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# Numerical problem based on Gravitation

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Two metallic spheres of mass M are suspended by two strings each of length L.The distance between the upper ends of the strings is L.The angle which the strings  will make with the vertical due to mutual attraction of sphere is (if each mass horizontally moved by a distance of L/4 due to mutual attraction)

The following diagram explains the situation.

From the diagram,

$tan\theta&space;=\frac{4Gm}{l^{2}g}$

or

$\theta=tan^{-1}\left&space;(&space;\frac{4Gm}{l^{2}g}&space;\right&space;)$

Refer to The Pearson Guide to Objective Physics for Medical Entrance Examinations for more of such problems