Unit 2 / MCQs
Unit 2 MCQ Bank
Equilibrium
Beam reactions, free-body diagrams, and classic contact problems. This is the safest high-ROI unit.
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
Question 1
Roller SupportFor a roller support on a horizontal surface in a 2D beam problem, the reaction is usually:
Question 2
UDL ConversionA UDL of intensity w over a loaded length L is replaced by which equivalent point load?
Question 3
Applied CoupleAn 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 ConversionA triangular UVL varying from 0 to w over length L is replaced by:
Question 5
Pin SupportA pin support in a 2D equilibrium problem can provide:
Question 6
Smooth ContactAt a smooth contact surface, the reaction force acts:
Question 7
Moment Centre ChoiceWhen solving beam reactions, why is it often efficient to take moments about one support first?
Question 8
Fixed SupportA fixed support in planar equilibrium can provide:
Question 9
Lami's TheoremLami's theorem applies directly only when a body is in equilibrium under:
Question 10
Smooth Cylinder ContactFor a smooth cylinder touching a smooth plane, the reaction from the plane acts:
Question 11
Partial UDL LocationA 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 ConventionIf anticlockwise moments are taken as positive, a clockwise applied couple enters the moment equation as:
Question 13
Couple PositionIf a couple is shown at a different point on the same beam, what changes in the moment equation?
Question 14
Heavier End ReactionFor a UVL that increases from left to right, which support usually carries the larger reaction?
Question 15
No Horizontal Load on BeamIf 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 LadderFor a ladder against a smooth vertical wall, the wall reaction is:
Question 17
Rough Floor on LadderAt the rough floor contact of a ladder problem, the safest free-body-model choice is usually:
Question 18
Three-Force BodyIf a rigid body is in equilibrium under exactly three non-parallel forces, their lines of action must be:
Question 19
Two-Force MemberA two-force member in equilibrium carries forces that are:
Question 20
FBD DisciplineBefore writing Sigma Fx, Sigma Fy, or Sigma M, the body must first be:
Question 21
Hinge Moment CapacityAn ideal hinge or pin support does not resist:
Question 22
Rocker SupportA rocker support on a smooth surface provides a reaction that acts:
Question 23
Load Diagram AreaThe magnitude of the equivalent point load for any distributed load equals:
Question 24
Zero Moment ContributionA point load contributes zero moment about point A if:
Question 25
Couple Effect on ReactionsAdding an external couple to a beam affects which equilibrium relationship directly?
Question 26
Vertical Load BalanceFor a simply supported beam carrying only vertical loads, the sum of vertical reactions must equal:
Question 27
Inclined Beam LoadFor 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 CollarA smooth collar sliding on a vertical guide can exert on the guide-connected member a reaction that is:
Question 29
UVL Heavy-End RuleA triangular UVL that rises from zero at A to maximum at B has its resultant located:
Question 30
Cable Force DirectionIn a wall-bracket or crane problem, the tension in a cable acts:
Question 31
Moment About BIf you take moments about support B on a simply supported beam, which reaction drops out automatically?
Question 32
Horizontal Load PathFor a beam with a pin at A and a roller at B, a horizontal external force is resisted primarily by:
Question 33
Planar Equation CountFor a rigid body in plane equilibrium, the maximum number of independent scalar equilibrium equations is:
Question 34
Equivalent Load ScopeReplacing a distributed load by its equivalent point load is valid for finding support reactions because:
Question 35
Support IdentificationWhy should support types be identified before writing equations?
Question 36
Rough Surface Reaction ModelFor a rough surface contact, it is usually best to represent the contact reaction as:
Question 37
Smooth Surface Reaction ModelFor a smooth surface, which contact-force component is guaranteed to be absent?
Question 38
Point Load ConversionWhen preparing a free-body diagram for beam reactions, a point load should be:
Question 39
UVL Reference EndFor a triangular UVL that increases from left to right, the distance L/3 should be measured from:
Question 40
Positive Couple SignIf the chosen sign convention is anticlockwise positive, an anticlockwise applied couple is entered as:
Question 41
Couple and Sigma FyWhy does an applied couple not appear in Sigma Fy = 0?
Question 42
Sphere Between Smooth PlanesFor a sphere held between two smooth planes, each plane reaction acts:
Question 43
Moment Sign DisciplineWhich practice is most reliable when writing a moment equation?
Question 44
Combined Load DiagramsIf a beam carries both a rectangular load and a triangular load, the cleanest reaction method is usually to:
Question 45
Force Through SupportIf an external point load acts exactly at support A, what is its moment about A?
Question 46
Whole-Body FBDOn the free-body diagram of the entire beam or rigid body, internal forces within the body are:
Question 47
Ladder Moment PointIn many ladder-friction problems, taking moments about the foot of the ladder is useful because it eliminates:
Question 48
Beam-Reaction StrategyFor a simply supported beam with two unknown vertical reactions, the most efficient equation sequence is often:
Question 49
Static Determinacy at SupportsA planar support arrangement is statically convenient when the number of independent reaction unknowns is:
Question 50
Beam with Pure Couple OnlyIf a simply supported beam carries only an external couple and no other loads, the support reactions must be: