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KEAM 2016 Physics and Chemistry Paper
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© examsnet.com
Question : 5
Total: 120
The position vectors of two identical particles with respect to the origin in three-dimensional coordinate system are
r
1
and
r
2
. The position vector of centre of mass of the system is given by
r
1
+
r
2
2
(
r
1
+
r
2
)
r
1
−
r
2
r
1
+
r
2
2
r
1
+
r
2
3
Validate
Solution:
Given, position vector of first particle
=
r
1
Position vector of second particle
=
r
2
m
1
=
m
2
=
m
We know that,
Centre of mass of system
=
m
1
r
1
×
m
2
r
2
m
1
+
m
2
=
m
r
1
+
m
r
2
m
+
m
=
m
(
r
1
+
r
2
)
2
m
=
r
1
+
r
2
2
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