1. Jul 7, 2016

### Mr.maniac

1. The problem statement, all variables and given/known data
Two bodies A and B having masses m and 2m respectively kept at a distance of d apart.
A small particle is kept between A and B such that the net gravitational force on the particle
is zero due to the bodies A and B . Its distance from mass A should be ?????

2. Relevant equations

3. The attempt at a solution
x= distance of the particle from A
Fx+(-Fd-x)=Gm1m2/x2-Gm1m2/(d-x)2
after simplifying
Gm1m2d2-2dxGm1m2/dx2+x4-2dx3

2. Jul 7, 2016

### Tallus Bryne

Remember that object A has mass m and object B has mass 2m. Try simplifying again and be more clear with how you represent your fractions.

3. Jul 7, 2016

### Irene Kaminkowa

"the net gravitational force on the particle is zero"

Where did you use this fact? Where is 0 in your equation?

4. Jul 12, 2016

### dean barry

assume the particle is of negligable mass, then the equation for gravitational acceleration is : g = (G * M) / d^2
use substitution, call the distance from A = 1, then find the distance B

5. Jul 12, 2016

### haruspex

Why? It does not matter what its mass is, the acceleration would be the same.
Mr.maniac called it x, which seems even better.