A 30 kg mass is suspended from an aluminum wire of length 2.5 m and diameter of 1.5 mm. By how much does the wire stretch if the Y = 6.9 x 1010 N/m2

Q: A metal wire of diameter D stretches by 0.100 mm when supporting a weight W. If the same-length wire…

A: Given: Initial diameter of metal wire, D1=D Weight supported to metal wire initially, W1=W The…

Q: A diamond rod and a tungsten rod have the same length and diameter and are subjected to the same…

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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…

A: Write the given values with the suitable variables. F=100Nd=3 mm=3×10-3 m Here, F is the force and d…

Q: A 2.5 meter metal column has a 4500kg load placed on it and it compresses 0.0016 meters.  If the…

A: The Young's modulus is given by, Y=stressstrain The stress is given by, stress=FA Here, F is the…

Q: Consider a copper wire with cross-sectional area 4 mm?. The Young's modulus for copper is 1.1 × 1011…

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Q: How large a force is necessary to stretch a 2.0-mm-diameter steel wire (Y = 2.0 x 1011 N/m2) by…

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Q: A 5.0 × 102 N object is hung from the end of a wire of cross-sectional area 1x10-6 cm². The wire…

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Q: A steel wire 2.3 mm in diameter stretches by 0.030% when a mass is suspended from it. How large is…

A: The Young's modulus is given by  where, M is the mass, g is the gravity, A is the area, L is the…

Q: One end of a piano wire is wrapped around a cylindrical tuning peg and the other end is fixed in…

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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: If a 6.0 x 10^3 mm elastic cable of density 1.1 x 10^3 kg/m^3 is dangling, how much does the length…

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Q: A 0.600-mm diameter wire stretches 0.500% of its length when it is stretched with a tension of 20.0…

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Q: Two rods, one made of copper and the other of steel, have the same dimensions. If the copper rod…

A: Write the expression for Young’s modulus, solve it for the stress of the copper rod as follows.

Q: 2. A 50.0 kg uniform square sign, of edge length L=2.00m, is hung from a horizontal rod of length of…

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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: 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: A copper wire is 1.0 m long and its diameter is 1.0 mm. If the wire hangs vertically, how much…

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Q: A 5.0 x 102 N object is hung from the end of a wire of cross-sectional area 1x10-6 cm². The wire…

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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…

A: Given that Original length of wire L = 20 m Cross section area A = 1 cm2 = 1 X 10-4 m2 Young's…

Q: A particular human hair has a Young's modulus of 3.31 x 10° N/m2 and a diameter of 145 um. If a 236…

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Q: A D B A uniform thin shelf AB of length 2m and weight 100N is hinged to the wall at a and is…

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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…

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

Q: An 1800-kg elephant is placed on top of an aluminum cylinder, 4.3 meters high. The area of the top…

A: height of cylinder (h) = 4.3 m Surface area (A) = 0.080 m2mass of elephant (m) = 1800 kg Young's…

Q: A 2.50-m-long steel wire has a radius of 0.075 cm. How much tension is needed to stretch the wire…

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Q: A tow truck is pulling a car out of a ditch by means of a steel cable that is 9.2 m long and has a…

A: Given data: The length of the steel cable is L=9.2 m. The radius of the steel cable is R=0.50 cm.…

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

A: The expression for the elastic module,

Q: a diver stands (80kg) at the end of a diving board, causing the board to dip 10cm. The board has a…

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Q: A certain wire, 3 m long, stretches by 1.2 mm when under tension 200 N. A wire with twice the…

A: The length=3m  The diameter d=3m

Q: A cable used to lift heavy materials can resist breaking even under a load of 1 meganewtons. The…

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Q: Two 20 kg blocks are connected by a 2.0-m-long, 5.0-mm-diameter rope.  Young's modulus for this rope…

A: Given data: Mass m1=m2=20 kg Length of the rope l=20m Diameter of the rope d=5.0mm Young's modulus…

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: For safety in climbing, a mountaineer uses a nylon rope that is 65 m long and 1.5 cm in diameter.…

A: Given Length of nylon rope  L = 65 m Diameter of rope  d = 1.5 cm Mass of climber m = 86 kg…

Q: A 5.0 x 102 N object is hung from the end of a wire of cross-sectional area 1x10-6 cm². The wire…

A:

Q: A cable is 100 m long and has a cross sectional area of 1 mm^2. A 1000 N force is applied to stretch…

A: The expression for find stretched length of the cable is Y=FA∆LL0∆L=FL0YA

Q: A 4.0-kg object is supported by an aluminum wire of length 2.0 m and diameter 2.0 mm. How much will…

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Q: A 5.0 x 102 N object is hung from the end of a wire of cross-sectional area 1x106 cm?. The wire…

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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 o= 81962…

A: To determine: The maximum force that is exterted on the femur bone

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 certain rod stretches 0.90 cm when outward forces with magnitude F are applied to each end. The…

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Q: Young's modulus of iron rod is 21 × 1010 N/m². A force of 7.0 x 105 N is applied to a 1.5-m length…

A: Force applied, F = 7x105 N Length of iron rod, l = 1.5 m Cross sectional area of iron, a = 0.25 m2…

Q: The femur bone in a human leg has a minimum effective cross section of 3.15 cm2. How much…

A: The pressure presently working on an object can be defined as the physical force that is being…

Q: One end of a piano wire is wrapped around a cylindrical tuning peg and the other end is fixed in…

A: Given, ,

Q: A vertical steel girder with a crosssectional area of 0.15 m2 has a 1550 kg sign hanging from its…

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Q: Assume Young's modulus for bone is 1.50 x 100 N/m². The bone breaks if stress greater than d= 40607…

A: Young modulus, Y=1.50× 1010 N/m2 Maximum stress, σ=40607 N/m2 Radius, r = 0.01 m

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).