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Problem (1): [60 marks] In the four-bar mechanism shown below, at the instant $\theta_2 = 45^\circ$ the angular velocity of Link 2 $\omega_2 =$ 200 rad/s. $\vec{a}_{G3} = 948 \hat{i} + 78.3 \hat{j} m/s^2$ and $\vec{a}_{G4} = 240 \hat{i} + 633 \hat{j} m/s^2$ where $G_3$ and $G_4$ are at the center of the links 3 and 4, respectively. Based on the information provided in the table below, Find: 1) $\theta_3$ and $\theta_4$ 2) The reaction forces at the joints A, B, C and D. 3) The Torque $T_2$ that is applied at link 2. \begin{tabular}{|l|l|l|l|l|} \hline Length & Mass & Mass Moment of Inertia & Angular acceleration \\ (mm) & (kg) & (N.mm.$s^2$) & (rad/$s^2$) \\ \hline Link 1 AD & 325 & - & 0 \\ Link 2 & 50 & 2.66 & 0 \\ Link 3 & 425 & 1.202 & 6.74 & 6500 \\ Link 4 & 200 & 3.0479 & 59.07 & 240 \\ \hline \end{tabular} Hints: Consider the gravitational acceleration $g = 9.81 m/s^2$. Neglect the mass of the links

          Problem (1): [60 marks]
In the four-bar mechanism shown below, at the instant $\theta_2 = 45^\circ$ the angular velocity of Link 2 $\omega_2 =$
200 rad/s. $\vec{a}_{G3} = 948 \hat{i} + 78.3 \hat{j} m/s^2$ and $\vec{a}_{G4} = 240 \hat{i} + 633 \hat{j} m/s^2$ where $G_3$ and $G_4$ are at the
center of the links 3 and 4, respectively. Based on the information provided in the table below, Find:
1) $\theta_3$ and $\theta_4$
2) The reaction forces at the joints A, B, C and D.
3) The Torque $T_2$ that is applied at link 2.
\begin{tabular}{|l|l|l|l|l|}
\hline
Length & Mass & Mass Moment of Inertia & Angular acceleration \\
(mm) & (kg) & (N.mm.$s^2$) & (rad/$s^2$) \\
\hline
Link 1 AD & 325 & - & 0 \\
Link 2 & 50 & 2.66 & 0 \\
Link 3 & 425 & 1.202 & 6.74 & 6500 \\
Link 4 & 200 & 3.0479 & 59.07 & 240 \\
\hline
\end{tabular}
Hints: Consider the gravitational acceleration $g = 9.81 m/s^2$.
Neglect the mass of the links

Problem (1): [60 marks]
In the four-bar mechanism shown below, at the instant θ2 = 45^∘ the angular velocity of Link 2 ω2 =
200 rad/s. a⃗G3 = 948 î + 78.3 ĵ m/s^2 and a⃗G4 = 240 î + 633 ĵ m/s^2 where G3 and G4 are at the
center of the links 3 and 4, respectively. Based on the information provided in the table below, Find:
1) θ3 and θ4
2) The reaction forces at the joints A, B, C and D.
3) The Torque T2 that is applied at link 2.

Length Mass Mass Moment of Inertia Angular acceleration

(mm) (kg) (N.mm.s^2) (rad/s^2)

Link 1 AD 325 - 0

Link 2 50 2.66 0

Link 3 425 1.202 6.74 6500

Link 4 200 3.0479 59.07 240

Hints: Consider the gravitational acceleration g = 9.81 m/s^2.
Neglect the mass of the links

Added by Agust-N M.

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