Two 20 kg blocks are connected by a 2.0-m-long, 5.0-mm-diameter rope.  Young's modulus for this rope is 1.5 x 109 N/m2.  The rope is then hung over a pulley, so that the blocks, hanging from each side of the pulley, are in static equilibrium.  By how much does the rope stretch?

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A: Yyty

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

A:

Q: By applying 2.00 x 106 N/m2 shear stress to a steel bar 2 m in length, calculated the shear bending…

A: Shear Bending Stress(S) for steel is given as,    S=(8.3×108 N/m2)=Shear StressShear strain

Q: After a fall, a 85 kg rock climber finds himself dangling from the end of a rope that had been 18 m…

A: Given Data Mass of the rock climber is m=85 kg Length of the rope is l=18 m Diameter of the rope is…

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Q: A heavy crate with weight 4900 N hangs from a thick nylon rope. The rope has a cross-sectional area…

A: Solution: Given that Weight W = 4900 N Area A = 1.4x10-4 m2 youngs modulus E =3.7x109 N/m2

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A: Given that, Young's modulus of steel =2.0×1011 N/m2 Length of the wire  = 9.70 m Radius of the wire…

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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: Q3/ For the beam and loading shown, determine the maximum normal stress due to bending. 150 kN 150…

A: Given that a beam with 90 kN/m UDL and two 150 kN load  to find the normal stress

Q: What is the tension force in the wire shown below if it stretches O.35 cm when tightened if young's…

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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:

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 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: The bone breaks if stress greater than 1.50 x 10 8 N/m2 is imposed on it. (a) What is the maximum…

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Q: What is the tension force in the wire shown below if it stretches 0.35 cm when tightened if young's…

A: Given : ∆L = 0.35 cm = 0.0035 m Y = 2 x 1011 N/m2 L = 2.5 m d = 0.30 cm = 0.003 m

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 73 m length with a radius of 2.3 m of a cylinder supports a 9.5 x 10 5 kg mass which presses down…

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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.

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

Q: Nylon breaks when the tensile stress within it reaches 1.0 x 10 ’ Pa. Which range below includes the…

A: Given data: The stress in thread is σ=1×109 Pa. The diameter of thread is d=1.00 mm.

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A:

Q: A particular human hair has a Young's modulus of 3.64 × 10° N/m² and a diameter of 148 μm. If a 217…

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Q: A physics lab consists of a large ball attached to a wire. Students hold on to one end of the wire,…

A: Here given the wire of length 1.3 m and diameter 1mm. The young modulus is 20 × 10^10 N/m². The mass…

Q: Assume Young's modulus for bone is 1.50 x 1010 N/m2. The bone breaks if stress greater than 0= 62780…

A: Young's modulus for the bone,  Breaking stress,  Effective radius of the bone,

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 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: P-3. A 50 mm diameter steel shaft rotates at 240 rpm. If the shearing stress is limited to 82 MPa.…

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Q: 12 mm -75 mm-| |–12 mm 12 mm 75 mm 250 mm D H|-12 mm

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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…

A:

Q: A particular human hair has a Young's modulus of 3.63×109 N/m2 and a diameter of 145 μm. If a 228 g…

A: Write the expression for Young’s modulus, and solve for the change in length of the hair.

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…

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Q: The pole in the figure is a a 90° bend in a power line and is therefore subjected to more shear…

A: Tension in wires at top , T = 3.5 x 104 N Angle made by wire with the vertical , θ = 80° Height of…

Q: A material rod that is 4.00 m long and 0.50 cm2 in cross- section area is found to stretch 0.20 cm…

A: The Young's Modulus, Y=Fl0A∆l

Q: After a fall, a 110 kg rock climber finds himself dangling from the end of a rope that had been 15 m…

A: Given,           massm= 110kg     Length of ropel= 15m     diameterd= 9.9×10-3m=9.9 mm    change in…

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).