Three particles A,B and C each of mass m are lying at the corners of an equilateral triangle of side L. If the particle A is released keeping the particles B and C fixed, the magnitude of instantaneous acceleration of A is ......?

Gravitational force acting on the particle A due to the particle B:

F1=GmmL2    =Gm2L2

Gravitational force acting on the particle A due to the particle C:

F2=GmmL2    =Gm2L2

Magnitudes of F1 and F2 are equal to each other.

Let F1=F2=F

Angle between F1 and F2 is θ = 60o

Net force acting on the particle A:

Fnet=F2+F2+2FFcos60o       =3F2        =3F

Acceleration of the particle A:

a=Fnetm   =3Fm    =3mGm2L2    =3GmL2

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