Question

two bodies of masses m1 and m2 are at distance x1 and x2 from their centre of mass then the correct statement

Answer 1

Given :  two bodies of masses m₁ and m₂ are at distance x₁ and x₂ from their center of mass

To Find :  the relation between m₁ , m₂  , x₁ and x₂

Solution:

two bodies of masses m₁ and m₂ are at distance x₁ and x₂ from their center of mass

Then  m₁x₁  + m₂x₂ = 0

m₁x₁  + m₂x₂ = 0

to Understand this lets call center of Mass as Origin

Then  m₁ and m₂ are at distance x₁ and x₂ from Origin

Then Center of Mass  =   (m₁x₁  + m₂x₂)/(m₁   + m₂)

Center of Mass  is assumed at Origin

=> (m₁x₁  + m₂x₂)/(m₁   + m₂) = 0  

=> m₁x₁  + m₂x₂ = 0

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Answer 2

Explanation:

This is your answer in up side image.