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∙ 13y agoTo find the coordinates of the centroid of the tetrahedron whose vertices are (x 1 , y 1 , z 1 ), (x 2 , y 2 , z2 ), (x 3 , y 3 , z3 ) and (x 4 , y 4 , z4 ).
Let A( x 1, y 1, z 1), B( x 2, y 2, z 2), C( x 3, y 3, z 3), D( x 4, y 4, z 4) be the vertices of tetrahedron ABCD. If G 1 is the centroid of ?BCD, then its coordinates are
Since G( x, y, z), the centroid of tetrahedron ABCD divides the line AG 1 in the ratio 3 : 1.
?
Similarly,
Hence the centroid is
SOLN BY GAURAV CHOUDHARY
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∙ 13y agoTo find the centroid of a tetrahedron with a given density function, you need to calculate the average position of the tetrahedron's mass in each coordinate direction. This can be determined by integrating the density function over the volume of the tetrahedron and dividing by the total mass. The centroid coordinates can then be calculated using these average positions.
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centroid
center of gravity
center of gravity
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the centroid the point at which one can balance the triangle
the point shared by a triangle's medians the point at which one can balance the triangle
2 apex fill-in-the-blank Q's: 1) The center of gravity of a trianglular solid with uniform thickness and density is at the intersection of the medians of the triangle. 2) The center of gravity of a triangular solid with uniform thickness and density is the centroid. medians the point at which one can balance the triangle. and the point shared by a triangle's medians. medians centroid Medians i got centriod?
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