Introduction to Engineering Mechanics: Master the Fundamentals of Force, Motion, and Equilibrium

Question 1

In engineering mechanics, which fundamental characteristic defines a quantity as a vector?

Accepted Answer

Both magnitude and direction

Answer

Magnitude only

Answer

Independence from the frame of reference

Answer

Units including a time component

Question 2

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

Accepted Answer

Newton

Answer

Meter

Answer

Kilogram

Answer

Second

Question 3

Which of the following is NOT a scalar quantity?

Accepted Answer

Velocity

Answer

Temperature

Answer

Mass

Answer

Time

Question 4

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

Accepted Answer

Energy

Answer

Mass

Answer

Time

Answer

Length

Question 5

Identify the physical quantity that is a vector, possessing both magnitude and direction:

Accepted Answer

Velocity

Answer

Mass

Answer

Temperature

Answer

Time

Question 6

In engineering mechanics, which physical quantity is a scalar, meaning it has only magnitude and no direction?

Accepted Answer

Temperature

Answer

Displacement

Answer

Force

Answer

Acceleration

Question 7

In engineering mechanics, which fundamental dimension represents the measurable extent of an object or the distance between points?

Accepted Answer

Length

Answer

Force

Answer

Energy

Answer

Power

Question 8

A couple, defined as two equal and opposite forces separated by a distance, causes what effect on a rigid body?

Accepted Answer

Rotation only

Answer

Translation only

Answer

Both rotation and translation

Answer

No effect

Question 9

A car initially at rest starts moving with a constant acceleration. After 5 seconds, its velocity changes from 0 m/s to 10 m/s. What is the acceleration of the car?

Accepted Answer

2 m/s^2

Answer

0 m/s^2

Answer

10 m/s^2

Answer

-2 m/s^2

Question 10

Find the magnitude of the force vector **F** = 3i - 5j + 2k N using the formula for vector magnitude.

Accepted Answer

√38

Answer

1

Answer

2

Answer

-5

Question 11

Which of the following is a physical quantity that is calculated from other physical quantities?

Accepted Answer

Force

Answer

Length

Answer

Time

Answer

Mass

Question 12

Identify the vector quantity among these options:

Accepted Answer

Displacement

Answer

Mass

Answer

Temperature

Answer

Time

Question 13

A force of 10 Newtons (N) acts in the x-direction on a body, and a force of 20 N acts in the y-direction on the same body. Calculate the magnitude of the resultant force.

Accepted Answer

22.36 N

Answer

10 N

Answer

20 N

Answer

40 N

Question 14

Which of the following is NOT a scalar quantity?

Accepted Answer

Velocity

Answer

Mass

Answer

Temperature

Question 15

In engineering mechanics, a free body diagram illustrates forces acting on a rigid body using:

Accepted Answer

Arrows aligned with the force's direction

Answer

Lines perpendicular to the force's direction

Answer

Circles around the force's application point

Answer

Squares enclosing the force's application point

Question 16

In engineering mechanics, which of the following is a vector quantity?

Accepted Answer

Force

Answer

Mass

Question 17

Which of the following is a scalar quantity?

Accepted Answer

Temperature

Answer

Force

Answer

Velocity

Answer

Acceleration

Question 18

Which of the following is NOT a fundamental dimension in mechanics?

Accepted Answer

Energy

Answer

Length

Answer

Mass

Answer

Time

Question 19

A force of 100 Newtons is applied to a 10-kilogram mass at rest. What is the acceleration of the mass?

Accepted Answer

10 m/s²

Answer

1 m/s²

Answer

100 m/s²

Question 20

Which of the following is a scalar quantity?

Accepted Answer

Temperature

Answer

Force

Answer

Velocity

Answer

Acceleration

Question 21

Which quantity has magnitude but no direction?

Accepted Answer

Mass

Answer

Force

Answer

Velocity

Answer

Acceleration

Question 22

In engineering mechanics, which of these is NOT a fundamental dimension?

Accepted Answer

Temperature

Answer

Mass

Answer

Time

Answer

Length

Question 23

For a rigid body undergoing both translational and rotational motion, which condition must be met for it to be in equilibrium?

Accepted Answer

The net force acting on the body is zero, and the net moment about any point is also zero.

Answer

The net force acting on the body is zero, but the net moment is not a necessary condition for equilibrium.

Answer

The net moment about any point must be zero, but the net force acting on the body can have a non-zero value.

Answer

Neither the net force nor the net moment about any point needs to be zero for a body to be in equilibrium.

Question 24

In a free body diagram of a rigid body, which visual elements represent the external forces acting on the body?

