Introduction to Statics: Master the Fundamentals of Equilibrium and Forces

Question 1

A force of 100 N acts on a body at an angle of 30° above 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 2

The reactions at the supports of a simply supported beam are:

Accepted Answer

Equal in magnitude and opposite in direction

Answer

Equal in magnitude but not opposite in direction

Answer

Proportional to the applied load, but not necessarily equal

Answer

Cannot be determined without knowing the load

Question 3

The moment of a force about a point is a measure of:

Accepted Answer

The force's capacity to cause rotation about the point

Answer

The force applied to the body

Answer

The distance between the force and the point

Answer

The angle between the force and the point

Question 4

The equilibrium equation for a rigid body in the x-direction is:

Accepted Answer

ΣFx = 0

Answer

ΣFy = 0

Answer

ΣMz = 0

Answer

F = ma

Question 5

A free body diagram is a graphical representation that shows:

Accepted Answer

Only the external forces acting on a specific body

Answer

All the forces acting on a specific body

Answer

Only the internal forces acting on a specific body

Answer

The motion of a specific body

Question 6

The resultant of a system of coplanar forces is:

Accepted Answer

Another single force that is equivalent in effect

Answer

Always a force acting through the centroid of the system

Answer

Always a couple

Answer

Cannot be determined without additional information

Question 7

Which element is NOT essential in drawing a free body diagram?

Accepted Answer

Mass of the body.

Answer

Forces acting on the body.

Answer

Moments acting on the body.

Answer

Support reactions acting on the body.

Question 8

A rigid body is in equilibrium if the net force acting on it is:

Accepted Answer

Zero.

Answer

Non-zero but constant.

Answer

Non-zero and increasing.

Answer

Non-zero and decreasing.

Question 9

The center of gravity of a body is the point where:

Accepted Answer

The resultant of all gravitational forces acting on the body passes through.

Answer

The mass of the body is concentrated.

Answer

The weight of the body acts.

Answer

The buoyant force acting on the body passes through.

Question 10

The centroid of a plane figure is the point where:

Accepted Answer

The resultant of all gravitational forces acting on the figure passes through.

Answer

The mass of the figure is concentrated.

Answer

The weight of the figure acts.

Answer

The buoyant force acting on the figure passes through.

Question 11

Which of the following statements about a rigid body in static equilibrium is incorrect?

Accepted Answer

The body can be accelerating.

Answer

The net force acting on the body is zero.

Answer

The net moment about any point is zero.

Question 12

A force of 10 N is applied to an object at a perpendicular distance of 2 m from the pivot point. What is the moment about the pivot point?

Accepted Answer

20 Nm

Answer

5 Nm

Answer

10 Nm

Answer

40 Nm

Question 13

Which of the following is the SI unit of force?

Accepted Answer

Newton

Answer

Kilogram

Answer

Joule

Answer

Pascal

Question 14

Which of the following is a scalar quantity?

Accepted Answer

Temperature

Answer

Force

Answer

Velocity

Answer

Acceleration

Question 15

A rigid body is subjected to a system of forces. If the resultant force is zero, what can you conclude?

Accepted Answer

The body is in equilibrium

Answer

The body is accelerating

Answer

The body is moving at a constant speed

Answer

The body is undergoing deformation

Question 16

A beam is supported at its ends and subjected to a uniformly distributed load. Which of the following best describes the shape of the shear force diagram for this beam?

Accepted Answer

Linear, increasing from zero at the ends to a maximum at the center

Answer

Linear, decreasing from a maximum at the ends to zero at the center

Answer

Parabolic, increasing from zero at the ends to a maximum at the center

Answer

Parabolic, decreasing from a maximum at the ends to zero at the center

Question 17

In Engineering Mechanics, which fundamental concept deals primarily with analyzing the forces influencing a body?

Accepted Answer

Equilibrium

Answer

Force

Answer

Moment

Answer

Stress

Question 18

A free body diagram serves to:

Accepted Answer

Illustrate the external forces acting on a body

Answer

Represent the internal forces within a body

Answer

Show the moments acting on a body

Answer

Display the resultant force and moment on a body

Question 19

Which support type permits rotation but restrains translational motion?

