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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

40 cm

B

45 cm

C

50 cm

D

30 cm

Text Solution

Verified by Experts

The correct Answer is:
A
(a) `x_(CM) = (m_1 x_1 + m_2 x_2 + m_3 x_3)/(m_1 + m_2 + m_3)`
=`(300(0)+500(40)+400(70))/(300 + 500 + 400)`
=`(20000 + 28000)/(1200) = (48000)/(1200) = 40 cm`.
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