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9 A Ross Yoke is commonly used as the drive mechanism for Stirling engines. The figure below shows a Ross Yoke mechanism, with variables shown. The pistons of the Stirling engine are attached to A and C and reciprocate up and down as the flywheel rotates around an angle ?. Point A is connected to the hot side piston, and Point C is connected to the cold side piston. Points B and D are pin joints which allow for rotation and translational motion. Points E and F are pin joints which are fixed in place - they only allow for rotation. Determine the mathematical equation which relates the angles a and ?

9

A Ross Yoke is commonly used as the drive mechanism for Stirling engines. The figure below shows a Ross Yoke mechanism, with variables shown. The pistons of the Stirling engine are attached to A and C and reciprocate up and down as the flywheel rotates around an angle ?. Point A is connected to the hot side piston, and Point C is connected to the cold side piston.

Points B and D are pin joints which allow for rotation and translational motion. Points E and F are pin joints which are fixed in place - they only allow for rotation. Determine the mathematical equation which relates the angles a and ?

Grade:12

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