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The centre of mass of a system of two particles divides. The distance between them is

a)

In inverse ratio of square of masses of particles

b)

In direct ration of square of masses of particles

c)

In inverse ration of masses of particles

d)

In direct ration of masses of particles



Question ID - 53281 | SaraNextGen Top Answer

The centre of mass of a system of two particles divides. The distance between them is

a)

In inverse ratio of square of masses of particles

b)

In direct ration of square of masses of particles

c)

In inverse ration of masses of particles

d)

In direct ration of masses of particles

1 Answer
127 votes
Answer Key / Explanation : (c) -

(c)

There is a point in the system, where if whole mass of the system is supposed to be concentrated, the nature of the motion executed by the system remains unaltered when the force acting on the system are applied directly at this point.

The position of centre of mass of system for  particles is expressed as

or                 

Hence, for a system having particles, we have

, the centre of mass of a system of two particle divides the distance between them in inverse ratio of masses of particles.

127 votes


127