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Question

Two point particles of masses 1 kg and 2 kg are placed on an axis as shown in figure. The position of COM of the system would be


A
4 m from 1 kg mass
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B
4 m from 2 kg mass
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C
At the midpoint between the two masses
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D
Close to 2 kg, but data insufficient
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Solution

The correct option is A 4 m from 1 kg mass
Given, masses of particles m1=1 kg, m2=2 kg
Taking m1(1 kg) to be origin
Position of 1 kg (x1, y1)=(0,0)
Position of 2 kg (x2, y2)=(6,0)
Position of COM:
xcm=m1x1+m2x2m1+m2=1(0)+2(6)3
=4 m from m1

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