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Linkage multiplication mechanism 1




Move blue T-bar to enter positive number x

Move yellow slider to enter positive number y

Orange T-bar shows z = x*y

At point C there are 3 pink sliders (sliding in slots of violet, orange and blue bars respectively) connected together by revolution joints. The screw lead must be large enough to avoid self-locking.

The video shows operation 40*50 = 2000 and then 50*80 = 4000.

The mechanism works on congurent triangles rule. From triangles OBC and OAD: OB/OD = BC/AD

OB = x ; AD = y ; BC = z ; OD = k = 100 mm (constant) then z = (xy)/k

For the X and Y scale, 1 mm corresponds 1 unit.

For the Z scale, 1 mm corresponds 100 units.

The division x = z/y can be performed on this mechanism: enter z and y and get x.




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