Ση,
Four point masses are placed at the corners of a square of side 2 m as shown in the figure.
Find the centre of mass of the system w.rit. the centre of square.
4 kg
1 kg
3 kg 2 m 2 kg
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Answer:
Let us consider O as origin.
So, x
cm
=
m
1
+m
2
+m
3
+m
4
m
1
X
1
+m
2
X
2
+m
3
X
3
+M
4
X
4
=
10
3×0+2×2+1×2+2×0
=
10
6
=
5
3
Similarly, y
cm
=
10
3×0+2×0+1×2+4×2
=
10
10
=1
∴ COM at (
5
3
,1)
or
5
2
m left of center of square.
Explanation:
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