a cube with 2cm long edges. It is then…

A: Answer:-  Given  Bulk modulus of material (B) = 3.5 × 109 N/m2  Side of cube(s) = 2 cm  Initial…

Q: Find the diameter of a 17m (L) long steel wire that will stretch no more than 0.009m (AL) when a…

A:

Q: Suppose that an object was formed using 7.25 x 10° Pa. When it was released from the press and…

A: Given  :     Pressure, P1 = 7.25*108 Pa     Pressure, P2 = 1.01*105 Pa       Change in Pressure, ∆P…

Q: A piano wire 0.82 m long and 0.93 mm in diameter is fixedon one end. The other end is wrapped around…

A: The expression for the cross-sectional area is A=π4d2=π40.93 mm×1 m1000 mm2=6.7929×10-7 m2 When the…

Q: A vertical steel beam in a building supports a load of 6.0 x 104 N. a) If the length of the beam…

A: Force= 60000 N Length of beam = 4 m Area = 8 x 10-3 m2

Q: A rubber band 20 cm long has a cross-sectional area of 4 mm . What load will stretch the rubber band…

A: The cross sectional area of the rubber band is, A=4 mm20.01 cm21 mm2=0.04 cm2 The stretched distance…

Q: A 3m long steel bar whose diameter is 25 mm is compressed by a 25 KN force. If the value of the…

A: The stress is defined as the force per unit area.

Q: A copper wire of length 4.4 m , cross sectional area 2.8 x 10--m²and Young's modulus 11 x 1010 N/m²…

A: Given: A copper wire of length , L=4.4 m , Cross sectional area, A= 2.8 x 10-6 m Young's modulus, E…

Q: A diver stands (100kg) at the end of a diving board, causing the board to dip 15cm. The board has a…

A: Given : Mass of diver = 100 kg Weight (F) = 100 *9.8 = 980 N Dip in board (x) = 15 cm = 0.15m Width…

Q: A steel guitar string with a diameter of 0.300 mm and a length of 70.0 cm is stretched by 0.500 mm…

A: Young's modulus= 2 × 1011 N/m2

Q: A steel wire, 3.0 m long, has a diameter of 1.0 mm. If a 10 kg load is hung from the wire how far…

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

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Q: A steel wire of diameter 1mm can support a tension of 0.2 kN. Determine the diameter of a steel…

A: Given:-              The diameter of the steel wire = 1 mm…

Q: A weight of 125 Newton is attached to a brass wire of 7.5 meters long. Young's modulus for brass is…

A: Given data: Weight of the load P=125N Length of the wire L=7.5m Radius of the wire r=0.7mm Young's…

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).