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Finding the centre of mass

  1. Dec 24, 2013 #1
    1. Find the centre of mass of a semi circular plate of radius R, the density of which linearly varies with distance, 'd' at the centre to a value '2d' at the circumference.

    2. Xcom = (∫xdm)/M

    3. I tried attempting the solution but im not really knowing how to get dm in terms of dx
  2. jcsd
  3. Dec 24, 2013 #2


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    Since you have a semi-circular plate, why not use polar coordinates to set up your integrals for the mass and the first moment?
  4. Dec 24, 2013 #3
    What is your equation for density as a function of x? What is your equation for dm as a function of x?

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