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Answer by Eli for When to apply $I_c \underline{\omega} = \underline{M_c}$?
Cylinder rolling in the inclined plane.starting with the free body diagram , you obtain two equationstranslation$$m\,\ddot s=-F\tag 1$$rotation$$I_{\text{CM}}\,\ddot\varphi=F\,r+\tau\tag 2$$now , if...
View ArticleAnswer by John Alexiou for When to apply $I_c \underline{\omega} =...
The expression $ \underline{M}_c = \mathrm{I}_c \,\underline{\omega}$ is never correct. I think you forgot the time derivative of rotational velocity here. Also, the are Coriolis torques that relate to...
View ArticleWhen to apply $I_c \underline{\omega} = \underline{M_c}$?
I was solving an exercise the other day, about a rolling cylinder on an inclined plane. Initially the cylinder slides, but then it begins to roll and the problem wanted to know the velocity of the...
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