Centre of mass of of an isosceles Triangle

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Homework Help Overview

The problem involves finding the coordinates of the vertices of a uniform isosceles triangular lamina, given that one vertex is at (2,1) and the x-coordinate of the center of mass is -3. The axis of symmetry is defined by the line y=4.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants suggest starting with a sketch to visualize the problem. There is a discussion about the y-coordinate of the center of mass being on the axis of symmetry and the reflection of one vertex across this line.

Discussion Status

Some participants have offered guidance on how to approach the problem, including the importance of the axis of symmetry and the reflection of the vertex. Multiple interpretations of the problem setup are being explored, but there is no explicit consensus on a solution yet.

Contextual Notes

One participant mentions being under time constraints due to upcoming exams, which may affect their ability to engage fully with the problem at this time.

aurao2003
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Homework Statement


Hi
I am really stuck on this problem. It reads as such:
A uniform triangular lamina is isocceles and has the line y= 4 as its axis of symmetry. One of the vertices of the triangle is the point (2,1). Given that the x-co-ordinate of the centre of mass of the lamina is -3, find the co-ordinates of the other two vertices.

I am not sure where to begin. Any hints or guides please?



Homework Equations


Centre of mass = (X1 +x2+X3/3, Y1+Y2+Y3/2)



The Attempt at a Solution

 
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Try starting with a sketch.
 
vela said:
Try starting with a sketch.
Thanks. I will commence ze sketch!
 
the Y-coordinate of COM will be 4, as it will lie on y=4, the axis of symmetry. now proceed. one of the vertices will be the reflection of (2,1) on y=4. the third one will lie on y=4, just find the x coordinate of that.
 
supratim1 said:
the Y-coordinate of COM will be 4, as it will lie on y=4, the axis of symmetry. now proceed. one of the vertices will be the reflection of (2,1) on y=4. the third one will lie on y=4, just find the x coordinate of that.
Let me try it. Thanks!
 
aurao2003 said:
Let me try it. Thanks!

welcome...so did it work?
 
supratim1 said:
welcome...so did it work?
Sorry! I will let you know tonight. I have 5 exams between now and monday. All A2! Cheers!
 
ok..all the best!
 

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