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Lecture

8.3 Physics & Engineering Applications Question #4 (Medium)


Department
Mathematics
Course Code
MAT136H1
Professor
all

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8.3 Challenging Integral Applications
Physics & Engineering Applications
Question #4 (Medium): Finding the Moment and the Center of Mass
Strategy
Moment of the system about the -axis is
 : because about the -axis the distance of is
considered.
Moment of the system about the -axis is
 : because about the -axis the distance of is
considered.
Sample Question
The -axis shows point-masses located on the -axis. Find the moment of the system about the
origin and the center of mass.
Number line with points at:
  with   
  with   
  with   
Solution
Since the number line only presents one dimensional line with only values to deal with, moment is
given by:  
 . Thus, 
The total mass of the system is  
    
Therefore, the center of mass of the system is



 
 
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