What geometric path is traced by a coupler point in a double slider crank mechanism____________________?
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Answer: E. ellipse
Explanation
A coupler point in an ellipse-generating double slider crank mechanism traces an exact elliptical path. Geometric constraints imposed by the two perpendicular sliding axes force the intermediate coupler point to follow ellipse equations. This mechanical linkage principle is utilized in specialized drafting instruments designed to draw perfect ellipses. Double slider crank mechanisms consist of a link with two sliding joints moving in perpendicular guide slots. Coupler curves generated by points on connecting rods can create various geometric shapes depending on link proportions. Ellipsographs use this mechanical motion to generate precise elliptical curves without relying on graphical approximations.
Option A describes a straight line, which is traced by specific cardanic motion points rather than general ellipses. Option B represents circular paths, which are typically generated by simple rotating crank mechanisms. Option C and D propose parabolic and hyperbolic curves that do not match standard double slider coupler paths.
- Subject
- Engineering
- Category
- Mechanical Engineering
- Topic
- —
- Difficulty
- medium
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