Centroid is the Balance Point of a Triangle

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  From an arbitrary point O that is not a vertex of triangle ABC, you may take it as a given fact that the location of the centroid of triangle ABC is the vector (vector OA + vector OB + vector OC)/3. Task: A.

• Finding the Centroid of a Triangle

  409615 Centroid of a Triangle Using the fact that the centroid of a triangle lies at the intersection of the triangle's medians, which is the point that lies one-third of the way from each side toward the opposite vertex.

• deriving the distance formula

  in 2 dimentional and then in 3 dimentional The centroid theorem states that the three medians of a triangle are concurrent; and the points at which the medians intersect is one third of the way along each median measured *towards* the vertex

• Geometry Problems

  The centroid of a triangle is always inside the triangle, but the orthocenter of a triangle is not always inside of the triangle. Obtuse triangles have their orthocenter outside.

• Volumes of Polyhedra

  The segment that makes up the part of the right triangle mentioned above is the segment with length s/√3. (b) Now let's find the area of the base. The area of a triangle is A = bh/2.

• Find the centroid of a lamina using Definite integrals when density of the region is a variable

  76761 Find the centroid of a lamina using Definite integrals when density of the region is a variable A lamina is described with the help of three curves, given that density of the lamina at a point P is proportional to the square of its distance from

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  76762 Find the centroid of a lamina using Definite integrals when density of the region is a variable A lamina is described with the help of three curves, given that density of the lamina at a point P is inversely proportional to its distance from y-axis

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  If the density is given to be proportional to the distance of a point on the curve to Y-axis, find the centroid of the region. Please see the attached file for the fully formatted problem.

• Beam deflection and Stress at corner?

  We're asked to determine the deflection of a beam location for a 2000N load. However, the force is directed up the corner NOT centroid. In other words, at beam corner up through the side wall. Kind of like a ledge holding a flower pot.