Designing a Mechanism for Two Half Circles' Synchronous Rotation

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Micheal_Leo
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I would like to draw a mechanism that two half circles should rotate synchronous close and open as a result gears will rotate at same Value , i would like to use springs in this mechanism between circles , the other idea i know that use crank and slider , link from slider attached to both circles as a result opening and closing will happen , but i would like to use springs and the input rotational source should be one as shown in figure

Need guidance about spring using

Thank you

Mechanism Video
 

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I think we need to step back and look at why the mechanism needs to move the two quadrants or part circles. What will the quadrants be doing ?

Do the part circles move as mirror images about some plane ?