contestada

"you have a flat piece of plastic of uniform density ρ in the shape of a right triangle. the legs of the triangle are given as a and
b. where is the center of mass of this triangle? using the coordinate system given, enter the coordinates of the center of mass in terms of a and
b."

Respuesta :

mathmate
If the coordinates of the vertices are
(0,0)
(a,0), and 
(0,b)

Then the centroid is located at
(a/3, b/3) 
using the property of the centroid that it is located at two-thirds from the vertex of any median.
batolisis

Since the piece of plastic with uniform density is a Right angled triangle ;

  • The center of mass of the triangle is located at the point where ; 1/3 base length and 1/3 height of the triangle intersects
  • The coordinates of the center of mass  is ; ( a/3 , b/3 ).

For a right angled triangle the centroid and the center of mass is the same. the center of mass can be determined by taking the average value of the three legs of the right angled triangle.

Therefore to actually determine the  location of the center of mass in the triangle, look for  the point of intersection between 1/3 height and 1/3 base length of the triangle.

Hence we can conclude that The center of mass of the triangle is located at the point where ; 1/3 base length and 1/3 height of the triangle intersects and The coordinates of the center of mass  is ; ( a/3 , b/3 ).

Learn more : https://brainly.com/question/17088562

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