inclined plane
Enable an agent to recognise an inclined plane, assess its geometry and condition, and determine how a specified load may safely move along it.
Research draft, second pass
A second pass drafted this model: the structure a model of this thing needs, and what is known about it in the world. The line under this one says how the second half was obtained - researched against sources, or recalled without web access, in which case nothing here was read anywhere and every claim is a lead to verify. Unreviewed either way.
recalled by Codex without web access - no source was read
Researched by: Codex
Purpose and description
Enable an agent to recognise an inclined plane, assess its geometry and condition, and determine how a specified load may safely move along it.
An inclined plane is a flat supporting surface set at an angle to the horizontal that functions as a simple machine by allowing a load to change elevation over a longer travel distance with less applied force than direct lifting under ideal conditions.
It can be Measure the slope and determine whether a load fits the usable path and its end transitions.; Estimate uphill effort and travel distance under explicit load, contact and force-direction assumptions.; Assess downhill acceleration, braking and holding needs for a specified load.; Compare a proposed load and contact footprint with documented structural limits.; Inspect surface grip, supports, attachments and edge provisions before movement.; Identify when contamination, damage or uncertain capacity requires restricting use pending assessment..
Distinguishing features
Its working surface has an elevation difference along a substantially straight, planar travel direction; a horizontal platform does not.
It provides a load path along a slope; being a tilted panel alone does not establish the simple-machine sense covered here.
In ordinary use, the load travels relative to the sloping surface; a wedge instead advances its taper into or beneath material.
The travel path is continuous rather than a succession of discrete treads and risers.
Its slope is measured relative to gravity-defined horizontal, whereas a mathematical plane has no inherent uphill direction.
Scope
+ A substantially planar load-bearing surface inclined relative to local horizontal
+ Rise, horizontal run, slope length, width and transitions at the ends
+ Force, travel distance and energy relationships for loads moving along the slope
+ Sliding, rolling, traction and resistance at the load-surface interface
+ Surface condition, structural support and provisions against unintended movement
- The general mathematical plane and its coordinate geometry
- Aircraft and woodworking tools called planes
- Wedges driven into material to separate or lift it, and screws using helical inclined surfaces
- Stairs and continuously curved tracks requiring different path models
- The internal mechanisms of vehicles, hoists or conveyors using the inclined plane
- Complete buildings, road networks and accessibility routes containing inclined segments
Characteristics
- Vertical rise
- m Establishes the elevation change and gravitational potential-energy change for a specified load.
- Horizontal run and slope length
- m for each Separates footprint from travel distance and permits consistency checks against rise and angle.
- Longitudinal inclination
- degrees from horizontal; alternatively percent grade defined as 100 × rise/run Determines gravity components along and normal to the working surface.
- Usable width and cross-slope
- m; degrees or percent transverse grade Constrains load fit, lateral clearance and the tendency to drift toward an edge.
- Load contact mode
- sliding, rolling, stationary support, mixed Selects the relevant resistance, traction and restraint model.
- Interface resistance
- dimensionless static and kinetic friction coefficients for specified material pairs and conditions; rolling resistance in N under stated test conditions Supports estimates of starting effort, continued motion and holding requirements without treating friction as a property of the plane alone.
- Permitted loading
- N or kg with stated gravity, load distribution, contact footprint and support configuration Distinguishes a documented load limit from an unsupported estimate based on appearance.
- Support and attachment arrangement
- Connections to ground, foundations, supports, hinges, anchors or receiving platforms Identifies the load path and whether the plane can slip, overturn or disengage.
- Working-surface condition
- dry, wet, contaminated, icy, worn, damaged or unknown; multiple states may apply Changes available traction, resistance and confidence in planned movement.
- Deployment state
- fixed in service, deployed and secured, deployed but unsecured, stowed, withdrawn from service or unknown Separates the presence of a slope from readiness to carry a load.
Also called
Where this came from
wikidata · CC0 1.0
Drafted structure
Bundle to layer to finding to question, as the second pass will find it: 6 bundles · 11 layers · 17 findings · 27 questions.
Inclined-plane identity Establishes the physical simple-machine sense and the limits of the working surface.
The name overlaps with abstract geometry and related machines whose operating boundaries differ.
