Hello,
I need to know the Mass and the Center of mass of a tetrahedron made
of the points (0,0,1),(0,0,0),(1,0,0) and (0,1,0).
The density is X^2 Kg/m^3 |
Request for Question Clarification by
mathtalk-ga
on
14 Dec 2004 13:33 PST
Hi, ragnorock-ga:
As fj-ga has pointed out, the volume of your particular tetrahedron is
1/6. The link posted by fj-ga is quite apt. It reports, without
proof, that the center of mass of any tetrahedron (aka the centroid)
is the straight average of all four vertices (assuming uniform mass
density).
So, in your case: (1/4,1/4,1/4)
I'd be happy to post a proof of this (using calculus) for the list
price you've offered, but if you are satisfied with the free Comment
provided by fj-ga, then you might want to Close (expire) the Question
to avoid being charged in the event an Answer is posted.
regards, mathtalk-ga
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