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Three masses are placed on the x-axis : ...

Three masses are placed on the x-axis : `300 g` at origin. `500 g` at `x = 40 cm` and `400 g` at `x = 70 cm`. The distance of the centre of mass from the origin is.

A

45 cm

B

50 cm

C

30 cm

D

40 cm

Text Solution

Verified by Experts

The correct Answer is:
D
`x_(cm)=(m_(1)x_(1)+m_(2)x_(2)+m_(3)x_(3))/(m_(1)+m_(2)+m_(3))`
`=(300xx0+500xx40+400xx70)/(300+500+400)`
`=(48000)/(1200)=40 cm`
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