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Consider a system of two particles having masses  and . If the particle of mass  is pushed towards the centre of mass of particles through a distance , by what distance would be particle of mass  move so as to keep the centre of mass of particles at the original position

a)

b)

c)

d)



Question ID - 53870 | SaraNextGen Top Answer

Consider a system of two particles having masses  and . If the particle of mass  is pushed towards the centre of mass of particles through a distance , by what distance would be particle of mass  move so as to keep the centre of mass of particles at the original position

a)

b)

c)

d)

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

(b)

Initial position of centre of mass     ...(i)

If the particles of mass  is pushed towards the centre of mass of the system through distance  and to keep the centre of mass at the original position let second particle be displaced through distance  away from the centre of mass

Now    …(ii)

Equating (i) and (ii)

By solving

Negative sign shows that particle  should be displaced towards the centre of mass of the system

127 votes


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