HOTS : Gravitation

Problem 1:  There are two fixed heavy masses of magnitude M of high density on x-axis at a distance 2d apart.  A small mass m moves in a circle of radius R in the y-z plane between the heavy masses.  Find the speed of the small particle.

Solution :

Force of attraction between M and m is

By symmetry Fx components will cancel.

  ∴ The net force, which provides the centripetal force, is given by

As net force provides the centripetal force . Therefore ,

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