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Physics / Sears and Zemansky's University Physics with Modern Physics 13 / Chapter 10 / Problem 16DQ

Sears and Zemansky's University Physics with Modern Physics | 13th Edition | ISBN: 9780321696861 | Authors: Hugh D. Young; Roger A. Freedman; A. Lewis Ford

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Chapter 10, Problem 16DQ

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Problem 16DQ

A wheel is rolling without slipping on a horizontal surface. In an inertial frame of reference in which the surface is at rest, is there any point on the wheel that has a velocity that is purely vertical? Is there any point that has a horizontal velocity component opposite to the velocity of the center of mass? Explain. Do your answers change if the wheel is slipping as it rolls? Why or why not?

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QUESTION:

Problem 16DQ

A wheel is rolling without slipping on a horizontal surface. In an inertial frame of reference in which the surface is at rest, is there any point on the wheel that has a velocity that is purely vertical? Is there any point that has a horizontal velocity component opposite to the velocity of the center of mass? Explain. Do your answers change if the wheel is slipping as it rolls? Why or why not?

ANSWER:

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The best example for the combined translation and rotation motion is rolling without slipping, as shown in the figure below.

1 cubic yard.jpg

As the wheel is symmetrical, its center of mass is at its geometric center. We shall consider the motion in an inertial frame of reference in which the surface on which the wheel rolls is at rest.

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