Question 16.7: Design a four-bar mechanism such that θ12=120°, θ13=160° and...

Design a four-bar mechanism such that \theta_{12}=120^{\circ}, \theta_{13}=160^{\circ} \text { and } \phi_{12}=70^{\circ}, \phi_{13}=100^{\circ}  . Input link rotates clockwise and output link also rotates clockwise. A length of fixed link is 5 cm.

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Refer to Fig.16.21.

\theta_{12} / 2=\frac{120}{2}=60^{\circ}, \phi_{12} / 2=\frac{70}{2}=35^{\circ}, \Psi_{12}=\frac{1}{2}\left(\theta_{12}-\phi_{12}\right)=25^{\circ} .

\theta_{13} / 2=\frac{160}{2}=80^{\circ}, \phi_{13} / 2=\frac{100}{2}, \Psi_{13}=\frac{1}{2}\left(\theta_{13}-\phi_{12}\right)=30^{\circ} .

\text { 1. Draw } O _{2} O _{4}=4 cm \text {. Rotate } R_{12} \text { and } R_{13} .

\text { 2. Construct angles } \psi_{13} \text { and } \psi_{12} \text { at } R_{12} \text { and } R_{13} respectively such that the arms of the angles intersect at points A and B. Join AB to get the coupler.

\text { 3. Join } O_{2} A \text { and } O_{4} B to get the input and output links respectively.

\text { 4. } O _{2} ABO _{4} is the required mechanism.

16.21

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