Two mass particles of masses m1 and m2 having mass 10gm each are placed at x1=10cm and x2=15cm on X axis, what is the position of center of mass of system?
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Answer:
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Explanation:
Let initially the centre of masses 10g, 20g and 30g are placed at a distance x
1
,x
2
andx
3
.Then x coordinate of centre of mass is given by
10+20+30
10x
1
+20x
2
+30x
3
=1
10x
1
+20x
2
+30x
3
=60......(1)
When 40g mass is added the new centre of mass becomes:
10x
1
+20x
2
+30x
3
+40x
4
=0.........(2)
60+40x
4
=0
x
4
=
40
−60
x
4
=−
2
3
New coordinates of the combined system is (−
2
3
,−
2
3
,−
2
3
)
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