The quick-return motion mechanism of the crank and slotted lever type shaping machine is shown in Fig.

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The quick-return motion mechanism of the crank and slotted lever type shaping machine is shown in Fig. \(2.42(a)\).
\(O_{102}=800 \mathrm{~mm}, O_{1} B=300 \mathrm{~mm}, O_{2} D=1300 \mathrm{~mm}, D R=400 \mathrm{~mm}\).
The crank \(O_{1} B\) makes and angle of \(45^{\circ}\) with the vertical and rotates at \(40 \mathrm{rpm}\) in the counter clockwise direction. Find:

(a) velocity of ram \(R\), and

(b) angular velocity of link \(O_{2} D\).

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