Physical slope sense
Identifies what inclination and load-bearing role add to the broader plane concept.
Load path on a plane
Record whether the candidate supplies a substantially planar path between elevations for moving or supporting a load.
- Which surface carries the load, and what elevation-changing role establishes it as an inclined plane? definition
- What properties belong to the broader plane model, and what inclination-specific properties does this model add? boundary
Working-surface boundary
Separates the slope from neighbouring mechanisms and infrastructure.
Surface and assembly limits
Identify the working segment, its immediate supports and its interfaces with surrounding equipment.
- Where does the inclined working surface begin and end, including any transition plates? boundary
- Does the load move along this surface, or does the tapered body move into the load in a way better represented as a wedge? boundary
Slope and clearance Describes elevation change, available travel space and entry and exit geometry.
Slope geometry controls the force-distance tradeoff, while clearances determine whether the intended load can traverse it.
Longitudinal profile
Records mutually consistent rise, run, length and inclination.
Measured slope geometry
Capture dimensions with their reference points and establish whether one plane adequately represents the path.
- What are the vertical rise, horizontal run and working slope length between the same endpoints? measurement
- How much does the actual profile depart from a straight plane, and does that require separate inclined segments? boundary
Transverse and end clearance
Examines width, cross-slope and junctions with adjacent surfaces.
Traversable envelope
Record the space available to the load and the discontinuities that may cause grounding, snagging or lateral departure.
- What usable width, overhead clearance and cross-slope exist along the intended travel path? measurement
- Can the specified load cross the lower and upper transitions without grounding, wheel trapping or losing required support? action
Force and travel Connects load movement to gravitational forces, applied effort and energy.
The inclined plane's defining mechanical role is to exchange a longer travel path for reduced ideal uphill effort.
Ideal mechanical relation
Defines a reference calculation before adding resistance or acceleration.
Ideal effort assumptions
For a load moving at constant speed with effort parallel to a frictionless slope, relate effort to mg sin(theta) and ideal mechanical advantage to slope length divided by rise.
- What load mass, local gravitational acceleration and inclination are used in the calculation? measurement
- Is effort parallel to the slope and motion at constant speed, or must the force balance account for another direction or acceleration? boundary
Energy and descent
Tracks the energy required for ascent and released during descent.
Work and energy destination
Distinguish elevation-related energy change from losses, kinetic-energy change and energy absorbed by braking.
- What gravitational potential-energy change follows from the specified mass and rise? measurement
- During descent, what mechanism limits speed and where does the released energy go? action
Contact and motion Describes how a particular load grips, slides or rolls on the slope.
The same plane can resist a sliding load yet allow a wheeled load to roll away; contact evidence is essential to predicting behaviour.
Interface evidence
Associates resistance and traction with a specified contact pair and environmental condition.
Contact-specific resistance
Record contact materials, motion mode and the evidence supporting any friction or rolling-resistance estimate.
- Which materials, wheels or rollers contact the plane, and under what surface and loading conditions? definition
- What measurement or documented test supports the resistance values used for this interface? provenance
Motion and holding thresholds
Separates starting, sustained travel and stationary holding.
Start, stop and hold
Assess the effort and restraints required for each motion state rather than assuming one friction value answers every case.
- What forces or torques are required to start uphill motion, maintain travel and arrest downhill motion for the specified load? measurement
- What prevents sliding or rolling while the load is parked or while applied effort is interrupted? action
Load bearing and use readiness Connects structural capacity, secure installation and slope-specific hazards to permitted use.
Acceptable travel mechanics do not establish that the surface, supports or attachments can carry the load in their current state.
Capacity and support
Identifies the load path and the conditions attached to capacity evidence.
Supported load envelope
Relate documented loading limits to concentrated contacts, dynamic effects, support spacing and attachment configuration.
- What source establishes capacity, and which load distribution, support arrangement and dynamic allowances does it assume? provenance
- Do the intended wheel or foot contact loads and the deployed support configuration fall within those documented conditions? action
Slope-specific operating condition
Assesses conditions that can cause loss of grip, edge departure or separation from a landing.
Readiness and use constraints
Record observed surface and attachment condition, required movement controls and application-specific operating limits.
