Trace how motion changes form: rotation into translation, force into leverage, steady input into indexed output. Eighteen mechanism cards connect conceptual kinematics to source-visible historical and educational records.
Every card uses the same fields: mechanism, input, output, ratio, assumptions and source diagram. Filters never hide the underlying source notes.
Showing all 18 mechanisms.
gears
Spur gear pair
Two meshing external gears transfer rotary motion while reversing direction. In the ideal tooth-count model, output rotations per input rotation equal driver teeth divided by driven teeth.
Input
rotary
Output
rotary, reversed
Ratio
0.50 output turns / input turn
gears
Idler gear train
An intermediate idler adds another direction reversal. In a simple train it relocates the output shaft without changing the ideal ratio set by the first and last gears.
Input
rotary
Output
rotary, same direction
Ratio
0.50 output turns / input turn
gears
Compound gear train
Two gear stages multiply their individual speed ratios. A compound train can make large reductions without requiring one extremely large gear.
Input
rotary
Output
rotary
Ratio
0.25 output turns / input turn
gears
Rack and pinion
A pinion converts rotation into rack translation. Ideal rack travel for one full pinion revolution is the pinion pitch circumference.
Input
rotary
Output
linear
Ratio
125.66 mm travel / input turn
gears
Worm and wheel
A worm advances the wheel by a number of teeth equal to the worm starts for each worm turn. The axes are skewed, commonly near 90 degrees.
Input
rotary
Output
rotary, perpendicular axis
Ratio
0.025 output turns / input turn
gears
Simple planetary set
With the ring fixed, the carrier turns more slowly than the sun. Which member is fixed, input or output changes the planetary relationship.
Input
rotary sun
Output
rotary carrier
Ratio
0.333 carrier turns / sun turn
levers
First-class lever
A first-class lever places the fulcrum between effort and load. Longer effort arms trade greater input travel for larger ideal output force.
Input
effort force / displacement
Output
load force / displacement
Ratio
2.0× ideal force ratio
levers
Second-class lever
A second-class lever places the load between the fulcrum and effort, so the ideal force ratio is greater than one when the effort point is farther from the fulcrum.
Input
effort force / displacement
Output
load force / displacement
Ratio
3.0× ideal force ratio
levers
Third-class lever
A third-class lever puts effort between fulcrum and load. It trades force advantage for greater load-end travel and speed.
Input
effort force / displacement
Output
load speed / displacement
Ratio
0.40× ideal force ratio
motion transfer
Open belt drive
An open belt transfers rotation between separated shafts in the same direction. With no slip, speed ratio is inversely related to pulley diameter.
Input
rotary
Output
rotary, same direction
Ratio
0.50 output turns / input turn
motion transfer
Chain drive
A chain drive links toothed sprockets without relying on frictional belt contact. Ideal angular ratio follows sprocket tooth counts.
Input
rotary
Output
rotary, same direction
Ratio
0.50 output turns / input turn
cams
Radial cam and follower
A cam turns an input angle into a programmed follower displacement. Unlike a fixed gear ratio, the local motion depends on profile shape.
Input
rotary cam
Output
reciprocating linear follower
Ratio
Profile-defined lift
cams
Eccentric circular cam
Offsetting a circular cam from its rotation axis creates a simple harmonic-like follower rise and fall with peak-to-peak travel near twice the eccentricity in this ideal model.
Input
rotary
Output
reciprocating linear
Ratio
24 mm ideal peak-to-peak stroke
linkages
Slider-crank
A slider-crank converts continuous rotation into reciprocating linear motion, or the reverse. Stroke equals twice crank radius in the aligned ideal model.
Input
rotary crank
Output
reciprocating linear slider
Ratio
80 mm ideal stroke
linkages
Four-bar crank-rocker
A four-bar linkage constrains four rigid links with revolute joints. With suitable link lengths, one link can rotate continuously while another rocks through a bounded angle.
Input
rotary crank
Output
oscillating rocker
Ratio
Geometry-defined oscillation
linkages
Scotch yoke
A crank pin sliding inside a yoke slot produces direct sinusoidal slider motion. The ideal stroke is twice the crank radius.
Input
rotary crank
Output
reciprocating linear slider
Ratio
70 mm ideal stroke
motion transfer
Geneva indexer
A Geneva mechanism converts continuous driver rotation into intermittent indexed output. A six-slot wheel advances one sixth turn per engagement.
Input
continuous rotary driver
Output
intermittent rotary output
Ratio
60° index per driver turn
motion transfer
Single universal joint
A single universal joint transfers rotation between intersecting shafts. At nonzero shaft angle the average turn count is 1:1, but instantaneous output speed varies during each revolution.
Input
rotary shaft
Output
rotary shaft at an angle
Ratio
1:1 mean turns; instantaneous speed varies
Signature working experience
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mechanism
Spur gear pair
Original ICU diagram
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State 1 of 8
Ratio sandbox
Test an ideal ratio without pretending every mechanism has one.
Gear, chain and belt ratios can be expressed cleanly in simple ideal models. Lever force ratios use arm lengths. Profile- and geometry-defined mechanisms stay labeled as such.
Ideal result0.500 output turns / input turn
Ideal tooth-count ratio.
Source integrity
Documentary anchors, original explanatory visuals.
Source records support mechanism identity and qualitative relationships. The diagrams on this page are newly drawn conceptual vectors; they are not photographs of museum models or patent plates.
Truth boundary
Historical collection records and educational sources are linked below. No third-party photographs or diagrams are redistributed in the candidate. Simplified vectors expose their assumptions and are labeled “conceptual, not to scale.”
Simple Machine Web
NASA Glenn Research Center · checked 2026-09-12
Simple-machine definitions and idealized force/direction relationships for levers, pulleys and gears.
The bicycle universe already traces force and motion through concrete assemblies. Use it as a subject-specific companion rather than treating this explorer as machine diagnosis.