question_answer

   Two geared shafts A and B having moments of inertia \[{{l}_{a}}\] and \[{{l}_{b}}\] angular acceleration \[{{\alpha }_{a}}\] and \[{{\alpha }_{b}}\] respectively arc meshed together. B rotates at G time the speed or A. If the gearing efficiency of the  shafts is n, then is order to accelerate B, the to which must be applied to A will be:

A) \[{{I}_{a}}{{\alpha }_{a}}+{{G}^{2}}{{I}_{b}}\frac{{{\alpha }_{a}}}{\eta }\]         

B) \[{{G}^{2}}{{I}_{a}}\frac{{{\alpha }_{b}}}{\eta }\]

C) \[{{G}^{2}}{{I}_{a}}\frac{{{\alpha }_{a}}}{\eta }\]               

D) \[{{G}^{2}}{{I}_{b}}\frac{{{\alpha }_{b}}}{\eta }\]