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Find center of mass of solid uniform density

by haxtor21
Tags: density, mass, solid, uniform
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haxtor21
#1
Apr19-11, 10:39 PM
P: 46
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?
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tiny-tim
#2
Apr20-11, 05:06 AM
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hi haxtor21!

(have an integral: ∫ and try using the X2 and X2 icons just above the Reply box )
Quote Quote by haxtor21 View Post
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


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