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Question

Consider a system of two particle having masses m1 and m2. If the particle of mass m1 is pushed towards m2 through a distance d, by what distance should be particle of mass m2 be moved so as to keep the centre of mass of the system of particle at the original position?

A
m1m1+m2d
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B
m1m2d
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C
d
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D
m2m1d
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Solution

The correct option is A m1m2d
the 2 masses are m1and m2

let x and y be the distance of m1and m2 from the centre of mass respectively...

now,m1x=m2y

the mass m1 is moved by a distance d,

let the mass m2 be moved by a distance D

therefore, m1(xd)=m2(yD)

m1xm1d=m2ym2D

by eqn (i) m1x=m2y

=>m1d=m2D

= D=m1dm2



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