Equilibrium of Rigid Bodies: Master the Fundamentals of Statics

Question 1

A uniform beam of length L and weight W is supported at its ends. What is the reaction force at each support?

Accepted Answer

W/2

Answer

W/4

Answer

W/8

Answer

W/16

Question 2

A rigid body is said to be in equilibrium if the sum of all forces acting on the body is:

Accepted Answer

Zero

Answer

Non-zero

Answer

Greater than zero

Answer

Less than zero

Question 3

The centroid of a triangular region is located at the intersection of its:

Accepted Answer

Medians

Answer

Altitudes

Answer

Angle bisectors

Answer

Perpendicular bisectors

Question 4

A couple consists of:

Accepted Answer

Two parallel forces acting in opposite directions, separated by a perpendicular distance.

Answer

Two parallel forces acting in the same direction, separated by a perpendicular distance.

Answer

Two intersecting forces acting in the same direction.

Answer

Two intersecting forces acting in opposite directions.

Question 5

The center of gravity of a body is the point at which:

Accepted Answer

The resultant force of gravity acts

Answer

The weight of the body acts

Answer

The resultant moment of gravity acts

Answer

The weight of the body is zero

Question 6

A distributed force is a force that is:

Accepted Answer

Applied over a finite area

Answer

Applied over an infinite area

Answer

Applied at a single point

Answer

Applied in a direction perpendicular to the surface

Question 7

A rigid body is said to be in stable equilibrium when:

Accepted Answer

Its potential energy is a minimum

Answer

Its potential energy is a maximum

Answer

Its kinetic energy is a minimum

Answer

Its kinetic energy is a maximum

Question 8

A free body diagram is a diagram that shows:

Accepted Answer

All the external forces acting on a body

Answer

All the forces acting on a body

Answer

All the forces and moments acting on a body

Answer

All the internal forces acting on a body

Question 9

The centroid of a geometric figure is the point where the:

Accepted Answer

Figure is balanced when suspended from

Answer

Resultant force acting on the figure is applied

Answer

Total mass of the figure is concentrated

Answer

Figure has the smallest moment of inertia

Question 10

Which of the following theorems is used to determine the resultant force of a system of concurrent forces?

Accepted Answer

Varignon's theorem

Answer

Lami's theorem

Answer

Mohr's theorem

Answer

Euler's theorem

Question 11

The equilibrium of a rigid body under the action of three forces is known as:

Accepted Answer

Three-force member

Answer

Two-force member

Answer

Four-force member

Answer

Five-force member

Question 12

For a rigid body to be in equilibrium, what must be true?

Accepted Answer

The net force and net moment acting on the body must both be zero

Answer

The net force acting on the body must be zero

Answer

The net moment acting on the body must be zero

Question 13

A couple is defined as:

Accepted Answer

Two equal and opposite forces separated by a perpendicular distance

Answer

A single force acting on a body

Answer

A distributed force acting over an area

Question 14

The moment of a force about a point is:

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 distance from the point to the point of application of the force

Question 15

A distributed load is:

Accepted Answer

A force that is spread over an area

Answer

A force that is always perpendicular to the surface on which it acts

Answer

A force that is always parallel to the surface on which it acts

Answer

A force that is concentrated at a single point

Question 16

The equilibrium equations for a rigid body are:

Accepted Answer

ΣF = 0 and ΣM = 0

Answer

ΣF = 0 and ΣM ≠ 0

Answer

ΣF ≠ 0 and ΣM ≠ 0

Answer

ΣF ≠ 0 and ΣM = 0

Question 17

A uniform rod of length L and weight W is suspended horizontally from two ropes of equal length. The tension in each rope is:

Accepted Answer

W/2

Answer

2W

Answer

W

Answer

3W

Question 18

A couple consists of:

Accepted Answer

Two equal and opposite forces acting at a distance.

Answer

Two unequal and parallel forces acting at a distance.

Answer

Two perpendicular forces acting at the same point.

Question 19

The moment of a force about a point is:

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 distance from the point to any point on the line of action of the force.

Question 20

Which of the following is a necessary condition for a point to be located in the centroid of a body?

Accepted Answer

The algebraic sum of the moments of all the forces acting on the body about that point must be zero.

Answer

The point must be located at the geometrical center of the body.

Answer

The net force acting on the body must be zero.

Question 21

A distributed force is:

Accepted Answer

A force that is spread over an area or volume.

Answer

A force that acts on a single point.

Answer

A force that is constant in magnitude and direction.

Question 22

The stability of a body depends on:

Accepted Answer

The position of its center of gravity relative to its base of support.

Answer

The shape of the body

Answer

The weight of the body