Talk:Chebyshev linkage

Where is the rotational motion

[It says " converts rotational motion to approximate straight-line motion" but] I can't see any rotational motion in the animation. Biscuittin (talk) 22:07, 3 February 2008 (UTC)

The blue bar is rotating around the red point. 121.91.115.139 (talk) 03:32, 21 March 2008 (UTC)

More likely the relevant rotation is of one of the green links about their lower pivot as with Hoekens linkage but since neither link does a full rotation the linkage might be said to constrain linear motion (as with the Watts linkage) rather than convert rotary motion. - Rod57 (talk) 12:23, 7 September 2012 (UTC)

When invented

What year was it invented or first published ? - Rod57 (talk) 12:13, 7 September 2012 (UTC)

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Chebyshev, Roberts, and the Luffing Crane

Horsehead Jib

Chebyshev Linkage

Roberts Linkage

I've recently been reading through the articles for the straight line mechanisms, and I noticed that the level luffing crane (specifically horse-head jib) more closely resembles a Roberts linkage rather than a Chebyshev linkage. Main reason I have is because the Chebyshev has the point resting on the midpoint of a link, and the longer links are crossed when it travels along the approximate straight portion, however the Roberts linkage already has one of its points displaced to the side and forms an existing triangle, along with the longer links not crossed when performing the straight line movement.

Does anyone have any specific links which explains why the Chebyshev would be more closely related to the luffing crane than the Roberts? Thanks.

As a sidenote, should we give the linkage used in horse-head jib cranes a spot on the list of approximate straight line linkages in the main article? It probably won't need a unique article of its own (similar to the grasshopper linkage which is just merged with the grasshopper beam engine article), but the shape in my opinion is unique enough that it could be a distinct linkage of itself.

--Arglin Kampling (talk) 16:20, 12 April 2022 (UTC)

Clarifying "Equations of motion"

The symbol $O_{2}$, denoting the fixed endpoint of the link $L_{4}$ in the equation for $\varphi _{2}$, is defined neither in the article nor in the figures. Is this notation adhering to some unstated standard? ~2025-35411-57 (talk) 22:30, 21 November 2025 (UTC)