Find center of mass of solid uniform density

[haxtor21]

Homework Statement

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

Homework Equations

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

The Attempt at a Solution

I set up all the equations for Mx, My and x-bar, y-bar but I can't 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?

 

[tiny-tim]

hi haxtor21!

(have an integral: ∫ and try using the X² and X₂ icons just above the Reply box )

… I can't see how the z=cy comes into play at all. Does it imply its a 3 dimensional figure or what?

it's a vertical cylinder (x² + y² = a²), sliced by a plane through the x-axis and sloping at 45°