Find center of mass of solid uniform density

  1. 1. The problem statement, all variables and given/known data
    Find the center of mass of the solid of uniform density bounded by the graphs of the equations: Wedge: x^2+y^2=a^2. z=cy(c>0), y>=0, z>=0


    2. Relevant equations

    Mx=int(y*p(x,y) dA)
    dA=area of integration, dydx/dxdy

    3. The attempt at a solution

    I set up all the equations for Mx, My and x-bar, y-bar but I cant seem to realize what the limits of integration are. I can't see how the z=cy comes into play at all. Does it imply its a 3 dimensional figure or what?
     
  2. jcsd
  3. tiny-tim

    tiny-tim 26,041
    Science Advisor
    Homework Helper

    hi haxtor21! :smile:

    (have an integral: ∫ and try using the X2 and X2 icons just above the Reply box :wink:)
    it's a vertical cylinder (x2 + y2 = a2), sliced by a plane through the x-axis and sloping at 45° :smile:
     
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