Accepted Answer

Arrows pointing outward from the body

Answer

Solid lines showing the body's internal forces

Answer

Equations describing the body's motion

Answer

Detailed diagrams of the body's structure

Question 25

In engineering mechanics, a machine is best described as a device that:

Accepted Answer

Uses mechanical advantage to make tasks easier

Answer

Has a fixed structure with no moving components

Answer

Primarily resists external forces

Question 26

In engineering mechanics, which analytical method determines forces and moments within a frame by examining the equilibrium of its joints?

Accepted Answer

Method of joints

Answer

Method of sections

Answer

Principle of virtual work

Answer

Shear force and bending moment diagram

Question 27

In engineering mechanics, why is it crucial to differentiate between scalar and vector quantities?

Accepted Answer

It assists in problem-solving by identifying quantities that require both magnitude and direction.

Answer

It is only essential for intricate mechanical systems.

Answer

It is only applicable in statics.

Answer

It has no practical significance in engineering mechanics.

Question 28

In engineering mechanics, which of the following is a scalar quantity, meaning it has only magnitude and no direction?

Accepted Answer

Mass

Accepted Answer

Temperature

Answer

Force

Answer

Velocity

Question 29

A rigid body is in equilibrium under the influence of three forces: F1, F2, and F3. Which of the following statements accurately describes the relationship between these forces?

Accepted Answer

The vector sum of F1 and F2 is equal in magnitude and opposite in direction to F3.

Answer

The magnitudes of F1 and F2 are equal.

Answer

The line of action of F3 passes through the centroid of the body.

Answer

The presence of these forces implies that the body is rotating about a fixed axis.

Question 30

In engineering mechanics, a rigid body is considered to be in equilibrium when:

Accepted Answer

The net force acting on the body is zero, and the net moment about any point is zero.

Answer

The net force acting on the body is zero, but the net moment about any point is not zero.

Answer

The net moment about any point is zero, but the net force acting on the body is not zero.

Answer

Neither the net force nor the net moment about any point is zero.

Question 31

A rigid body initially at rest is subjected to a constant force of 100 N for 5 seconds. Determine the power applied to the body, given its mass of 20 kg.

Accepted Answer

1000 W

Answer

500 W

Answer

2000 W

Question 32

In engineering mechanics, what's the main reason for using free-body diagrams?

Accepted Answer

To find the net force and its direction on an object, helping with equilibrium analysis.

Answer

To check if an object is in static or dynamic equilibrium.

Answer

To get info on an object's displacement and velocity.

Answer

To find the coefficient of friction between two surfaces.

Question 33

Clarified: Which of the following is the SI unit of force?

Accepted Answer

Precise: Newton

Answer

Kilogram

Answer

Meter

Answer

Second

Question 34

A beam of length L is simply supported at both ends. A concentrated load P is applied at the center of the beam. What is the maximum bending moment?

Accepted Answer

Simplified: PL/4

Answer

PL/8

Answer

PL/16

Answer

PL/32

Question 35

Revised: Which of the following is a characteristic of a statically determinate structure?

Accepted Answer

Corrected: The structure has the same number of reactions as the number of equations of equilibrium.

Answer

The structure has fewer reactions than the number of equations of equilibrium.

Answer

The structure has more reactions than the number of equations of equilibrium.

Answer

The structure is unstable.

Question 36

Simplified: Which of the following is a dimensionless quantity?

Accepted Answer

Corrected: Strain

Answer

Force

Answer

Velocity

Answer

Moment of Inertia

Question 37

A rigid body is subjected to two forces, F1 = (100 N, 0°) and F2 = (50 N, 180°). What is the magnitude of the resultant force (in Newtons)?

Accepted Answer

150

Answer

50

Answer

100

Question 38

In rigid body dynamics, which analytical method analyzes forces and moments acting on a structure by examining the equilibrium of specific points or nodes within its framework?

Accepted Answer

Method of Joints

Answer

Method of Sections

Answer

Principle of Virtual Work

Answer

Method of Superposition

Question 39

Which equation accurately describes the motion of a rigid body undergoing translation?

Accepted Answer

F = m * a

Answer

F = m * v

Answer

F = m * v * t

Question 40

Which of the following is the International System of Units (SI) unit of force?

Accepted Answer

Newton (N)

Answer

Kilogram (kg)

Answer

Meter (m)

Answer

Second (s)

Question 41

A particle moves along a straight line with a constant acceleration of 2 m/s². If its initial velocity is 5 m/s and it travels a distance of 30 meters, what will be its final velocity?