- What inspection evidence establishes surface grip, structural condition and secure engagement with the receiving support? provenance
- Which observed defects or unmet application requirements require cleaning, repair, restraint, reduced loading or withdrawal from service? action
Evidence and external alignment What the world already says about this thing, gathered so the model can be checked against it.
A model that cannot be lined up against existing standards, identifiers and practice cannot be adopted by anyone who already uses them.
Reported evidence
Findings from the breadth pass, kept separate from the structural claims.
Check these first
Recalled without web access and unsourced; every item is a lead to verify.
- This describes the physical simple-machine sense, rather than an arbitrarily oriented plane in geometry.
- Ideal force reduction assumes negligible friction and effort parallel to the surface; it trades force for distance without reducing the required work.
- Dimensions, load capacities, permissible gradients, and applicable standards require a specified application; no universal typical values are asserted.
- Which of these check these first hold for the sense of inclined plane this model covers, and on what evidence? provenance
Kinds and varieties
Recalled without web access and unsourced; every item is a lead to verify.
- Fixed ramp
- Portable ramp
- Adjustable-inclination ramp
- Which of these kinds and varieties hold for the sense of inclined plane this model covers, and on what evidence? provenance
Real-world use
Recalled without web access and unsourced; every item is a lead to verify.
- Loading goods into vehicles or onto elevated platforms
- Providing pedestrian and wheelchair access between elevations
- Moving materials along gravity-fed chutes
- Launching and retrieving boats on slipways
- Teaching and measuring friction and motion in mechanics experiments
- Which of these real-world use hold for the sense of inclined plane this model covers, and on what evidence? provenance
Typical measurements
Recalled without web access and unsourced; every item is a lead to verify.
- Inclination angle - Application-dependent; strictly between 0 and 90 for an inclined surface relative to horizontal - degree
- Gradient - Application-dependent; calculated as 100 times vertical rise divided by horizontal run - %
- Ideal mechanical advantage - Greater than 1; equals slope length divided by vertical rise when effort acts parallel to the frictionless plane - dimensionless
- Which of these typical measurements hold for the sense of inclined plane this model covers, and on what evidence? provenance
Failure modes and hazards
Recalled without web access and unsourced; every item is a lead to verify.
- Loads sliding or rolling uncontrollably downhill
- Excessive friction increasing the force needed to move a load
- Insufficient traction causing people or vehicles to slip
- Structural collapse, excessive deflection, or displacement under load
- Loads tipping or falling from unguarded edges
- Which of these failure modes and hazards hold for the sense of inclined plane this model covers, and on what evidence? provenance
Regional variation
Recalled without web access and unsourced; every item is a lead to verify.
- Gradient may be expressed as a percentage, an angle, or a rise-to-run ratio.
- Requirements for access ramps and loading ramps vary by jurisdiction and use.
- Which of these regional variation hold for the sense of inclined plane this model covers, and on what evidence? provenance
Neighbouring kinds and how to tell them apart
Recalled without web access and unsourced; every item is a lead to verify.
- plane - A geometric plane is an ideal flat surface extending indefinitely; an inclined plane in this sense is a physical supporting surface used to move loads between elevations.
- wedge - A wedge typically moves into or between materials to separate or lift them; an inclined plane typically supports a load moving along its surface.
- screw - A screw uses a helical thread to convert rotation into axial motion or force; an inclined plane provides a straight sloping path.
- ramp - A straight, flat ramp is a practical inclined plane; ramps can also have curved paths or changing gradients outside the single-plane idealization.
- Which of these neighbouring kinds and how to tell them apart hold for the sense of inclined plane this model covers, and on what evidence? provenance
What the second pass must settle
- Does the registry intend only the simple-machine sense, or also natural slopes and inclined surfaces without an identified load-handling function?
- Which existing Vercy plane, ramp or simple-machine models should supply shared concepts or serve as the authoritative model to avoid duplication?
- What application-specific tolerance for curvature, roughness and deflection determines when one inclined plane must be represented as multiple segments or a different path type?
- Which primary sources provide defensible friction, rolling-resistance and capacity evidence for the intended materials and load classes?
- Which jurisdictions and intended uses apply, and what verified requirements do they impose on slope, width, landings, edge protection, inspection and loading?