Introduction to Statics: Master the Fundamentals of Engineering Mechanics

Question 1

Which of the following is a vector quantity used in statics?

Accepted Answer

Force

Answer

Mass

Answer

Energy

Answer

Temperature

Question 2

The magnitude of a vector quantity is expressed in:

Accepted Answer

Units of the quantity

Answer

Component form

Answer

Dot product

Answer

Cross product

Question 3

Which of the following is a correct definition of a free body diagram?

Accepted Answer

A diagram showing only the external forces acting on an object

Answer

A diagram showing all the forces acting on an object

Answer

A diagram showing only the internal forces acting on an object

Answer

A diagram showing the motion of an object

Question 4

The sum of all forces acting on an object in static equilibrium is:

Accepted Answer

Zero

Answer

Non-zero but constant

Answer

Equal to its mass

Answer

Dependent on its acceleration

Question 5

Which of the following is a unit of torque?

Accepted Answer

Newton-meter

Answer

Kilogram-meter

Answer

Joule

Answer

Watt

Question 6

Which of the following is NOT a factor affecting the stability of a structure?

Accepted Answer

Age of the structure

Answer

Center of gravity

Answer

Base area

Answer

Weight distribution

Question 7

Which of the following is the SI unit of force?

Accepted Answer

Newton

Answer

Kilogram

Answer

Joule

Answer

Watt

Question 8

What is the purpose of a free body diagram?

Accepted Answer

To show all the forces acting on an object

Answer

To show all the moments acting on an object

Answer

To show the displacement of an object

Answer

To show the velocity of an object

Question 9

Which of the following is the equilibrium equation for forces acting on an object in the x-direction?

Accepted Answer

∑Fx = ma

Answer

∑Fy = ma

Answer

∑F = 0

Answer

∑M = 0

Question 10

A 10 kg block is at rest on a horizontal surface with a coefficient of friction of 0.2. What is the maximum force of friction that can act on the block?

Accepted Answer

20 N

Answer

10 N

Answer

50 N

Answer

100 N

Question 11

Which of the following is NOT a type of engineering force?

Accepted Answer

Centrifugal force

Answer

Contact force

Answer

Field force

Answer

Gravitational force

Question 12

What is the moment of a force about a point?

Accepted Answer

The product of the force and the perpendicular distance from the point to the line of action of the force

Answer

The product of the force and the angle between the force and the lever arm

Answer

The product of the force and the area of the surface on which the force acts

Answer

The product of the force and the velocity of the object on which the force acts

Question 13

What is the principle of transmissibility?

Accepted Answer

A force can be moved to any point along its line of action without affecting its effect on the object.

Answer

A force can be moved to any point in the plane of action without affecting its effect on the object.

Answer

A force can be moved to any point in space without affecting its effect on the object.

Answer

A force cannot be moved from its line of action without affecting its effect on the object.

Question 14

What is the relationship between the mass moment of inertia and the radius of gyration of a rigid body?

Accepted Answer

Mass moment of inertia = (Radius of gyration)^2 * Mass

Answer

Radius of gyration = (Mass moment of inertia)^2 / Mass

Answer

Mass moment of inertia = Radius of gyration * Mass

Answer

Radius of gyration = Mass * Mass moment of inertia

Question 15

Identify the correct free body diagram for a block at rest on an inclined plane:

Accepted Answer

Weight of the block pointing downwards and a normal force pointing upwards

Answer

Weight of the block pointing downwards

Answer

Normal force pointing upwards

Answer

Weight of the block pointing downwards and a friction force pointing upwards

Question 16

A force of 100 N acts on a body at an angle of 30 degrees below the horizontal. What is the vertical component of the force?

Accepted Answer

86.6 N

Answer

50 N

Answer

100 N

Answer

173.2 N

Question 17

A uniform beam of length L and weight W is supported at both ends. Determine the reaction force at each support.

Accepted Answer

W/2

Answer

W/4

Answer

W

Answer

2W

Question 18

Which of the following is NOT a unit of force?

Accepted Answer

Joule

Answer

Newton

Answer

Pound

Answer

Kilogram

Question 19

A particle moves with a constant velocity. What is the net force acting on the particle?

Accepted Answer

Zero

Answer

Non-zero and constant

Answer

Non-zero and varying

Answer

Cannot be determined

Question 20

Which of the following is a free body diagram?

Accepted Answer

A diagram that illustrates all the forces acting on a body

Answer

A diagram that shows the displacement of a body

Answer

A diagram that shows the velocity of a body

Answer

A diagram that shows the acceleration of a body

Question 21

Which of the following is the definition of a moment?

Accepted Answer

Force multiplied by distance

Answer

Force divided by distance

Answer

Distance multiplied by time

Answer

Time divided by distance

Question 22

A couple is defined as two equal and opposite forces that do not act along the same line. What is the moment of a couple?

Accepted Answer

Product of force and distance between forces

Answer

Sum of moments of individual forces

Answer

Difference of moments of individual forces

Answer

Zero

Question 23

For a particle in equilibrium, which equation represents the condition of equilibrium in the x-direction?

Accepted Answer

F_x = 0

Answer

F_y = 0

Answer

F_z = 0

Answer

F = ma

Question 24

In civil engineering, which of these directly applies the principles of statics?

Accepted Answer

Designing bridges

Answer

Analyzing fluid flow

Answer

Designing circuits

Question 25

Which of the following is NOT a base unit in the International System of Units (SI)?