Accepted Answer

Hinge support

Answer

Pin support

Answer

Roller support

Answer

Fixed support

Question 20

The moment of a force concerning a point is defined as:

Accepted Answer

Force multiplied by the perpendicular distance from the point to the line of action of the force

Answer

Force multiplied by the distance along the line of action of the force

Answer

Force divided by the distance from the point to the line of action of the force

Answer

Force added to the distance from the point to the line of action of the force

Question 21

A couple is defined as a system of forces that:

Accepted Answer

Produces a zero resultant moment

Answer

Produces a zero resultant force

Answer

Acts on a single point

Answer

Is balanced about any point

Question 22

Which condition is NOT necessary for a rigid body to be in equilibrium?

Accepted Answer

The body is stationary or moving at a constant velocity.

Answer

The net force acting on the body is zero.

Answer

The net moment acting on the body is zero.

Question 23

Which of the listed options is NOT a type of force that can act on a rigid body?

Accepted Answer

Velocity

Answer

Tension

Answer

Compression

Answer

Shear

Question 24

What physical quantity is a moment primarily a measure of?

Accepted Answer

Force multiplied by distance

Answer

Force

Answer

Distance

Answer

Time

Question 25

A rigid body is in equilibrium when the net force and moment acting on it are both:

Accepted Answer

Zero

Answer

Non-zero

Answer

Equal to the weight of the body

Answer

Perpendicular to the ground

Question 26

The moment of a force about a point is defined as:

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 line of action of the force

Answer

The sum of all forces acting on the point

Answer

The difference between the forces acting on the point

Question 27

The method of sections is used to:

Accepted Answer

Determine the forces in members of a truss

Answer

Analyze the stability of a structure

Answer

Calculate the deflections of a beam

Answer

Determine the natural frequencies of a system

Question 28

The principle of virtual work states that:

Accepted Answer

The work done by a system of forces on a rigid body is zero if the body is in equilibrium

Answer

The work done by a force on a body is equal to the change in potential energy of the body

Answer

The work done by a couple on a body is zero

Answer

The work done by a force on a body is equal to the change in kinetic energy of the body

Question 29

For a body to be in equilibrium, the sum of the forces acting on it must be what?

Accepted Answer

Zero

Answer

Always downwards

Answer

Always upwards

Answer

Non-zero but balanced

Question 30

The resultant of a system of forces acting on a body is:

Accepted Answer

A single force that produces the same effect as the original forces

Answer

Always parallel to the largest original force

Answer

Always less than the sum of the original forces

Answer

Always greater than the sum of the original forces

Question 31

A rigid body is in rotational equilibrium when:

Accepted Answer

The sum of the moments acting on it is zero

Answer

The body is accelerating

Answer

The body is moving at a constant speed

Answer

The body is stationary

Question 32

What does the principle of virtual work state?

Accepted Answer

The virtual work done by the forces acting on a body is zero if the body is in equilibrium

Answer

The virtual work done by the forces acting on a body is always positive

Answer

The virtual work done by the forces acting on a body is always negative

Answer

The actual work done by the forces acting on a body is zero if the body is in equilibrium

Question 33

For a rigid body to be in equilibrium, the sum of the forces acting on it must be:

Accepted Answer

Zero

Answer

Equal to its weight

Answer

Non-zero

Question 34

A beam with a uniformly distributed load is supported by two fixed supports at its ends. The bending moment will be maximum at:

Accepted Answer

Mid-span

Answer

Supports

Answer

Quarter-span

Answer

Third-span

Question 35

A couple is a system of forces that:

Accepted Answer

Produces only rotation

Answer

Produces only translation

Answer

Produces no motion

Answer

Produces both rotation and translation

Question 36

The resultant force acting on a rigid body in equilibrium is:

Accepted Answer

Zero

Answer

Dependent on the direction of gravity

Answer

Proportional to the mass of the body

Answer

Equal to the weight of the body

Question 37

A free body diagram shows:

Accepted Answer

Only the external forces acting on a body

Answer

Is only used for bodies in static equilibrium

Answer

Only the internal forces acting on a body

Answer

All forces acting on a body

Question 38

Which of the following is explicitly NOT a force?

