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Unit 2 / MCQs

Unit 2 MCQ Bank

Equilibrium

Beam reactions, free-body diagrams, and classic contact problems. This is the safest high-ROI unit.

50 questions50 openfree through June 30, 2026Free beta active

Unit 2 MCQ Bank

50 questions focused on the repeated in-sem and short-answer concepts.

The full bank is temporarily open through this beta window. Questions 4 to 50 are normally the paid repetition layer, but they are open right now.

Free Sampler

Start with Questions 1 to 3

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Question 1

Roller Support

For a roller support on a horizontal surface in a 2D beam problem, the reaction is usually:

Question 2

UDL Conversion

A UDL of intensity w over a loaded length L is replaced by which equivalent point load?

Question 3

Applied Couple

An applied couple on a beam appears in which equilibrium equation?

Extended Set

Questions 4 to 50 are temporarily free

The harder repetition layer is open through the beta window, including hints and explanations.

Question 4

UVL Conversion

A triangular UVL varying from 0 to w over length L is replaced by:

Question 5

Pin Support

A pin support in a 2D equilibrium problem can provide:

Question 6

Smooth Contact

At a smooth contact surface, the reaction force acts:

Question 7

Moment Centre Choice

When solving beam reactions, why is it often efficient to take moments about one support first?

Question 8

Fixed Support

A fixed support in planar equilibrium can provide:

Question 9

Lami's Theorem

Lami's theorem applies directly only when a body is in equilibrium under:

Question 10

Smooth Cylinder Contact

For a smooth cylinder touching a smooth plane, the reaction from the plane acts:

Question 11

Partial UDL Location

A UDL acts only over the first 4 m of a 10 m beam. Where does its equivalent point load act from the left end?

Question 12

Moment Sign Convention

If anticlockwise moments are taken as positive, a clockwise applied couple enters the moment equation as:

Question 13

Couple Position

If a couple is shown at a different point on the same beam, what changes in the moment equation?

Question 14

Heavier End Reaction

For a UVL that increases from left to right, which support usually carries the larger reaction?

Question 15

No Horizontal Load on Beam

If a beam has a pin at A, a roller at B, and all applied loads are vertical, then the horizontal reaction at A is:

Question 16

Smooth Wall on Ladder

For a ladder against a smooth vertical wall, the wall reaction is:

Question 17

Rough Floor on Ladder

At the rough floor contact of a ladder problem, the safest free-body-model choice is usually:

Question 18

Three-Force Body

If a rigid body is in equilibrium under exactly three non-parallel forces, their lines of action must be:

Question 19

Two-Force Member

A two-force member in equilibrium carries forces that are:

Question 20

FBD Discipline

Before writing Sigma Fx, Sigma Fy, or Sigma M, the body must first be:

Question 21

Hinge Moment Capacity

An ideal hinge or pin support does not resist:

Question 22

Rocker Support

A rocker support on a smooth surface provides a reaction that acts:

Question 23

Load Diagram Area

The magnitude of the equivalent point load for any distributed load equals:

Question 24

Zero Moment Contribution

A point load contributes zero moment about point A if:

Question 25

Couple Effect on Reactions

Adding an external couple to a beam affects which equilibrium relationship directly?

Question 26

Vertical Load Balance

For a simply supported beam carrying only vertical loads, the sum of vertical reactions must equal:

Question 27

Inclined Beam Load

For a beam carrying one inclined point load, which part of that load enters the moment equation about a support on the beam axis?

Question 28

Smooth Collar

A smooth collar sliding on a vertical guide can exert on the guide-connected member a reaction that is:

Question 29

UVL Heavy-End Rule

A triangular UVL that rises from zero at A to maximum at B has its resultant located:

Question 30

Cable Force Direction

In a wall-bracket or crane problem, the tension in a cable acts:

Question 31

Moment About B

If you take moments about support B on a simply supported beam, which reaction drops out automatically?

Question 32

Horizontal Load Path

For a beam with a pin at A and a roller at B, a horizontal external force is resisted primarily by:

Question 33

Planar Equation Count

For a rigid body in plane equilibrium, the maximum number of independent scalar equilibrium equations is:

Question 34

Equivalent Load Scope

Replacing a distributed load by its equivalent point load is valid for finding support reactions because:

Question 35

Support Identification

Why should support types be identified before writing equations?

Question 36

Rough Surface Reaction Model

For a rough surface contact, it is usually best to represent the contact reaction as:

Question 37

Smooth Surface Reaction Model

For a smooth surface, which contact-force component is guaranteed to be absent?

Question 38

Point Load Conversion

When preparing a free-body diagram for beam reactions, a point load should be:

Question 39

UVL Reference End

For a triangular UVL that increases from left to right, the distance L/3 should be measured from:

Question 40

Positive Couple Sign

If the chosen sign convention is anticlockwise positive, an anticlockwise applied couple is entered as:

Question 41

Couple and Sigma Fy

Why does an applied couple not appear in Sigma Fy = 0?

Question 42

Sphere Between Smooth Planes

For a sphere held between two smooth planes, each plane reaction acts:

Question 43

Moment Sign Discipline

Which practice is most reliable when writing a moment equation?

Question 44

Combined Load Diagrams

If a beam carries both a rectangular load and a triangular load, the cleanest reaction method is usually to:

Question 45

Force Through Support

If an external point load acts exactly at support A, what is its moment about A?

Question 46

Whole-Body FBD

On the free-body diagram of the entire beam or rigid body, internal forces within the body are:

Question 47

Ladder Moment Point

In many ladder-friction problems, taking moments about the foot of the ladder is useful because it eliminates:

Question 48

Beam-Reaction Strategy

For a simply supported beam with two unknown vertical reactions, the most efficient equation sequence is often:

Question 49

Static Determinacy at Supports

A planar support arrangement is statically convenient when the number of independent reaction unknowns is:

Question 50

Beam with Pure Couple Only

If a simply supported beam carries only an external couple and no other loads, the support reactions must be: