Question

consider a two particle system with particles having masses m₁ and m₂ . if the first particle is pushed towards the centre of mass through a distance d , by what distance should particle be moved , so as to keep the centre of mass at the same position ? [AIEEE 2006] ​

Answer 1

Answer:

No it is opposite side

Explanation:

P

Answer 2

Explanation:- To keep the centre of mass at the same position velocity of centre of mass is 0 ,so

m₁ v₁ + m₂v₂ /m₁+ m₂ = 0

where ,v₁ and v₂ are the velocity of particles 1 and 2 , reapectevely .

⟹ m₁dr₁/dt + m₂dr₂/dt = 0

[ ∵ v₁ = dr₁/dt and v₂ = dr₂/dt ]

⟹ m₁dr₁ + m₂dr₂ = 0

dr₁ and dr₂ represenr the change in displacement of particles .

Let 2nd particles has been displaced by distance x

⟹ m₁d + m₂x = 0

or , x = -m₁d/m₂

or |x| = m₁d/m₂ Answer .