Question

For the following general linkage use the data to find the accelerations \( a_{\operatorname{cg} 2}, a_{\operatorname{cg} 3} \), \( \mathrm{a}_{\mathrm{cg} 4} \), dynamic force for the system and the moment created at \( \mathrm{O}_{2} \) and \( \mathrm{O}_{4} \) by this dynamic force. Follow the convention and assume any missing information logically. \begin{tabular}{|c|c|c|c|c|c|c|c|c|} \hline Link 1 & Link 2 & Link 3 & Link 4 & \( \delta_{2} \) & \( \delta_{3} \) & \( \delta_{4} \) & \( \omega_{2} \) & \( \alpha_{2} \) \\ \hline \( 50 \mathrm{~cm} \) & \( 30 \mathrm{~cm} \) & \( 40 \mathrm{~cm} \) & \( 45 \mathrm{~cm} \) & \( 17 \mathrm{~cm} \) & \( 25 \mathrm{~cm} \) & \( 32 \mathrm{~cm} \) & \( -20 \mathrm{rad} / \mathrm{s} \) & \( 30 \mathrm{rad} / \mathrm{s}^{2} \) \\ \hline \end{tabular} \begin{tabular}{|c|c|c|} \hline\( m_{2} \) & \( m_{3} \) & \( m_{4} \) \\ \hline \( 2 \mathrm{~kg} \) & \( 5 \mathrm{~kg} \) & \( \mathbf{3 k g} \) \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|} \hline\( \theta_{1} \) & \( \theta_{2} \) & \( \Phi_{2} \) & \( \Phi_{3} \) & \( \Phi_{4} \) \\ \hline \( 20^{\circ} \) & ID & \( 20^{\circ} \) & \( 35^{\circ} \) & \( -15^{\circ} \) \\ \hline \end{tabular}

          For the following general linkage use the data to find the accelerations \( a_{\operatorname{cg} 2}, a_{\operatorname{cg} 3} \), \( \mathrm{a}_{\mathrm{cg} 4} \), dynamic force for the system and the moment created at \( \mathrm{O}_{2} \) and \( \mathrm{O}_{4} \) by this dynamic force. Follow the convention and assume any missing information logically.
\begin{tabular}{|c|c|c|c|c|c|c|c|c|}
\hline Link 1 & Link 2 & Link 3 & Link 4 & \( \delta_{2} \) & \( \delta_{3} \) & \( \delta_{4} \) & \( \omega_{2} \) & \( \alpha_{2} \) \\
\hline \( 50 \mathrm{~cm} \) & \( 30 \mathrm{~cm} \) & \( 40 \mathrm{~cm} \) & \( 45 \mathrm{~cm} \) & \( 17 \mathrm{~cm} \) & \( 25 \mathrm{~cm} \) & \( 32 \mathrm{~cm} \) & \( -20 \mathrm{rad} / \mathrm{s} \) & \( 30 \mathrm{rad} / \mathrm{s}^{2} \) \\
\hline
\end{tabular}
\begin{tabular}{|c|c|c|}
\hline\( m_{2} \) & \( m_{3} \) & \( m_{4} \) \\
\hline \( 2 \mathrm{~kg} \) & \( 5 \mathrm{~kg} \) & \( \mathbf{3 k g} \) \\
\hline
\end{tabular}
\begin{tabular}{|c|c|c|c|c|}
\hline\( \theta_{1} \) & \( \theta_{2} \) & \( \Phi_{2} \) & \( \Phi_{3} \) & \( \Phi_{4} \) \\
\hline \( 20^{\circ} \) & ID & \( 20^{\circ} \) & \( 35^{\circ} \) & \( -15^{\circ} \) \\
\hline
\end{tabular}

For the following general linkage use the data to find the accelerations acg 2, acg 3, acg 4, dynamic force for the system and the moment created at O2 and O4 by this dynamic force. Follow the convention and assume any missing information logically.

Link 1 Link 2 Link 3 Link 4 δ2 δ3 δ4 ω2 α2

50 cm 30 cm 40 cm 45 cm 17 cm 25 cm 32 cm -20 rad / s 30 rad / s^2

m2 m3 m4

2 kg 5 kg 3 𝐤 𝐠

θ1 θ2 Φ2 Φ3 Φ4

20^∘ ID 20^∘ 35^∘ -15^∘

Added by Sajedul I.

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