Physics, asked by saurya2942001, 1 year ago

Find center of mass in equilateral triangle if it's side a and masses is 4

Answers

Answered by taranjs123
0

Let the corner of the triangle

{

(

A

,

100

)

}

be at the origin

O

(

0

,

0

)


Then,


the corner

{

(

B

,

150

)

}

wiil be at

(

0.5

,

0

)


and the corner

{

(

C

,

200

)

}

will be at

(

0.25

,

0.25

3

)


Let

G

(

x

G

,

y

G

)

be the center of mass of the particles


Then,


x

G

=

a

x

a

+

b

x

b

+

c

x

c

a

+

b

+

c

=

100

0

+

150

0.5

+

200

0.25

100

+

150

+

200


=

125

450


=

0.28


y

G

=

a

y

a

+

b

y

b

+

c

y

c

a

+

b

+

c

=

100

0

+

150

0

+

200

0.25

3

100

+

150

+

200


=

51.7

450


=

0.12

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