A particle of mass `m_(1)` is fastened to one end of a massless string and another particle of mass `m_(2)` is fastened to the middle point of the same string. The other end of the string being fastened to a fixed point on a smooth horizontal table. The particles are then projected, so that the two particles and the string are always in the same straight line and describe horizontal circles. Then, the ratio of rotations in the two parts of the string is :

Options

A. `m_(1)//(m_(1)+m_(2))`
B. `(m_(1)+m_(2))//m_(1)`
C. `(2m_(1)+m_(2))//2m_(1)`
D. `2m_(1)//(m_(1)+m_(2))`

Answer

c