For the mechanism shown in Fig.3.18(a), find the angular accelerations of the links (A B, B O_{2})

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For the mechanism shown in Fig.3.18(a), find the angular accelerations of the links \(A B, B O_{2}\) and the linear accelerations of points \(C, D\), and E. \(\omega=10 \mathrm{rad} / \mathrm{s}, \alpha=200 \mathrm{rad} / \mathrm{s}^{2}\).
\[ \begin{gathered} O_{1} \mathrm{O}_{2}=100 \mathrm{~mm}, O_{1} A=50 \mathrm{~mm}, A B=45 \mathrm{~mm}, A D=30 \mathrm{~mm}, A C=45 \mathrm{~mm} \\ B C=30 \mathrm{~mm}, O_{2} B=55 \mathrm{~mm}, O_{2} E=45 \mathrm{~mm}, \text { and } B E=25 \mathrm{~mm} \end{gathered} \]

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