A child slides across a floor in a pair of rubber-soled shoes. The friction force acting on each foot is 20.0 N. The footprint area of each shoe sole is 14.0 cm2, and the thickness of each sole is 5.00 mm. Find the horizontal distance by which the upper and lower surfaces of each sole are offset. The shear modulus of the rubber is 3.00 MN/m2.

Q: The pressure on a volume of liquid V= 1.6 m3 at the surface is approximately equal to 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 shaft having length equal to 10 m and diameter equal to (50 + 21) mm is simply supported at both…

A:

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

A: NOTE: As per bartleby guidelines we can answer only first question. For remaining questions please…

Q: "One end of a steel rod of radius R = 10mm and length L = 80 cm is held in a vise. A force of…

A:

Q: A man with a mass of 71.6 kg stands on one foot. His femur has a cross-sectional arca of 8.00 cm2…

A: Given : Mass of man = 71.6 kg Cross-sectional area of femur = 8.00 cm2= 8.00*10-4 m2 Uncompressed…

Q: Find the force required to stretch a 1.0 m steel wire of diameter 3.2 mm by 10.0 mm. Given the…

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Q: One end of a brass wire 120 cm long and a diameter of 0.24 cm is fastened to a point in the ceiling.…

A: Length of wire l=120 cm, diameter of the wire d=0.24 cm (radius r=d/2=0.12 cm), weight of the body…

Q: In regions of the cardiovascular system where there is steady laminar blood flow, the shear stress…

A:

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: A horizontal aluminum rod 4.7 cm in diameter projects 5.6 cm from a wall. A 1100 kg object is…

A:

Q: You have a 15 cm^3 block of copper that you wish to make into a cylindrical wire. If the Young's…

A: stiffness of wire is given by, k=A ELwhere V=ALA=VLNow,k=VEL2

Q: After a fall, a 110 kg rock climber finds himself dangling from the end of a rope that had been 19 m…

A:

Q: A cylindrical aluminum rod, with an initial length of 0.8769 m and radius 996.0 µm, is clamped in…

A: Given initial length of cylindrical aluminum rod Li = 0.8769 m initial radius of cylindrical…

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

A:

Q: A tangential force of 0.004 KN affected the upper surface of a rectangle 5 mm high, 3 cm long and 5…

A: Given Dimensions, l=3 cm= 3×10-2mw=5 cm=5×10-2mh=5mm=5×10-3m Tangential force, F=0.004 KN= 4N…

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: 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: A cube made of an unknown material has a dimension of 6 cm on all edges. If the upper face is…

A:

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: A tensile stress is to be applied along the axis of a cylindrical brass rod with diameter of 15 mm.…

A: The lateral strain is, εx=∆dd0     =-3.5×10-215×10-3     =-2.33 The axial strain is, εz=-εxν…

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.…

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Q: A 26.0 m long steel cable with a cross-sectional area of 2.05 ✕ 10−3 m2 is used to suspend a 3.60 ✕…

A:

Q: A stainless-steel orthodontic wire is applied to a tooth, as in Figure P9.14. The wire has an…

A: Given: L = 3.1 cm = 3.1 x 10-2 m  radius, r = 0.11 mm = 0.11 x 10-3 m  l = 0.1 mm = 1 x 10-4 m  Y =…

Q: A cube made of an unknown material has a dimension of 6 cm on all edges. If the upper face is…

A: Shear modulus of the material is, η=FLAx=FLL2x=FLx

Q: The figure shows an approximate plot of stress versus strain for a spider-web thread, out to the…

A: We  have,  stress=forcearea and                strain=change in lengthoriginal lengthHence,  work…

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

A:

Q: "One end of a steel rod of radius R = 10mm and length L = 80 cm is held in a vise. A force of…

A:

Q: After a fall, a 80 kg rock climber finds himself dangling from the end of a rope that had been 14m…

A:

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

A:

Q: After a fall, a 88 kg rock climber finds himself dangling from the end of a rope that had been 12 m…

A:

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

A:

Q: What force is required to stretch a steel wire 1 cm² in cross section to double its length, if…

A: When a force is applied at the end of the material gets deformed and the molecules of the material…

Q: In regions of the cardiovascular system where there is steady laminar blood flow, the shear stress…

A: Convert the shear stress on cells in N/m2.

Q: "One end of a steel rod of radius R = 10mm and length L = 90 cm is held in a vise. A force of…

A:

Q: A solid steel sphere with a radius of 2.0 m falls off a ship and sinks to a depth where the pressure…

A: Given : radius, r= 2 m  Pressure, P = 15 MN/m2 = 15 × 106 N/m2  Bulk modulus, B=1.6×1011 N/m2  Find…

Q: A cube made of an unknown material has a dimension of 6 cm on all edges. If the upper face is…

A: shear modulus is given by, G =FlA∆xwhere, F=force acting on the body =2×106 dynes = 20 Nl =initial…

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: 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: The figure shows an approximate plot of stress versus strain for a spider-web thread, out to the…

A: Solution:-

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…

Q: After a fall, a 94 kg rock climber finds himself dangling from the end of a rope that had been 18 m…

A:

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).