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Centre of mass of of an isosceles Triangle

  • Thread starter aurao2003
  • Start date
  • #1
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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

 

Answers and Replies

  • #2
vela
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Try starting with a sketch.
 
  • #3
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Try starting with a sketch.
Thanks. I will commence ze sketch!
 
  • #4
supratim1
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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.
 
  • #5
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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!
 
  • #6
supratim1
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  • #7
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welcome...so did it work?
Sorry! I will let you know tonight. I have 5 exams between now and monday. All A2! Cheers!
 
  • #8
supratim1
Gold Member
279
1
ok..all the best!
 

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