Accepted Answer

11 m/s

Answer

8 m/s

Answer

6 m/s

Answer

4 m/s

Question 42

Which of the following is the correct description of a scalar quantity?

Accepted Answer

Has only magnitude but no direction

Answer

Has both magnitude and direction

Answer

Has only direction but no magnitude

Answer

Has neither magnitude nor direction

Question 43

Which of the following is NOT a fundamental dimension in mechanics?

Accepted Answer

Temperature

Answer

Length

Answer

Mass

Answer

Time

Question 44

A force of 100 Newtons acts on an object at an angle of 30 degrees above the horizontal. What is the horizontal component of the force?

Accepted Answer

86.6 Newtons

Answer

50 Newtons

Answer

100 Newtons

Answer

173.2 Newtons

Question 45

A particle moves in a straight line with a constant velocity of 10 meters per second. What is its acceleration?

Accepted Answer

0 meters per second squared

Answer

10 meters per second squared

Answer

9.8 meters per second squared

Answer

Not enough information provided

Question 46

Which of the following techniques is NOT used in problem-solving in engineering mechanics?

Accepted Answer

Trial and error

Answer

Free body diagrams

Answer

Kinematic equations

Answer

Principle of virtual work

Question 47

The work done by a constant force acting on an object is equal to:

Accepted Answer

Force multiplied by distance

Answer

Force multiplied by velocity

Answer

Force multiplied by acceleration

Answer

Force multiplied by time

Question 48

Which of the following is a unit of energy?

Accepted Answer

Joule

Answer

Newton

Answer

Pascal

Answer

Watt

Question 49

Which of the following units is exclusively used to measure force?

Accepted Answer

N

Answer

Pa

Answer

lb

Answer

kg

Question 50

Two forces of 3 N and 8 N act concurrently on a point. What is the magnitude of the resultant force, rounded to the nearest whole number?

Accepted Answer

11 N

Answer

5 N

Answer

24 N

Answer

8 N

Question 51

A body is in equilibrium when the algebraic sum of the forces acting on it is

Accepted Answer

Zero

Answer

Positive

Answer

Non-zero

Answer

Negative

Question 52

Which of the following is the correct equation for displacement in rectilinear motion?

Accepted Answer

s = ut + 1/2at^2

Answer

v^2 = u^2 + 2as

Answer

a = v/t

Answer

v = u + at

Question 53

What is the moment of a force about a point?

Accepted Answer

The cross product of the force vector and the position vector from the point to the line of action of the force

Answer

The sum of the forces acting on the point

Question 54

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

Accepted Answer

Hour

Answer

Second

Answer

Meter

Answer

Kilogram

Question 55

Which of the following is NOT a characteristic of a force vector?

Accepted Answer

Scalar quantity

Answer

Can be represented by an arrow

Answer

Has both magnitude and direction

Answer

Acts on an object

Question 56

In the equation of motion v = at + b, where v represents velocity, a represents acceleration, t represents time, and b is a constant, what does 'a' represent?

Accepted Answer

Acceleration

Answer

Displacement

Answer

Time

Answer

Velocity

Question 57

Which of the following is a scalar quantity?

Accepted Answer

Temperature

Answer

Displacement

Answer

Velocity

Answer

Force

Question 58

A rigid body is subjected to a moment of 100 Newton-meters (Nm) about a fixed axis. What torque is acting on the body?

Accepted Answer

100 Nm

Answer

0 Nm

Answer

200 Nm

Answer

50 Nm

Question 59

The principle of least action states that in any physical system, the actual path taken:

Accepted Answer

Minimizes the action of the system

Answer

Is always the longest path

Answer

Is always the shortest path

Answer

Maximizes the action of the system

Question 60

Which of the following is a fundamental principle of Newtonian mechanics?

Accepted Answer

Inertia

Answer

Uncertainty principle

Answer

Relativity

Answer

Quantum superposition

Question 61

The three fundamental laws of motion were first formulated by:

Accepted Answer

Isaac Newton

Answer

Galileo Galilei

Answer

Aristotle

Answer

Albert Einstein

Question 62

A rigid body is in equilibrium when the sum of all forces and moments acting on it is:

Accepted Answer

Zero

Answer

Maximum

Answer

Constant

Answer

Minimum

Question 63

Which of the following is a scalar quantity?

Accepted Answer

Temperature

Answer

Acceleration

Answer

Force

Answer

Velocity

Question 64

Which of the following is a conservative force?

Accepted Answer

Gravitational force

Answer

Frictional force

Answer

Tension force

Answer

Normal force