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Unformatted text preview: alpha and Ag are independent. Hence, a ball sliding and rotating performs an unconstrained plane motion. Ball rolls without slipping then Acx=0 and Ag=alpha*r. Now there is a relationship between Ag and alpha making them dependent. This motion is constrained. Ball slips in this problems so use case A. • In constrained motion, a definite relation exists between the components of acceleration abar of the mass center and alpha • Pure rotation is tangential and normal equations, abar=alpha*rbar +w^2*rbar • If we take moment about pin O, it is Mo=Io*alpha • We can now take moment about O in constrained case as well Summary: Ag doesn’t depend on alpha so unconstrained motion...
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 Spring '10
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 Dynamics, Strain, Plane Motion

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