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Find the distance between centre of grav...

Find the distance between centre of gravity and centre of mass of a two particle system attached to the ends of a light rod. Each particle has same mass. Length of the rod is R, where R is the radius of earth.

A

(a) R

B

(b) R/2

C

(c) zero

D

(d) R/4

Text Solution

Verified by Experts

The correct Answer is:
B
Centre of gravity of the two particles
`X_(CG)=(W_(1)X_(1)+W_(2)X_(2))/(W_(1)+W_(2))=((0)(0)+(mg)(R))/(0+mg)=R`
the centre of mass of the two particle system is at
`X_(CM)=(M(R)+m(0))/(2M)=(R)/(2)`
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