Question

Four particles each of mass 1 kg are placed at the corners of a square of side one meter in X-Y plane. If centre of the square is taken at the origin, the
coordinates of the centre of the mass are (in meter)
0 (0,0)
O (-1.-1)
O (1,1)
O (1,-1)​

Answer 1

Answer:

Explanation:x  

com

​  

=  

∑m  

i

​  

 

∑m  

i

​  

x  

i

​  

 

​  

 

=  

4

1×  

2

1

​  

+1×(−  

2

1

​  

)+1×(−  

2

1

​  

)+1×(  

2

1

​  

)

​  

 

x  

com

​  

=0

Similarly y  

cm

​  

=  

∑yi

∑m  

i

​  

y  

i

​  

 

​  

 

y  

cm

​  

=  

4

1×  

2

1

​  

+1×  

2

1

​  

+1×(−  

2

1

​  

)+1×(−  

2

1

​  

)

​  

 

y  

cm

​  

=0

Hence coordinate of com

(x  

cm

​  

,y  

cm

​  

)=(0,0)

Option D.