Accepted Answer

Pound (force)

Answer

Meter (length)

Answer

Kilogram (mass)

Answer

Second (time)

Question 26

A vector quantity is characterized by:

Accepted Answer

Magnitude and direction only

Answer

Direction and speed only

Answer

Magnitude and speed only

Answer

Magnitude, direction, and speed

Question 27

The resultant force acting on a body is:

Accepted Answer

Equal in magnitude to the sum of all forces

Answer

Equal in magnitude to the largest force

Answer

In the same direction as the largest force

Answer

In the direction opposite to the smallest force

Question 28

A free body diagram represents:

Accepted Answer

Only the external forces acting on a body

Answer

All forces acting on a body and its environment

Answer

Only the internal forces acting within a body

Answer

Both internal and external forces acting on a body

Question 29

Which equilibrium equation ensures that the sum of moments about a fixed point is zero?

Accepted Answer

ΣM = 0

Answer

ΣF = 0

Answer

ΣF⊥ = 0

Answer

ΣM⊥ = 0

Question 30

The center of mass of an object is the point where:

Accepted Answer

The object would balance if suspended

Answer

The weight of the object acts

Answer

The acceleration of the object is zero

Answer

The resultant of all forces acting on the object is zero

Question 31

According to the principle of virtual work, in an equilibrium state:

Accepted Answer

The work done by external forces is minimized

Answer

The work done by internal forces is minimized

Answer

The potential energy is maximized

Answer

The kinetic energy is minimized

Question 32

In the International System of Units (SI), force is measured in units of:

Accepted Answer

Newtons

Answer

Kilograms

Answer

Meters

Answer

Seconds

Question 33

A physical quantity that possesses both magnitude and direction is termed a/an:

Accepted Answer

Vector

Answer

Scalar

Answer

Tensor

Answer

Matrix

Question 34

The diagram that illustrates all the forces acting on a body is called a/an:

Accepted Answer

Free body diagram

Answer

Shear force diagram

Answer

Bending moment diagram

Answer

Moment diagram

Question 35

Which equilibrium equation expresses that the algebraic sum of all forces acting on a stationary body in the horizontal direction equals zero?

Accepted Answer

∑Fx = 0

Answer

∑Fy = 0

Answer

∑Mz = 0

Answer

∑F = 0

Question 36

A rigid body at rest on a frictionless surface encounters:

Accepted Answer

No friction at all

Answer

Only static friction

Answer

Only kinetic friction

Answer

Both static and kinetic friction

Question 37

Which of the following is not a type of support reaction?

Accepted Answer

Velocity

Answer

Force

Answer

Moment

Answer

Couple

Question 38

A force of 100 Newtons acting perpendicular to a 1-meter lever arm produces:

Accepted Answer

100 Nm of torque

Answer

200 Nm of torque

Answer

50 Nm of torque

Answer

150 Nm of torque

Question 39

A force of 100 Newtons is applied to a 10-kilogram object. What is the object's acceleration?

Accepted Answer

10 m/s²

Answer

1 m/s²

Answer

100 m/s²

Question 40

Which physical quantity is a scalar?

Accepted Answer

Temperature

Answer

Force

Answer

Acceleration

Answer

Velocity

Question 41

In the International System of Units (SI), the unit of measurement for force is the:

Accepted Answer

Newton

Answer

Kilogram

Answer

Second

Answer

Meter

Question 42

For an object in equilibrium, the sum of the forces in the x-direction is:

Accepted Answer

0

Answer

Negative

Answer

Positive

Answer

Cannot be determined

Question 43

What is the definition of the moment of a force about a point?

Accepted Answer

The product of the force and the perpendicular distance from the point to the line of action of the force

Answer

The sum of the forces acting on the point

Question 44

Where is the centroid of a triangle located?

Accepted Answer

At the point of intersection of the medians

Answer

At the point where the altitudes intersect

Answer

At the midpoint of the longest side

Answer

At the point where the perpendicular bisectors intersect

Question 45

Which of the following is **not** a base unit in the International System of Units (SI)?

Accepted Answer

Pound (lb)

Answer

Kilogram (kg)

Answer

Meter (m)

Answer

Second (s)

Question 46

A force of 100 N is applied to an object at an angle of 30° to the horizontal. What is the horizontal component of the force?

Accepted Answer

86.6 N

Answer

100 N

Answer

50 N

Question 47

A free body diagram is a diagram that represents:

Accepted Answer

All the forces acting on a body

Answer

The internal stresses within a body

Answer

The geometry of a body

Answer

The displacement of a body

Question 48

For a simply supported beam subjected to a concentrated load at its midpoint, the maximum bending moment:

Accepted Answer

Occurs at the midpoint

Answer

Occurs at the ends of the beam

Answer

Is zero at the supports

Question 49

A truss is a structural element typically composed of:

Accepted Answer

Members that are subjected to axial forces only

Answer

Solid plates

Answer

Flexible cables

Answer

Rigid beams

Question 50

The principle of moments states that:

Accepted Answer

The sum of the moments of all forces about any point is zero for a body in equilibrium.

Answer

The moment of a force is equal to the force times the distance from the point of application

Answer

The sum of all forces is equal to the mass times acceleration

Question 51

A couple is:

Accepted Answer

Two parallel forces of equal magnitude acting in opposite directions

Answer

Two forces acting at the same point

Answer

A single force acting on an object

Question 52

Which of the following is **not** a type of support commonly used in statics?

Accepted Answer

Sliding support

Answer

Hinge support

Answer

Roller support

Answer

Fixed support