Accepted Answer

Velocity

Answer

Tension

Answer

Weight

Answer

Friction

Question 39

A rigid body is considered to be in equilibrium when:

Accepted Answer

The vector sum of all forces acting on it is zero and the vector sum of all moments acting on it is zero.

Answer

The scalar sum of all forces acting on it is zero.

Answer

The vector sum of all moments acting on it is zero.

Question 40

The magnitude of the moment exerted about a specific point is mathematically equivalent to:

Accepted Answer

The force multiplied by the perpendicular distance from the line of action of the force to that specific point.

Answer

The force divided by the perpendicular distance from the line of action of the force to that specific point.

Answer

The force multiplied by the parallel distance from the line of action of the force to that specific point.

Question 41

A free body diagram is primarily intended to:

Accepted Answer

Visually represent all the forces acting on a particular body.

Answer

Visually represent all the moments acting on a particular body.

Answer

Visually represent the trajectory of a body's motion.

Question 42

Which of the following physical quantities is a scalar?

Accepted Answer

Temperature

Answer

Moment

Answer

Velocity

Answer

Force

Question 43

The vector sum of two forces acting concurrently at a point results in:

Accepted Answer

A single force, known as the resultant force, which produces an identical effect to the combined action of both individual forces.

Answer

A force that is equal to the arithmetic sum of the two forces.

Answer

A force that is equal to the difference between the two forces.

Question 44

The moment of inertia of a body is a quantitative measure of its:

Accepted Answer

Resistance to angular acceleration.

Answer

Elasticity

Answer

Strength

Answer

Resistance to linear acceleration.

Question 45

The centroid of a body can be defined as:

Accepted Answer

The unique point at which the entire weight of the body can be considered to act at for the purposes of analysis.

Answer

The point at which the center of mass of the body is located.

Answer

The point at which the resultant force acting on the body is applied.

Question 46

Which of the following conditions is NOT necessary for a rigid body to be in equilibrium?

Accepted Answer

The vector sum of all forces acting on the body is non-zero.

Answer

The acceleration of the body is zero.

Answer

The vector sum of all moments acting on the body is zero.

Answer

The resultant force acting on the body is zero.

Question 47

A couple, in the context of statics, is:

Accepted Answer

A system of two equal and opposite forces separated by a perpendicular distance, resulting in only rotational effect.

Answer

A system of two unequal and opposite forces acting along the same line.

Answer

A system of two equal and opposite forces acting along the same line.

Question 48

Identify the option that does NOT represent a commonly encountered type of support in statics problems.

Accepted Answer

Spring support

Answer

Pinned support

Answer

Roller support

Answer

Fixed support

Question 49

A free body diagram primarily represents which of the following?

Accepted Answer

The external forces acting on a body isolated from its surroundings

Answer

The detailed motion of a body subjected to forces

Answer

The internal forces acting within a given body

Question 50

The moment of a force about a specified point is mathematically defined as:

Accepted Answer

The product of the force's magnitude and the perpendicular distance from the point to the force's line of action.

Answer

The summation of all forces acting on a particular body

Question 51

Which of the following accurately describes a couple?

Accepted Answer

A system of forces with zero net force but a non-zero moment

Answer

A system of forces with both a non-zero net force and a non-zero moment

Answer

A system of forces that has no effect on a body's equilibrium

Answer

A system of forces with a non-zero net force and a zero moment

Question 52

A truss, as a structural element, is characterized by:

Accepted Answer

Slender members interconnected at their ends by pin joints

Answer

Solid plates subjected to bending stresses

Answer

Continuous beams with variable cross-sections

Question 53

The method of joints, employed in truss analysis, involves:

Accepted Answer

Applying equilibrium equations to each joint of the truss

Answer

Determining the stresses in individual members using the method of sections

Answer

Analyzing the entire truss as a single rigid body

Question 54

In the context of beam analysis, a distributed load is defined as:

Accepted Answer

A load distributed over a finite length of the beam

Answer

A moment acting on the beam

Answer

A concentrated load acting at a single point

Answer

A force applied perpendicular to the beam