Design a four-bar mechanism such that \theta_{12}=120^{\circ}, \theta_{13}=160^{\circ} \text { and } \phi_{12}=70^{\circ}, \phi_{12}=70^{\circ}, \phi_{13}=100^{\circ} . Input link rotates clockwise and output link rotates anti-clockwise. Length of fixed link is 10 cm.
Question 16.8: Design a four-bar mechanism such that θ12=120°, θ13=160° and...
Refer to Fig.16.22.
\theta_{12} / 2=60^{\circ}, \phi_{12} / 2=35^{\circ}, \Psi_{12}=180^{\circ}-\frac{1}{2}\left(\theta_{12}+\phi_{12}\right)=180^{\circ}-(60+35)=85^{\circ} .
\theta_{13} / 2=80^{\circ}, \phi_{13} / 2=50^{\circ}, \Psi_{13}^{\prime}=180^{\circ}-\frac{1}{2}\left(\theta_{13}+\phi_{13}\right)=180^{\circ}-(80+50)=50^{\circ} .
\text { 1. Draw } O_{2} O_{4}=10 cm \text {, with } O_{2} \text { as centre rotate } O_{2} O_{4} \text { anti-clockwise through } 60^{\circ} \text {. With } O_{4} \text { as centre } \text { rotate } O _{2} O _{4} \text { through } 35^{\circ} \text { clockwise. Intersection of these two arcs give } R_{12}.
\text { 2. With } O _{2} \text { as centre rotate } O _{2} O _{4} \text { anti-clockwise through } 80^{\circ} \text {. With } O _{4} \text { as centre rotate } O _{2} O _{4} \text { through } 50^{\circ} \text { clockwise. Intersection of these two arcs give } R_{13}.
\text { 3. Construct angles } \psi_{12} \text { and } \psi_{13} \text { at the points } R_{12} \text { and } R_{13} \text { respectively such that the arms of the angles intersect at A and B. Join AB to get the coupler AB.}\text { 4. Join } A \text { with } O_{2} \text { and } B \text { with } O_{4} \text { to get the input and output links. } .
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