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ICUX-008 · interactive knowledge layer

Motion, Mechanism & Kinetics Explorer

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.

18mechanism cards
5mechanism families
8discrete states per lab view

Mechanism atlas

Choose the motion you want to inspect.

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

Manipulate one motion path, then inspect its static sequence.

Use the slider, Previous and Next buttons, or your keyboard arrow keys. Reduced-motion preferences suppress autoplay and keep the explainer in discrete states.

mechanism

Spur gear pair

Original ICU diagram

Loading conceptual diagram…

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.

Impossible/empty settings are rejected rather than coerced. Gear tooth counts must be whole numbers of at least 6 in this conceptual sandbox.

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.

Open source record
Reuleaux Kinematic Mechanisms Collection

Cornell University Library Digital Collections · checked 2026-09-12

Historical mechanism taxonomy and collection context.

Open source record
Simple Spur Gear Mechanism

Cornell University Library Digital Collections · checked 2026-09-12

Spur-gear motion-transfer context.

Open source record
Slider Crank Mechanism

Cornell University Library Digital Collections · checked 2026-09-12

Rotary-to-reciprocating slider-crank context.

Open source record
Universal Joint

Cornell University Library Digital Collections · checked 2026-09-12

Crossed-axis rotary transmission and nonuniform instantaneous output speed at an angle.

Open source record
Positive Return Cam

Cornell University Library Digital Collections · checked 2026-09-12

Cam/follower motion context.

Open source record
Geneva Wheel Intermittent Mechanism

Cornell University Library Digital Collections · checked 2026-09-12

Intermittent Geneva indexing context.

Open source record
Clutch and Belt Transmission

Cornell University Library Digital Collections · checked 2026-09-12

Belt transmission context.

Open source record
Planetary Gear Train

Cornell University Library Digital Collections · checked 2026-09-12

Planetary gear-train context.

Open source record

Continue through ICU

Put the abstraction back into a real machine.

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.