Question

In traiangleb ABC, mass of 100 g, located on point A, mass of 200 g located on point C and mass of 150 g is located at point B, they are kept in y-plane, find the coordinate of centre of mass of triangle ABC​

Answer 1

Explanation:

With the x- and y- axes chosen as shown in Fig., the coordinates of points O, A and B forming the equilateral triangle are respectively (0,0),(0.5,0),(0.25,0.25

3

). Let the masses 100g,150g and 200g be located at O, A and B be respectively. Then,

X=

m

1

+m

2

+m

3

m

1

x

1

+m

2

x

2

+m

3

x

3

=

(100+150+200)g

100(0)+150(0.5)+200(0.25)gm

=

450

75+50

m=

450

125

m=

18

5

m

Y=

450g

100(0)+150(0)+200(0.25

3

)gm

=

450

50

3

m =

9

3

m=

3

3

1

m

Answer 2

Answer:

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