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: A steel cube of side length L = 0.5 m is subjected to a shearing force of 5000 N along the top…

A: Length=0.5m Shear force=5000N Shear constant=8.3×10^10N/m2 Shearing angle=?

Q: A wire having Young's modulus 1.2 × 10¹1 N/m² is subjected to the stress of 2.4 × 10¹ N/m². If the…

A: Given :- Young's modulus Y =  1.2*1011 N/m2 stress  σ = 2.4 × 107 N/m².  length l = 10m

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

A:

Q: A horizontal aluminum rod 3.9 cm in diameter projects 5.5 cm from a wall. A 1100 kg object is…

A: a) Determine the shear stress of the rod.

Q: A vertical solid steel post of diameter d = 26 cm and length L = 2.70 m is required to support a…

A: The objective of the question is to calculate the stress and strain in a steel post supporting a…

Q: shear stress on the rod

A: Given: Diameter of aluminum rod is d=2.9 cm Distance from the wall is L=7.8 cm Mass of object is…

Q: The dimensions of a rectangular block of brass (Young's modulus 9.0x1010 N/m², shear modulus…

A:

Q: An 9.63-kg stone at the end of a steel (Young's modulus 2.0 x 1011 N/m²) wire is being whirled in a…

A: The strain in the wire is strain=LΔL​=2.43×10−4Explanation:Step 1: Given- The mass of the stone is…

Q: A horizontal aluminum rod 3.1 cm in diameter projects 4.6 cm from a wall. A 940 kg object is…

A: Given : Diameter of horizontal aluminum rod, d = 3.1 cm = 0.031 m Radius of the horizontal aluminum…

Q: A horizontal aluminum rod 2.9 cm in diameter projects 7.2 cm from a wall. A 950 kg object is…

A:

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

A:

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 high-carbon steel wire, circular in cross-section, has a diameter of 14 mm. What is the force (in…

A:

Q: A man with a mass of 70.5 kg stands on one foot. His femur has a cross-sectional area of 8.00 cm and…

A: mass of man (m) = 70.5 kg weight (w) = m×g = 70.5×9.8= 690.9 N Cross sectional area of femur (A) = 8…

Q: A metal slab of side (74+ 75) cm and thickness (74 + 25) cm is subjected to a tangential force of…

A:

Q: A string on a tennis racket is under the tension of 25 N. If its diameter is 3.3 mm, by how much is…

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

A: Given data *The frictional force acting on each foot is F = 20.0 N *The area of each shoe's sole is…

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

A: Given: d=3.4 cm L=7cm =0.07mm=810 kgG=3.0*1010 N/m2

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

A:

Q: A material has a shear modulus of 5.0 × 10⁹ N/m². A shear stress of 1.7 x 107 N/m² is applied to a…

A: Here Shear modulus = 5.0 × 109 N/m2 Shear stress = 1.7 × 107 N/m2 We have to calculate the shear…

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

A:

Q: A copper wire of length 23.179 is designed to withstand a maximum tension of 657 N and 0.627%…

A: Given  Length of copper wire  L = 23.179 m Tension  T = 657 N Strain  ∆L/L × 100 = 0.627 %  ∆L/L =…

Q: An electrical home appliance rests on four rubber pads, each one having a height of 0.62 cm and a…

A: Calculate the area of the pad. A=πR2A=π(0.34 cm×1 m100 cm)2A=3.63×10−5 m2

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: An elevator is suspended by a steel cable of diameter 2.5cm. The steel has an ultimate tensile…

A: Given, Diameter =2.5 cm Ultimate tensile strength is 860Mpa Let T denote tension in the cable and a…

Q: A horizontal aluminum rod 3.2 cm in diameter projects 7.6 cm from a wall. A 1100 kg object is…

A:

Q: A 73-kg snow skier is being pulled up a 19° slope by a steel (Young's modulus 2.0 x 10¹1 N/m²)…

A:

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: A horizontal aluminum rod 3.9 cm in diameter projects 5.5 cm from a wall. A 1200 kg object is…

A:

Q: A horizontal aluminum rod 3.9 cm in diameter projects 5.5 cm from a wall. A 1200 kg object is…

A:

Q: A horizontal aluminium rod 4.8 cm in diameter projects 5.3 cm from a wall. A 1200 kg object is…

A:

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

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).