×
Log in to StudySoup
Get Full Access to Physics - Textbook Survival Guide
Join StudySoup for FREE
Get Full Access to Physics - Textbook Survival Guide

(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

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Physics: Principles with Applications | 6th Edition | ISBN: 9780130606204 | Authors: Douglas C. Giancoli

Physics: Principles with Applications | 6th Edition

4 5 0 292 Reviews
27
1
Problem 52P

(III) A uniform circular plate of radius 2R has a circular hole of radius R cut out of it. The center C of the smaller circle is a distance 0.80/? from the center C of the larger circle, Fig. 7-41. What is the position of the center of mass of the plate? [Hint Try subtraction.)

Step-by-Step Solution:
Step 3 of 6

Solution 52P:

        We have to find the position of the center of mass of the resultant larger plate formed due to 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 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</p>

Figure below shows uniform circular plate of radius  with a circular hole of radius .

Step 3 of 6</p>

We choose the origin of the coordinate axes to be at the center  of the circle of radius .

Radius of the entire uniform circular plate

Radius of the smaller circular hole

It is given that the separation between the center of the smaller circle and the center  of the larger circle is

From the symmetry of the system, the y coordinate of the center of mass of the entire circle, the center of mass of the larger part, and the center of mass of the smaller part are all at  i.e., on the x-axis. Thus, their y coordinate are equal to zero.

 

Step 4 of 6

Chapter 7, Problem 52P is Solved
Step 5 of 6

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

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

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

×
Log in to StudySoup
Get Full Access to Physics - Textbook Survival Guide
Join StudySoup for FREE
Get Full Access to Physics - Textbook Survival Guide
×
Reset your password