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(III) A uniform circular plate of radius 2R has a circular

Physics: Principles with Applications | 6th Edition | ISBN: 9780130606204 | Authors: Douglas C. Giancoli ISBN: 9780130606204 3

Solution for problem 52P Chapter 7

Physics: Principles with Applications | 6th Edition

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Physics: Principles with Applications | 6th Edition | ISBN: 9780130606204 | Authors: Douglas C. Giancoli

Physics: Principles with Applications | 6th Edition

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Problem 52P

(III) A uniform circular plate of radius  has a circular hole of radius  cut out of it. The center \(C^{\prime}) of the smaller circle is a distance \(0.80 R\) from the center  of the larger circle, Fig. . What is the position of the center of mass of the plate? [Hint: Try subtraction.]

FIGURE 7-41 Problem 52

Equation Transcription:

Text Transcription:

C'

0.80R

Step-by-Step Solution:
Step 1 of 6

We have to find the position of the center of mass of the resultant larger plate formed due to the removal of the small circular plate from it.

Step1 of 6

Concept:

Center of mass(CM) of a body is an imaginary point at which the whole mass of the body is supposed to be concentrated. We consider that the net force acts on the centre of mass of body, insteads of considering that it acts on each and every point on the body for simpler calculation and this is one of the importance of application of CM.

The location of the center of mass on the x-axis and y-axis is given as

                and                

Step 2 of 6

Chapter 7, Problem 52P is Solved
Step 3 of 6

Textbook: Physics: Principles with Applications
Edition: 6
Author: Douglas C. Giancoli
ISBN: 9780130606204

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(III) A uniform circular plate of radius 2R has a circular