question_answer

A monkey climbs up and another monkey moving down a rope hanging from a tree with some uniform acceleration separately. If the respective masses of monkey are in the ratio2 : 3, the common acceleration must be

A)  \[g/5\,\,m{{s}^{-2}}\]                     

B)  \[6g\,\,m{{s}^{-2}}\]

C)  \[g/2\,\,m{{s}^{-2}}\]                     

D)  \[g\,\,m{{s}^{-2}}\]

Correct Answer: A

Solution :

             For the monkey of mass 3m \[3mg-t=3mf\]                         ?(i) and for the monkey of mass 2m \[T=2mg=2mf\]                                  ...(ii) Adding Eqs. (i) and (ii), we get   \[\therefore \]    Acceleration, \[f=\frac{g}{5}\,m{{s}^{-2}}\]