Find the mass center of a wire bent into the form of an isosceles right-angled triangle Question Find the mass center of a wire bent into the form of an isosceles right-angled triangle in progress 0 Math Peyton 1 month 2021-08-14T19:02:15+00:00 2021-08-14T19:02:15+00:00 1 Answer 0 views 0

## Answers ( )

Given :a wire bent into the form of an isosceles right-angled triangleTo Find :mass center of a wireSolution:Let say

Right angle triangle with perpendicular sides a

Let say right angle is at origin

( 0 , 0 ) , ( 0 , a) , ( a , 0)

will be 3 coordinates

Centroid of triangle is mass center

Centroid = ( 0 + 0 + a)/3 , ( 0 + a + 0)/3

= ( a/3 , a / 3)

But in this case area between triangles sides is empty

Hence mass has not been uniformly distributed over complete triangle

Mass is just on the perimeter of triangle

Sides = a , a

& hypotenuse = a√2

Hypotenuse is at 45° with each sides

Hence center of mass will lie at

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