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Center of mass

  • #1

Homework Statement



A meter stick has constant thickness and width , but the material that the stick is constructed from is very strange ... it has a variable mass density that is given by, ρ(x) = 0.800(1 + 0.00250x) grams/cm3 where x is measured in cm. Find the center of mass of the meter stick, as measured from it's left end.

The problem shown asks for the center of mass of a meter stick with a variable mass density, the picture is the solution to the problem! where did this formula come from?!?!


Homework Equations


Xcm=(M1X1+m2x2)/(M1+m2)


The Attempt at a Solution


The hint says to use two simple integrals using the volume element dV=Adx
Can someone please help me understand where they got these 2 integrals from?
 

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Answers and Replies

  • #2
tiny-tim
Science Advisor
Homework Helper
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Hi XwakeriderX! :smile:
The hint says to use two simple integrals using the volume element dV=Adx
Can someone please help me understand where they got these 2 integrals from?
The first is the integral of the mass, ∫ ρ dx

The second is the integral of the moment of the mass, ∫ xρ dx :wink:
 
  • #3
Ahh i see now thanks!!
 

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