22-01-2012, 17:07
esta bien planteado?
\[a_{a}=\gamma .r_{1}\]
\[a_{b}=\gamma .r_{2}\]
bloque a)
\[T_{a}-F_{roz}=m_{a}.a_{a}\] \[\Rightarrow \] \[T_{a}=F_{roz} + m_{a}.a_{a}\] \[\Rightarrow \]\[T_{a}=F_{roz} + m_{a}.\gamma .r_{1}\]
bloque b)
\[P_{b}-T_{b}=m_{b}.a_{b}\]\[\Rightarrow \]\[T_{b}= P_{b}-m_{b}.a_{b}\]\[\Rightarrow \]\[T_{b}= P_{b}-m_{b}.\gamma .r_{2}\]
cilindro)
\[M_{cilindro}=I_{cm}.\gamma =T_{b}.r_{2} - T_{a}.r_{1}\] \[\Rightarrow \]
\[I_{cm}.\gamma =(P_{b}-m_{b}.\gamma .r_{2}).r_{2} - (F_{roz} + m_{a}.\gamma .r_{1}).r_{1}\]
y despejo \[\gamma \] y remplazo en
\[a_{a}=\gamma .r_{1}\]
\[a_{b}=\gamma .r_{2}\]