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Four Particles having masses m,2m,3m,4m, are placed at the four corners of a square of edge a. Find the gravitational force acting on a particle of mass m placed at the centre.

Four Particles having masses m,2m,3m,4m, are placed at the four corners of a square of edge a. Find the gravitational force acting on a particle of mass m placed at the centre.

Grade:11

2 Answers

Ashwin Muralidharan IIT Madras
290 Points
9 years ago

Hi Arnab,

 

Lets say, the force between the mass placed at the centre and the mass "m" at the corner A (say topleft) is F = Gm^2/(a/root[2])^2

 

So the other forces will be 2F, 3F and 4F towards B,C,D respectively (say B is top right) and so on.

 

So the resultant Force will be 2root(2)F in the downward direction (vertical)

which is 4root(2)Gm^2/a^2 (vertically downwards. {for this configuratoin of masses).

 

Hope that helps.

 

Best Regards,

Ashwin (IIT Madras).

Anil bedi
13 Points
2 years ago
Four masses are placed at the corner of a rectangle 3kg 3kg 5kg and 4kg find the net force on the mass 4kg due to other three masses
 

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