A spider of mass 6.3  10-4 kg hangs from a 70.9 cm long thread whose diameter is 2.0  10-3 mm. Young's modulus of thread is 3  109 N/m2. By how much does the thread stretch (in m)?

Q: Common sports injuries result in the tearing of tendons and ligaments due to overstretching. If the…

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Q: The unknown metal cube measures 4.2 x 10 ― 2 m has a stress of 9.2 x 1011 N/m 2 and a change of…

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Q: A steel wire of length 4.7 m and cross-sectional area 3.0 × 10-5 m2stretches by the same amount as a…

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Q: Find the Young’s modulus of the wire. (g= 9.81 m/s/s)

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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: Consider the effect of wires hung on poles in which the left wire made an angle 29° below the…

A: Given, Tension=114N

Q: A brass wire with Young’s modulus of 92.0 GPa is 1.95 m long and has a cross-sectional area of 5.00…

A: The objective of the question is to find out how much a brass wire stretches when a certain weight…

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: Ropes for rock climbing have a diameter of 10.5 mm and a Young's modulus of 8.72x107 N/m². If a rock…

A: A material's ability to withstand length changes under longitudinal tension or compression is…

Q: A 50.0 kg object is hung from the end of a wire of cross-sectional diameter of 1.12 mm. The wire…

A: Given: m=50kg d=1.12mm r=0.56×10-3m l=200cm=200×10-2m=2m ∆l=0.5cm=0.5×10-2m

Q: A steel wire of length 2.08 m with circular cross section must stretch no more than 0.200 cm when a…

A: Given data, Force F=380 N Length L0=2.08 m Young's modulus Y=2×1011 Pa Change in length ∆L=0.2×10-2…

Q: A 557-N force is applied to stretch a cable, 66-m long and has a cross-sectional area of 2.8 mm^2.…

A: The force applied in the cable is given as, F=557 N, The original length of the cable is given as,…

Q: Ropes for rock climbing have a diameter of 10.5 mm and a Young's modulus of 8.72x10 N/m2. If a rock…

A: Given: Diameter,d=10.5mm=10.5×10-3mRadius,r=5.25mm=5.25×10-3mYoung's…

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

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Q: A 16.7 cm long tendon is found to stretch 4.22 mm when a force of 15.8 N is applied to it. If the…

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Q: A mineshaft has an ore elevator hung from a single braided cable of diameter 2.5 cm. Young’s modulus…

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Q: A member is formed by connecting two steel bars shown below. Assuming that the bars are prevented…

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Q: uring a tensile strength experiment, a small diameter fibre is elongated by a force of 0.0250 N. The…

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Q: A copper wire of length 8.7 m , cross sectional area 1.3 x 10-6m2and Young’s modulus 11 x 1010 N/m2…

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Q: A mass of 35.0 kg is suspended from a steel wire of diameter 1.00 mm and length 11.3 m. How much…

A: Given that,Mass : m = 35 (kg)Diameter of wire : d = 1 (mm)   Length of the wire : L = 11.3 (m)The…

Q: The largest tendon in the body, the Achilles tendon, connects the calf muscle to the heel bone of…

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

Q: The figure shows the stress-strain curve for a material. The scale of the stress axis is set by s =…

A: Given, stress s=290×106 N/m2s=2.90×102×106 N/m2s=2.90×108 N/m2 strain ε=0.0040

Q: A 210-kg load is hung on a wire of length of 3.30 m, cross-sectional area 2.00 x 10-5 m2, and…

A: mass of load (m) =210 kg initial length of Wire (L0) = 3.3 m Cross sectional area of Wire (A) = 2.0…

Q: Problem 12:   Consider the effect of wires hung on poles in which the left wire made an angle 29°…

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Q: A wire of length L , area of cross section A is hanging from a fixed support. The length of the wire…

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Q: Assume Young's modulus of a femure bone of an effective diameter 2.5 cm is 1.5 x1010 N/m2. The bone…

A: Given: A femur bone of an effective diameter 2.5 cm and it's Young's modulus = 1.5 × 1010 N/m2.…

Q: An aluminium (p = 2.7g/cm³) wire is suspended from the ceiling and hangs vertically. How long must…

A: Given that-Density of aluminium wire, ρ=2.7g/cm3Stress at upper end, σt= 8×107 N/m2We know…

Q: An Aluminum cable of length 3.5 m has 15,000 N tensile force acting on it, if the wire is only…

A: Given, The length of the alumunium cable, L=3.5 m The tensile force acting, F=15000 N Length by…

Q: Humans can bite with a force of approximately 792 N. If a human tooth has the Young's modulus of…

A: Force exerted (F) = 792 N Cross sectional area (A) = 1.3 cm2= 0.00013 m2Length of bone (L) = 1.7cm =…

Q: Ropes for rock climbing have a diameter of 10.5 mm and a Young's modulus of 8.72x107 N/m². If a rock…

A: A material's ability to withstand length changes under longitudinal tension or compression is…

Q: Humans can bite with a force of approximately 795 N. If a human tooth has the Young's modulus of…

A: Young's modulus is defined as the ability of a material to withstand the change in length due to…

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

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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 sphere of copper has a radius of 8.00 cm and is compressed uniformly by a force of 5.00 × 108 N.…

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Q: An aluminum wire of length 4.3 m and diameter 2.5 mm is connected to a steel wire of length 3.1 m…

A: The change in length for aluminum is, ∆lAl=FlAYAl          =49.84.3π2.5×10-3227×1010…

Q: A steel cable of diameter 2 cm is acted upon by 50000 N of tension. If Young’s modulus is 20 x 1010…

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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).