constraint-system
What each loop's constraint system is made of
For each mechanism: the order of the screw system its joints span, the order of the reciprocal system — the wrenches it carries without moving, which is always six minus the first — and what those wrenches are. A planar four-bar carries one force and two couples; a mechanism whose motion lies in no subgroup carries screws of finite pitch instead, and 2 of these 6 do.
Screws and reciprocal systemswide
Where it is used
- Six points and no more Machines you have met
- Six legs and a square root Several legs, one platform
- Why the platform stays flat Several legs, one platform
- What a mechanism cannot do Out of the plane
- The formula is repaired by the thing it replaced What can move
- Two ways to be overconstrained Out of the plane
- Where the arm loses a direction One path to the tool
- Fragility has a direction As built
- When the link lengths are angles Out of the plane
- The smallest screw system has a shape Out of the plane
- The freedom that does nothing One path to the tool
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