Centre of Mass Confusion
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If we have this triangle then surely we could say from the midpoint of BC as the origin then the coordinates of the triangle are (6,0) , (-6,0) and (0,8) averaging them out which is the rule for triangles gives an incorrect answer of (0,8/3) when the real answer is (0,2.5) and if you use the fact that the centre of mass is always 2/3 along the median then you also get the answer (0,8/3).Confused
If we have this triangle then surely we could say from the midpoint of BC as the origin then the coordinates of the triangle are (6,0) , (-6,0) and (0,8) averaging them out which is the rule for triangles gives an incorrect answer of (0,8/3) when the real answer is (0,2.5) and if you use the fact that the centre of mass is always 2/3 along the median then you also get the answer (0,8/3).Confused
Original post by Dalek1099
http://www.examsolutions.net/a-level-maths-papers/Edexcel/Mechanics/Mechanics-M2/2010-June/questions/q3.gif
If we have this triangle then surely we could say from the midpoint of BC as the origin then the coordinates of the triangle are (6,0) , (-6,0) and (0,8) averaging them out which is the rule for triangles gives an incorrect answer of (0,8/3) when the real answer is (0,2.5) and if you use the fact that the centre of mass is always 2/3 along the median then you also get the answer (0,8/3).Confused
If we have this triangle then surely we could say from the midpoint of BC as the origin then the coordinates of the triangle are (6,0) , (-6,0) and (0,8) averaging them out which is the rule for triangles gives an incorrect answer of (0,8/3) when the real answer is (0,2.5) and if you use the fact that the centre of mass is always 2/3 along the median then you also get the answer (0,8/3).Confused
You are not finding the centre of mass of a triangle but of three equal masses placed at the mid-points of the sides.
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