EEI CAST study materials
EEI CAST study resources

EEI CAST key terms

EEI CAST · Get comfortable with the vocabulary.

Perpendicular moment arm

The shortest perpendicular distance from the pivot to the force’s line of action, used to calculate the moment rather than an arbitrary lever length.

Ideal mechanical advantage

The ratio of load force to effort force in the stated lossless model, which exchanges force and distance without creating energy.

Simple idler gear

An intermediate gear that transmits motion and affects direction without changing the overall first-to-last ratio in the specified simple gear train.

Passage-supported inference

A conclusion justified by the actual supplied text and its conditions, rather than by an attractive outside assumption or invented workplace policy.

First-class lever

An arrangement with the pivot between effort and load, whose actual force advantage depends on the stated perpendicular moment arms.

Second-class lever

An ideal lever arrangement with the load between pivot and effort, exchanging effort force and movement distance under its stated geometry.

Third-class lever

An arrangement with effort between pivot and load, commonly favoring movement range or speed rather than reducing the required ideal effort force.

Gear ratio

A stated relation between input and output motion determined by the applicable tooth counts and arrangement, with direction and losses assessed separately.

Belt no-slip model

A simplifying relationship between pulley pitch diameters and rotational speeds that assumes compatible contact and neglects actual slip or belt losses.

Perpendicular force component

The portion of a force relevant to a specified direction or moment calculation, rather than automatically using the whole force magnitude.

Unit conversion

A change of numerical representation preserving the same physical quantity, requiring powers of the conversion factor for area and volume.

Rate relationship

A comparison of quantity change with time that requires consistent units and the stated assumptions about whether the rate stays constant.

Drawing scale

The ratio relating view size to represented size, which must not override an explicitly specified physical dimension on a technical drawing.

Center distance

A specified separation between the relevant centers, which should not be confused with an outside edge-to-edge distance or an arbitrary sketch length.

Ideal work balance

Equality of supplied input and output work in the stated lossless machine model, explaining why a force advantage does not create energy.

Frictional resistance

A contact-dependent opposition modeled under stated conditions, distinct from a force that has one universal value regardless of normal load and surface state.

Sequence condition

A stated prerequisite or ordering relationship that must be preserved when answering from an instruction rather than silently omitted for convenience.

Relevant exception

A condition in a supplied passage that limits its general instruction and must be considered before selecting an apparently broad summary.

Magnitude check

A rough comparison of a calculated result with plausible scales and units, useful for detecting a misplaced factor or inconsistent conversion.

Compound gear shaft

A common shaft carrying different gears whose combined ratios must be followed explicitly rather than treated as a simple freely turning idler.