Engineering Mechanics: Statics Actual
Exam 2026 Complete Questions and
Verified Answers with Detailed
Rationales 100% Correct Grade A Pass
Guaranteed - A+ Graded
1. A force is completely defined by which four characteristics?
A. Mass, density, length, and area
B. Magnitude, direction, line of action, and point of application
C. Velocity, acceleration, time, and displacement
D. Pressure, volume, temperature, and mass
Answer: B
Rationale: In statics, a force is a vector quantity completely described by its
magnitude, direction, line of action, and point of application. Changing any of
these characteristics changes the mechanical effect of the force on a body.
2. Which condition must exist for a particle to be in static equilibrium?
A. The sum of moments equals one.
B. The sum of horizontal forces equals the sum of vertical forces.
C. The vector sum of all forces acting on the particle equals zero.
D. Every force has the same magnitude.
Answer: C
Rationale: A particle is in equilibrium when the resultant of all applied forces is
zero, meaning there is no acceleration according to Newton's First Law.
,3. A force of 100 N acts at an angle of 30° above the positive x-axis. What is its
horizontal component?
A. 50.0 N
B. 86.6 N
C. 100.0 N
D. 57.7 N
Answer: B
Rationale: The horizontal component is calculated as
Fx=Fcosθ=100cos30∘=100(0.866)=86.6 NF_x = F\cos\theta = 100\cos30^\circ =
100(0.866) = 86.6\text{ N}Fx=Fcosθ=100cos30∘=100(0.866)=86.6 N.
4. The SI unit of moment (torque) is:
A. Newton
B. Pascal
C. Joule
D. Newton-meter (N·m)
Answer: D
Rationale: A moment is the product of force and perpendicular distance. Its SI unit
is the newton-meter (N·m), although it represents torque rather than energy.
5. The moment produced by a force is greatest when the force acts:
A. Parallel to the position vector.
B. At a 45° angle.
C. Perpendicular to the position vector.
D. Through the pivot point.
Answer: C
Rationale: Moment equals M=FrsinθM = Fr\sin\thetaM=Frsinθ. The maximum
value occurs when θ=90∘\theta = 90^\circθ=90∘, since sin90∘=1\sin90^\circ =
1sin90∘=1.
,6. Which support prevents translation in both x and y directions while allowing
rotation?
A. Roller support
B. Cable support
C. Pin support
D. Smooth surface
Answer: C
Rationale: A pin support provides two reaction forces (horizontal and vertical)
while allowing free rotation.
7. A roller support provides how many reaction components in two-dimensional
statics?
A. Zero
B. Two
C. Three
D. One
Answer: D
Rationale: A frictionless roller provides one reaction force normal to the
supporting surface while allowing motion parallel to the surface.
8. Which free-body diagram principle is correct?
A. Include only external loads.
B. Isolate the body and replace supports with reaction forces.
C. Show only applied loads.
D. Ignore unknown reactions.
Answer: B
Rationale: A free-body diagram isolates the body and replaces every support with
the appropriate unknown reaction forces and moments.
, 9. Which equation expresses moment about a point?
A. F=maF=maF=ma
B. P=F/AP=F/AP=F/A
C. M=Fd⊥M=Fd_\perpM=Fd⊥
D. W=mgW=mgW=mg
Answer: C
Rationale: Moment equals force multiplied by the perpendicular distance from the
point to the force's line of action.
10. The weight of an object acts through its:
A. Geometric center only
B. Support point
C. Base
D. Center of gravity
Answer: D
Rationale: Weight acts vertically downward through the body's center of gravity
under a uniform gravitational field.
11. Which quantity is always a vector?
A. Distance
B. Mass
C. Temperature
D. Force
Answer: D
Rationale: Force possesses both magnitude and direction, making it a vector
quantity.
Exam 2026 Complete Questions and
Verified Answers with Detailed
Rationales 100% Correct Grade A Pass
Guaranteed - A+ Graded
1. A force is completely defined by which four characteristics?
A. Mass, density, length, and area
B. Magnitude, direction, line of action, and point of application
C. Velocity, acceleration, time, and displacement
D. Pressure, volume, temperature, and mass
Answer: B
Rationale: In statics, a force is a vector quantity completely described by its
magnitude, direction, line of action, and point of application. Changing any of
these characteristics changes the mechanical effect of the force on a body.
2. Which condition must exist for a particle to be in static equilibrium?
A. The sum of moments equals one.
B. The sum of horizontal forces equals the sum of vertical forces.
C. The vector sum of all forces acting on the particle equals zero.
D. Every force has the same magnitude.
Answer: C
Rationale: A particle is in equilibrium when the resultant of all applied forces is
zero, meaning there is no acceleration according to Newton's First Law.
,3. A force of 100 N acts at an angle of 30° above the positive x-axis. What is its
horizontal component?
A. 50.0 N
B. 86.6 N
C. 100.0 N
D. 57.7 N
Answer: B
Rationale: The horizontal component is calculated as
Fx=Fcosθ=100cos30∘=100(0.866)=86.6 NF_x = F\cos\theta = 100\cos30^\circ =
100(0.866) = 86.6\text{ N}Fx=Fcosθ=100cos30∘=100(0.866)=86.6 N.
4. The SI unit of moment (torque) is:
A. Newton
B. Pascal
C. Joule
D. Newton-meter (N·m)
Answer: D
Rationale: A moment is the product of force and perpendicular distance. Its SI unit
is the newton-meter (N·m), although it represents torque rather than energy.
5. The moment produced by a force is greatest when the force acts:
A. Parallel to the position vector.
B. At a 45° angle.
C. Perpendicular to the position vector.
D. Through the pivot point.
Answer: C
Rationale: Moment equals M=FrsinθM = Fr\sin\thetaM=Frsinθ. The maximum
value occurs when θ=90∘\theta = 90^\circθ=90∘, since sin90∘=1\sin90^\circ =
1sin90∘=1.
,6. Which support prevents translation in both x and y directions while allowing
rotation?
A. Roller support
B. Cable support
C. Pin support
D. Smooth surface
Answer: C
Rationale: A pin support provides two reaction forces (horizontal and vertical)
while allowing free rotation.
7. A roller support provides how many reaction components in two-dimensional
statics?
A. Zero
B. Two
C. Three
D. One
Answer: D
Rationale: A frictionless roller provides one reaction force normal to the
supporting surface while allowing motion parallel to the surface.
8. Which free-body diagram principle is correct?
A. Include only external loads.
B. Isolate the body and replace supports with reaction forces.
C. Show only applied loads.
D. Ignore unknown reactions.
Answer: B
Rationale: A free-body diagram isolates the body and replaces every support with
the appropriate unknown reaction forces and moments.
, 9. Which equation expresses moment about a point?
A. F=maF=maF=ma
B. P=F/AP=F/AP=F/A
C. M=Fd⊥M=Fd_\perpM=Fd⊥
D. W=mgW=mgW=mg
Answer: C
Rationale: Moment equals force multiplied by the perpendicular distance from the
point to the force's line of action.
10. The weight of an object acts through its:
A. Geometric center only
B. Support point
C. Base
D. Center of gravity
Answer: D
Rationale: Weight acts vertically downward through the body's center of gravity
under a uniform gravitational field.
11. Which quantity is always a vector?
A. Distance
B. Mass
C. Temperature
D. Force
Answer: D
Rationale: Force possesses both magnitude and direction, making it a vector
quantity.
