The slider (C) of the toggle mechanism shown in Fig.2.15 (a) is constrained to move on a

Question:

The slider \(C\) of the toggle mechanism shown in Fig.2.15

(a) is constrained to move on a horizontal path. The crank \(O_{1} A\) rotates in the counterclockwise direction at a uniform speed of \(180 \mathrm{rpm}\).
\[ O_{1} A=200 \mathrm{~mm}, A B=400 \mathrm{~mm}, O_{2} B=300 \mathrm{~mm} \text {, and } B C=600 \mathrm{~mm} \text {. } \]
Determine

(a) velocity of slider \(C\),

(b) angular velocity of links \(A B, O_{2} B\), and \(B C\),

(c) rubbing velocities on the pins of \(25 \mathrm{~mm}\) diameter at \(A\) and \(C\), and

(d) torque required at the crank \(O_{1} A\) for a force of \(2 \mathrm{kN}\) at \(C\).

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