A child slides across a floor in a pair of rubber-soled shoes. The frictional force acting on each foot is 20.0 N. The footprint area of each shoe sole is 11.0 cm2, and the thickness of each sole is 5.80 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 x 106 N/m2. mm

A child slides across a floor in a pair of rubber-soled shoes. The frictional force acting on each foot is 20.0 N. The footprint area of each shoe sole is 11.0 cm2, and the thickness of each sole is 5.80 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 x 106 N/m2. mm

College Physics

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

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).

Question

A child slides across a floor in a pair of rubber-soled shoes. The frictional force acting on each foot is 20.0 N. The footprint area of
each shoe sole is 11.0 cm2, and the thickness of each sole is 5.80 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 x 106 N/m².
mm
Assume if the shear stress in steel exceeds about 4.00 x 108 N/m2 the steel ruptures.
(a) Determine the shearing force necessary to shear a steel bolt 0.75 cm in diameter.
(b) Determine the shearing force necessary to punch a 2.60-cm-diameter hole in a steel plate 0.450 cm thick.

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