A child slides across the floor in a pair of rubber-soled shoes. The frictional force acting on each foot is 20.0 N. The footprint area of ​​each sole is 11.6 cm ^ 2 and the thickness of each sole is 6 mm. Find the horizontal distance that the upper and lower surfaces of each sole run. The shear modulus of rubber is 3.00 MN / m ^ 2.

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: solution as .

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…

A:

Q: A shaft having length equal to 10 m and diameter equal to (50 + 21) mm is simply supported at both…

A:

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 200.- kg load is hung on a wire of length 4.00 m, crosssectional area 0.200 x 10-4 m2, and Young’s…

A: Write the expression for the increase in length.

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

A:

Q: After a fall, a 95 kg rock climber finds himself dangling from the end of a rope that had been 15 m…

A: Given:  mass, m = 95 kg  length of rope, L = 15 m  diameter of rope , d = 9.6 mm  extension in…

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: What is the pressure required to reduce the volume of a brass block by 10%?[Given the Bulk Modulus…

A: To solve the question we will use the formula: Bulk modulus, k=PdVV

Q: A wire of uniform cross sectional area of 0.45 mm is stretched at both ends by a total force of 7O N…

A: Given: Area of cross section of wire is 0.45 mm2. Force acting on the wire is 70 N. Strain produced…

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

A:

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: Calculate the strain of a brass rod of length 250 mm which is subjected to a tensile load of 50 kN…

A: Length , L = 250 mm Elongation , ∆L = 0.2 mm Load , F = 50 kN To find = Strain

Q: A metal wire 1.0 mm in diameter and 2.0 m long hangs vertically with a 6 kg mass suspended from it.…

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: Is thrée times larger than in steel shaft. QI1) For the section shown aside, if the bending stress…

A:

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: The maximum upward acceleration of a lift of total mass 2500 kg is 0.5 ms, The lift is supported by…

A: Answer             2.575 X 10-4m2

Q: What is maximum diameter of brass rod if it has to support a 400N load without exceeding its elastic…

A: Let Y be the stress on the brass rod, F be the load, A be the cross-sectional area, and D be the…

Q: A 20 kg chandelieris suspended from the ceiling by four vertical steel wires. Each wire has an…

A:

Q: 1.4 Axial loads are applied to the compound rod that is composed of an aluminum segment rigidly…

A: P= 10 kN = 10 * 103 N AAl= 600 mm2 ABr= 400 mm2 ASteel= 300 mm2

Q: After a fall, a 73 kg rock climber finds himself dangling from the end of a rope that had been 17 m…

A: This problem requires following formula to be used. a)Strain is ratio of stretched length to…

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: '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: Two strips of metal are riveted together at their ends by four rivets, each of diameter 6.0 mm. What…

A: Given, Diameter of the metal bar, d = 6.0 mm = 6.0 × 10–3 mRadius, r = d/2 = 2.5 × 10-3 m Maximum…

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: After a fall, a 86 kg rock climber finds himself dangling from the end of a rope that had been 16 m…

A:

Q: A steel wire of length 1.97 m with circular cross section must stretch no more than 0.240 cm when a…

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

A: We need to calculate the elongation of the rod when the given force is applied.

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

A: Given: The mass of the man: m = 71.6 kg; The cross-sectional area of his femur: A = 8.00 cm2 = 8.00…

Q: "One end of a steel rod of radius R = 10mm and length L = 100 cm is held in a vise. A force of…

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 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: steel wire of length 1.93 m with a circular cross-section must stretch no more than 0.240 cm when a…

A: Dear student The Young modulus is defined as: Y = Stress/ Strain Here stress = Force / Area Strain =…

Q: A wire of 0.5 mm cross-section diameter nd 120 cm length is suspended vertically. What is the…

A: Write the given value of this problem: Diameter of wire(d)=0.5 mm or 0.5×10-3mLength of wire(L)=120…

Q: A man with a mass of 68.3 kg stands on one foot. His femur has a cross-sectional area of 8.00 cm2…

A: Given:The mass of man, m = 68.3 kgThe area of femur, A = 8 cm2 = 8×10-4 m2The length which is…

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: 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: A man with a mass of 75.2 kg stands on one foot. His femur has a cross-sectional area of 8.00 cm^2…

A: Given data: mass (m) = 75.2 kg cross-sectional area (A) = 8 cm2 uncompressed length (L) = 50.5 cm…

Q: Two strips of metal are riveted together at their ends by four rivets, each of diameter 8.0 mm. What…

A: Diameter of each rivet,

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

A: Solution:-

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).