Q.

The co-ordinates of centre of mass of particles of mass 10, 20 and 30 gm are (1, 1, 1) cm.The position co-ordinates of mass 40 gm which when added to the system, the position of combined centre of mass be at (0, 0, 0) are,

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a

(3/2, 3/2, 3/2)

b

(-3/2, -3/2, -3/2)

c

(3/4, 3/4, 3/4)

d

(-3/4, -3/4, -3/4)

answer is B.

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Detailed Solution

for 4 particle system m4= 40
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The co-ordinates of centre of mass of particles of mass 10, 20 and 30 gm are (1, 1, 1) cm.The position co-ordinates of mass 40 gm which when added to the system, the position of combined centre of mass be at (0, 0, 0) are,