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 tendon is round and as an average diameter of 5.73 mm, calculate the Young's modulus of this tendon.

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

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Q: The elevator in a vertical mine shaft is supported by a steel cable of cross-sectional area 3.20 x…

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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: hollow circular shaft has an external diameter of 120 mm and ternal diameter. If the stress at…

A: Solution:-    External diameter ,D0=120 mm  ,      Radius R0=1202=60 mm…

Q: The Young’s modulus for steel is at most 215 GPa (1 GPa= 109 N/m2).  If you apply a force of 50.0…

A: Given quantities: Young's modulus of steel (Y) = 215 GPa Applied force (F) = 50 GPa initial length…

Q: A circular metal column is to support load of 500 Tonne and it must not compress more than 0.1 mm.…

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Q: An extremely expensive piece of spider silk is 2.5 m long and 0.5 mm in diameter is anchored to the…

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Q: A tension force of 10 N is applied to a wire of cross-sectional area of 1x10 m², the wire stretched…

A: Given: A tension force, F = 103 N; Cross-sectional area, A =1×10-4 m2; The wire is stretched by 0.2%…

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 shear force of 350 N is applied to one face of an aluminum cube with sides of 30 cm while the…

A: Given :            Force F = 350N            Side   S = 30cm =0.3m            The shear modulus for…

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 18 cm long tendon was found to stretch 5.4 mm by a force of 14.0 N. The tendon was approximately…

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Q: The femur bone in a human leg has a minimum effective cross section of 2.85 cm² and an ultimate…

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Q: A steel bar is stresses to 250 MPa. The modulus of elasticity is 250 GPa. The bar is 80 mm diameter…

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Q: The Young's modulus for aluminium is 7 × 10¹0 Pa. You want an aluminium wire to not stretch more…

A: Given data:  Young's modulus (Y) = 7×1010 Pa Stretch in wire (ΔL) = 1.8 cm = 0.018 m Original Length…

Q: The bulk modulus of a material is 7.24 x 1011 N/m². What fractional change in volume does a piece of…

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Q: A wire of uniform cross sectional area of 0.25 mm2 is stretched at both ends by a total force of 65…

A: Given data The cross-sectional area is given as Ac = 0.25 mm2. The total force at both ends is…

Q: An object weighs 4.5 x 105 N is supported by steel cable, with cross-sectional area of 6.0 cm 2, the…

A: Given: The weight of the object is 4.5x105 N. The cross-sectional area is 6 cm2. Young's modulus of…

Q: A wire of uniform cross sectional area of 0.15 mm2 is stretched at both ends by a total force of 40…

A: Given, Area of cross section of the wire A = 0.15 mm2 Total force acting on the both end F = 40 N…

Q: The total tensile load of 160kN of a steel is to be stress at the middle portion limited to 150…

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

A: The stress-strain curve is shown below.

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

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Q: When subjected to a force of compression, the length of a bone (compression Young's modulus 6.4x10…

A: Young modulus (Yc ) = 6.4 × 109 N/m2 Tensile young modulus (YT) = 1.8 × 1010 N/m2 . ∆xc = 2.5 × 10-5…

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: A cube with 2.0 cm sides is made of material with a bulk modulus of 4.7 x 10³ N/m². When it is…

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Q: A wire has 20 x 10^10 N/msquared young modulus. Its diameter is 1mm that can handle a tension of 0.2…

A: Given data- young modulus= 20×1010 N/m2 1mm diameter can handle a tension of 0.2 kN.

Q: A weight of (50kg) affects the lower end of a steel rod of length (80cm) and diameter (0.60cm). What…

A: Given: The mass of the weight is 50 kg. The length of the rod is 80 cm. The diameter of the rod is…

Q: Steel beams are used for load bearing supports in a building. Each beam is 4.0 m long with a…

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Q: A 15.9 cm long tendon is found to stretch 3.81 mm when a force of 18.0 N is applied to it. If the…

A: The length of the tendon is l = 15.9 cm. The force applied on the tendon is F = 18.0 N. The average…

Q: A spider silk line has a circular cross section. Its diameter is 7.14 micrometers. Its unstretched…

A: When  spider changes from the thread,  stress will be developed in it , whichbleads yo the expansion…

Q: A metal bar’s dimensions are 1 in x 2 in. If the bar has a modulus of elasticity of 4.14x10^9 Pa,…

A: Given  Initial lenth is 15 in Final lenth = 15.25 in Dimensions = 1*2 in E = 4.14*10⁹ pa concept…

Q: To stretch a relaxed biceps muscle 2.5 cm requires a force of 25 N. Find the Young's modulus for the…

A: We must ascertain the muscular tissue's Young's modulus. We are aware that the biceps muscle can be…

Q: A circular steel wire 2.4m long must stretch no more than 0.24cm when a tensile force of 420 N is…

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

A: When a force is applied longitudinally to a solid, a mechanical parameter called the Young modulus,…

Q: The five-bolt connection must support an applied load of P = 3400 lb. If the average shear stress in…

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Q: A HOMEWRK-1: The average cross-sectional area of leg 3 cm² and all of body weight 700 N supported of…

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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: A wire of uniform cross sectional area of 0.45 mm2 is stretched at both ends by a total force of 65…

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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).