Need help to solve a Physics problem on length and density

Physics
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A rod of length 30.0 cm has linear density (mass per length) given by λ = 50.0 + 20.0x where x is the distance from one end, measured in meters, and λ is in grams / meter. (a) What is the mass of the rod? (b) How far from the x = 0 end is its center of mass?

Nov 2nd, 2015

Thank you for the opportunity to help you with your question!

The length of the rod is L=30.0 cm

The linear density (mass per length) is given by the formula λ =m/L

1.  Given λ = 50.0 + 20.0x, where x is the distance from one end in meters, for x= L=30.0 cm=0.30m, the mass of the rod is m=λ*L

m=(50.0 + 20.0*0.30)*0.30

m=16.8g

1.  The center of mass of the rod is in:


Please let me know if you need any clarification. I'm always happy to answer your questions.
Nov 2nd, 2015

I send you the file with the second answer because the system couldn't support the formulas.

Nov 2nd, 2015

rod centre of mass.docx Here is the complete answer.

Nov 2nd, 2015

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