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# A wheel is rolling without slipping on a horizontal ISBN: 9780321675460 31

## Solution for problem 16DQ Chapter 10

University Physics | 13th Edition

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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?

Step-by-Step Solution:

Solution 16DQ Step 1 of 3 : The best example for the combined translation and rotation motion is rolling without slipping, as shown in the figure below. 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. Step 2 of 3: In such a inertial frame , where there is no slipping while rolling, it should satisfy the following condition. That is the point on the wheel that contacts the surface must be instantaneously at rest so it does not slip. Hence the velocity of the point of contact relative to the center of mass must have the same magnitude but opposite direction as the center-of-mass velocity If the radius of the wheel is R and its angular speed about the center of mass is then the magnitude of is V cm = R

Step 3 of 3

##### ISBN: 9780321675460

This textbook survival guide was created for the textbook: University Physics, edition: 13. The answer to “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?” is broken down into a number of easy to follow steps, and 74 words. University Physics was written by and is associated to the ISBN: 9780321675460. The full step-by-step solution to problem: 16DQ from chapter: 10 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. This full solution covers the following key subjects: wheel, velocity, surface, any, slipping. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. Since the solution to 16DQ from 10 chapter was answered, more than 387 students have viewed the full step-by-step answer.

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