Question

Three uniform spheres each has a mass m and radius ‘a' are kept in such a way that each touches the
other two. The magnitude of the gravitational force on any of the spheres due to the other two is​

Answer 1

Answer:

The given system may be regarded as a system of three particles located at the three vertices of an equilateral triangle of side 2R.

Now,

F

A

=F

B

⇒

(2R)

2

Gm

2

=

4R

2

Gm

2

F

A

andF

B

are inclined to each other at an angle of 60

0

.

If F is the resultant of F

A

and F

,

then

F=

3

×

4R

2

Gm

2

solution

Explanation:

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