A steel cable of diameter 2 cm is acted upon by 50000 N of tension. If Young’s modulus is 20 x 1010 N/m2 and its unstressed length was 5 m, what is its length while stressed?   A 4 mm   B 5 m   C 5 m 1 mm   D 5 m 4 mm

Q: A horizontal aluminum rod 5.0 cm in diameter projects 4.8 cm from a wall. A 1400 kg object is…

A:

Q: Assume the breaking stress of a bone is 1.30 x 107 N/m2, the magnitude of the maximum force a…

A: Given Breaking stress of a bone =1.30x107Nm2 Average diameter of bone =d= 3cm Area of bone=πd24…

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

A:

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: A road engineer is planning to build an overpass and wants to support a 2.1 × 10° kg load over a…

A: Given that, Length of the column is L = 5.450 m Diameter of the column is d = 73.60 cm = 0.736 m…

Q: A load with a weight of 125.0Newtons is attached to a brass wire with a length of 7.5 meters.…

A: GIVEN   F=125N l= 7.5 m Y=8.96 X 10^11 Pa r=0.7 X  10^3 m

Q: An axial pull of 1.5 kN is acting on a bar of consisting two equal lengths as shown but of diameter…

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Q: A stainless-steel orthodontic wire is applied to a tooth, as in Figure P9.72. The wire has an…

A: the expression for force is,

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 ball has a radius of 1 meter. The Bulk modulus is 4.2 × 1010 N/m2. It is located on the surface of…

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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: A cable is 10.0 m long and has a diameter of 2.00 mm. A force of 45.0 N is applied to the end of the…

A: Length of Cable L=10 m Diameter of the cable d=2.00mm=2*10-3m Force applied to the End of the cable…

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

A:

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: A certain fabric 50 micrometer in diameter can support a mass of 20.0 g. What is the ratio of the…

A: Mass m = 20.0 g = 2×10-2 kg radius of fabric r = (50/2)μm = 25μm = 2.5×10-5 m ultimate strength in…

Q: A 50-N force is applied to a metal rod with a length of 10 m and a cross- sectional area of 1.0 x…

A:

Q: A load with a weight of 125.0Newtons is attached to a brass wire with a length of 7.5 meters.…

A: Y= Young's modulus = stress/strain Stress = force /area of cross section Stress = F/a Strain =…

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

A: Shear modulus is the ratio of shear stress to the shear strain. Using the equation for shear…

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: Calculate the Young's modulus for the given wire when a load of 2000 N is hung from the wire? The…

A: Write the equation for Young’s modulus of elasticity

Q: What is the force required to a steel wire to double its length when its area of cross-section is…

A: In the question it is given that ,Young's Modulus Y=200GPa=200×106Pa=2×104N/m2length of the wire…

Q: The modulus of elasticity for mild steel is approximately equal to:    A) 210 kN/mm2 B) 100 kN/mm2…

A: An elastic modulus is a quantity that measures the substance resistance to being deformed…

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

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

A: Given information: Here, f is the friction force, A is the area of the sole of the shoe, l is the…

Q: What is the stress for a wire of 5 m long so that the strain is 2% of 0.2? The cross-sectional area…

A:

Q: Determine the strain if a rod is experiencing a stress of 70,000 kPa with a modulus of elasticity of…

A: Given: The stress is 70000 kPa. The modulus of elasticity is 175 GPa.

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

A:

Q: The bulk modulus of a material is 5.62 × 1011 N/m2. What fractional change in volume does a piece of…

A: bulk modulus of a material is 5.62 × 1011 N/m2. What fractional change in volume does a piece of…

Q: A rod 120 cm long and of a diameter 3.0 cm is stretched by a force of 18 kN. What is its stress? a.…

A: F = 18 × 10³ N  Radius(R) = (3/2) = 1.5 cm  R = 15 mm  Area of cross section is A = πR² => A =…

Q: d) A cylindrical rod 100 mm long and having a diameter of 10 mm is to be defomed using a tensile…

A: According to the following question,  this question ask us that, we have to examine the four alloys…

Q: An elevator of mass of 1200kg is hanged by steel wire with a cross sectional area 1.2*10-4 m2…

A:

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

A:

Q: A compressive force of 3.1 × 10ª N is exerted on the end of a 23-cm-long bone of cross-sectional…

A: applied compressive force(F) = 31000 N Cross sectional area of bone = 3.7 cm 2 = 0.00037 m2…

Q: A 1000-kg object hangs from the lower end of a steel rod 5.0 m long that is suspended vertically.…

A:

Q: A steel wire, 3.2 m long, has a diameter of 1.2 mm. The wire stretches 1.6 mm when it bears a load.…

A:

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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Q: A load with a weight of 125.0Newtons is attached to a brass wire with a length of 7.5 meters.…

A:

Q: A 480 mm long thighbone (femur), which is the largest and longest bone in the human body, has a…

A: Given that  young modulus = 15x 108 N/m2 length of femur = 480 mm =0.480 m cross sectional area =…

Q: A cube with edges exactly 3.00 cm long is made of material with a bulk modulus of 7.00 x 10 9 N/m 2.…

A: Given: Length of cube’s side (a) = 3.0 cm. = 3.0×10-2 m. Bulk modulus (B) = 7.0×109 N/m2. Pressure…

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

A: Let Y be defined as the young modulus. Therefore, Y=FL0A∆L∆L=FL0AY=FL0πr2Y Here, F is the force…

Q: A steel rod 55 cm long has a diameter of 30.0 cm.  The compressive strength (the maximum stress it…

A:

Q: A horizontal aluminum rod 3.4 cm in diameter projects 7.0 cm from a wall. A 810 kg object is…

A: Answer:- Given  Shear modulus (G) = 3 × 1010 N/m2  Length (L) = 7 cm =7× 10-2 m  Diameter of rod (d)…

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: Calculate the Young's modulus for the given wire when a load of 2000 N is hung from the wire? The…

A: The Young's modulus is given by  Y = F LA l where, F is the force, L is the original length, A is…

Q: An object with a mass equal to 300 kg is hung on a wire of length 5.00 m and cross-sectional area of…

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Q: 6. A steel beam is placed vertically in the basement of a building to keep the floor above from…

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Q: In her gymnastic routine, Regina dismounts from the uneven-parallel bars and lands straight-legged…

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Q: How much force is required to punch a hole in a peice of paper. Let the paper have a thickeness of…

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Q: Masses M1 and M2 are supported by wires that have equal lengths when unstretched. The wire…

A: masses M1 and M2 Aluminium wire                                           steel wirediameter,d1=1.35…

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).