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Mathematics of the Slider Cranks >
3. Offset Slider Cranks: C04, D01
There are many variations of the slider crank. The most common is to have the slider B constrained to move along a straight line that does not contain C. This is called the off-set slider crank. See the following two figures of C04 and D01.
Now, similar to analysis in 1. Generic Slider Crank before, we obtain: , where d = DD’ is the distance of C from the straight line constraint for the slider.
Also, notice that (***) .
By the Pythagorean Theorem, . Thus,
The offset slider crank can have the same four inversions depending on which part of the mechanism is held fixed.
1. Generic Slider Crank (C02)
2. Inversions of the Slider Crank (C02, C05, D2)
4. Topological Extensions of the Slider Crank (D14, D07, D08, C06)