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:

Question

TuteeHUB · Accepted Answer

$${{G}^{2}}{{I}_{a}}\frac{{{\alpha }_{b}}}{\eta }$$

TuteeHUB · Answer

$${{I}_{a}}{{\alpha }_{a}}+{{G}^{2}}{{I}_{b}}\frac{{{\alpha }_{a}}}{\eta }$$

TuteeHUB · Answer

$${{G}^{2}}{{I}_{a}}\frac{{{\alpha }_{a}}}{\eta }$$

TuteeHUB · Answer

$${{G}^{2}}{{I}_{b}}\frac{{{\alpha }_{b}}}{\eta }$$

1.	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.	\[{{G}^{2}}{{I}_{b}}\frac{{{\alpha }_{b}}}{\eta }\]
Answer» B. \[{{G}^{2}}{{I}_{a}}\frac{{{\alpha }_{b}}}{\eta }\]

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