The problem involves finding the center of mass of an 800 g steel plate shaped like an isosceles triangle. Participants are tasked with determining the x and y coordinates of the center of mass based on the provided dimensions and properties of the triangle.
The discussion is ongoing, with participants exploring different interpretations of the problem and questioning the necessity of integration for determining the centroid of a simple geometric shape. Some guidance has been offered regarding the relationships between the variables, but no consensus has been reached.
There is a mention of a hint provided in the image, which suggests symmetry in the triangle, but the specifics of how to utilize this hint remain unclear among participants. Additionally, confusion exists around the definitions of variables and the setup of the problem.
SteamKing said:The image gives you a big ole hairy HINT. Did you try following it?
That's a pretty confusing mix of variable names. What's AH, C, the m in mx+C? Why switch from y to h?Anthonyphy2013 said:xcm=1/M∫xd(ρ/AH)
and the height is y=2/3 x as =mx+C. and should I put h = 2/3 x ?
ρ/AH is not going to give you mass. And... the area and height of what, exactly?Anthonyphy2013 said:xcm=1/M∫xd(ρ/AH) , A is the area and H is the height