Unit 1 MCQ Bank

Varignon's Theorem

Tests the moment relation behind force resolution.

Semicircle Centroid

Checks a standard centroid value that appears repeatedly.

Perpendicular Axis Theorem

Checks where the perpendicular axis theorem is valid.

Resultant of General Force System

Tests what must be reported in a complete resultant answer.

Component Resolution

Checks whether you resolve a force correctly when the angle is measured from the vertical.

Units of Second Moment of Area

Distinguishes second moment of area from force moment.

Pure Couple

Tests the net effect of a couple.

Quarter Circle Centroid

Checks another memorized centroid location.

Centroid and Symmetry

Tests the quickest centroid shortcut for symmetric areas.

Resultant Location by Moments

Checks how the line of action of a resultant is found.

Rectangle Centroid

Checks whether the simplest centroid result is still applied correctly.

Triangle Centroid

Checks a repeated centroid rule for triangular areas.

Negative First Moment

Tests whether you subtract moments for cut-outs as well as area.

Uniform Lamina

Distinguishes geometric centroid from weighted centroid.

Centroidal Axis and MOI

Checks the minimum property of the centroidal parallel axis.

Moment of a Couple

Checks whether couple moment depends on the reference point.

Zero Moment Condition

Tests when a force produces no moment about a point.

Force-Couple System

Tests recognition of a special general-system case.

Rigid-Body Equilibrium

Separates general equilibrium from concurrent equilibrium.

Transmissibility

Tests a theorem that often appears in short theory questions.

Resolved Moments

Checks the practical use of Varignon on an oblique force.

Rectangle MOI

Checks a formula used repeatedly in composite-section problems.

Circle MOI

Distinguishes a standard circular-area MOI formula.

Composite Denominator

Tests the denominator in a centroid calculation with a cut-out.

Centroid and Area Concentration

Tests the qualitative shift of centroid in asymmetric sections.

Area Property Meaning

Separates first and second moment interpretations.

Concurrent Resultant Location

Checks what is special about the line of action in a concurrent system.

Angle from Horizontal

Checks correct use of sine and cosine under a different angle reference.

Equivalent Couple Moment

Uses the definition of a couple moment directly.

Subtracted MOI

Checks treatment of holes in second-moment calculations.

Centroid Outside Material

Tests a subtle but important centroid fact.

Perpendicular Axis Conditions

Checks the full condition set for the theorem.

Resultant Direction

Tests the standard relation between resultant components and angle.

Distance Weighting

Checks why far-away area dominates MOI.

Moment Sign Convention

Tests the procedural discipline needed for reliable moment solutions.

Moment Arm

Checks the geometric definition of the lever arm.

Unsymmetrical Composite Area

Checks what must be solved when no symmetry survives.

Resultant Magnitude from Components

Checks the final combination step for perpendicular components.

Semicircle Symmetry

Checks the direction of the centroid shift in a semicircle.

First Moment Units

Distinguishes first moment from second moment of area.

Component Shifting

Checks what area should be used inside the parallel axis theorem for a composite section.

Varignon Use Case

Checks when the theorem is most valuable in practice.

Equivalent Force-Couple Reduction

Tests a standard reduction of a general force system.

Resultant Through Reference Point

Connects line of action to moment directly.

Axis Dependence of MOI

Checks a conceptual property that affects every MOI problem.

Composite Area Sign Errors

Targets one of the most common centroid mistakes.

Moment of a Force Component

Checks correct interpretation of resolved components.