Register to reply

Find center of mass of solid uniform density

by haxtor21
Tags: density, mass, solid, uniform
Share this thread:
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?
Phys.Org News Partner Science news on Phys.org
Hoverbike drone project for air transport takes off
Earlier Stone Age artifacts found in Northern Cape of South Africa
Study reveals new characteristics of complex oxide surfaces
tiny-tim
#2
Apr20-11, 05:06 AM
Sci Advisor
HW Helper
Thanks
tiny-tim's Avatar
P: 26,160
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


Register to reply

Related Discussions
Center of mass of a uniform density square centered at the origin. Offset by width/4? Calculus & Beyond Homework 2
Center of mass and center of gravity different in non uniform gravitation field?expl General Physics 4
Find mass of uniform solid disk? Introductory Physics Homework 2
Center of mass of a triangle (uniform density) Introductory Physics Homework 5
Help with problem of Center of mass, linear mass density and total mass Introductory Physics Homework 1