of Engineering Prep with Math, Statics, Dynamics &
Define Enthalpy - ANSWER total energy of a system
Which of the following is true of the electric field intensity about an isolated point charge?
A. It varies directly as the distance to the charge.
B. It varies inversely as the distance to the charge.
C. It varies directly as the square of the distance to the charge.
D. It varies inversely as the square of the distance to the charge. - ANSWER D. It varies
inversely as the square of the distance to the charge.
As a professional engineer originally licensed 30 years ago, you are asked to evaluate a newly
developed computerized control system for a public transportation system. You may accept
this project if:
A. You are competent in the area of modern control systems
B. You do not live in the jurisdiction where the transportation system is being installed
C. Your original area of specialization was in transportation systems
D. You have regularly attended meetings of a professional engineering society - AN-
SWER A. You are competent in the area of modern control systems
The SI system uses (1) for mass and (2) for weight (force). - ANSWER 1) Kilograms
2) Newtons
Mass is a constant property of an object where (1) varies with gravitational field. - AN-
SWER 1) weight
1
,What is a metric ton? - ANSWER A metric ton also known as a tonne, is 1000 kg
What is a kip? - ANSWER The abbreviation "kip" is used for "kilo-pound": 1000 pounds
of force
What basic SI unit is equal to kg*m^2/s^2 - ANSWER Kinetic energy is calculated in SI
units as (1/2)mv^2, with units of the joule
Which of the following is false for an identity matrix, I?
(a) I is a square matrix
(b) All entries in I are zero, except the entries whose row and column numbers are equal
(c) all nonzero entries are equal to 1.
(d) AI=A^-1 - ANSWER The main property of an identity matrix is that AI=A. Therefore,
choice (d) is false
Which of the following statements is true for a power series with the general term aix^i?
I. An infinite power series converges to for x<1
II. Power series can be added together or subtracted within their interval of convergence.
III. Power series can be integrated within their interval of convergence
(a) I only
(b) II only
(c) I and II
(d) II and III - ANSWER Power series can be added together, subtracted from each
other, differentiated, and integrated within their interval of convergence. The interval of con-
vergence is -1 < x <1. Therefore the answer is D
What is a matrix? - ANSWER A matrix is an ordered set of entries arranged rectangu-
larly and set off by brackets.A matrix itself has no particular value, it is merely a convenient
method of representing a set of numbers.
2
,When can you multiple two matrices together? - ANSWER A matrix can be multiplied
by another matrix, but only if the left-handed matrix has the same number of columns as
the right-hand matrix has rows.
True or False: Addition and subtraction of two matrices are possible only if both matrices
have the same size and shape? - ANSWER True
What is an identity matrix? - ANSWER The identity matrix is a diagonal matrix, mean-
ing that it is a square matrix with all zero entries except for the aij entries, for which i=j. All
nonzero entries are equal to one, and the matrix has the property that AI=IA=A
The product of a Matrix A and its inverse, A^-1 , is the (1) - ANSWER 1) identity matrix
A (1) has only magnitude. Mass, enthalpy, density, and speed are examples of this. - AN-
SWER 1) scalar
Force, momentum, displacement, and velocity are examples are (1). A (1) has a specific di-
rection and magnitude. - ANSWER 1) vectors
What is t-test (based on student's t-distribution) useful for?
(a) testing for distribution of outcomes to see if they come from a normal distribution
(b) determining if the functional is symmetric about zero
(c) comparing values about the mean
(d) determining if the differences between sample means is significant - ANSWER The
t-test is used to determine if the differences between sample are significant or merely the
result of random variations. The answer is D
The binomial probability function is used when? - ANSWER The binomial probability
function is used when all outcomes can be categorized as either successes or failures.
3
, Three nonparallel, nonzero forces act on a rigid body. What must be true of all of these
forces for the body to be in equilibrium?
(a) The forces must be concurrent
(b) The forces must be equal in magnitude but opposite in direction
(c) The forces must have the same line of action
(d) The forces must be at complementary angles to one another - ANSWER Equilib-
rium requires summ=0 about any point in the body. For a general three-forced system, this is
possible only if the force acts through the same point. Therefore the answer is A
What is a moment? - ANSWER A force to rotate, turn, or twist a rigid body a pivot
point. Also called torque and are vectors.
Any pair of equal, opposite, and parallel forces constitute a (1) - ANSWER 1) couple
A (1) is a category of force systems wherein all of the forces act at the same point. - AN-
SWER 1) Concurrent force system
A two-force member can be in equilibrium only if the two forces have the same (1) and (2) -
ANSWER 1) line of action
2) are equal but opposite
The roller support, shown as a cylinder supporting the beam, supports (1) forces only - AN-
SWER 1) vertical
A three-force member can be in equilibrium only if the three forces are (1) or (2) - AN-
SWER 1) concurrent
2) parallel
4
Define Enthalpy - ANSWER total energy of a system
Which of the following is true of the electric field intensity about an isolated point charge?
A. It varies directly as the distance to the charge.
B. It varies inversely as the distance to the charge.
C. It varies directly as the square of the distance to the charge.
D. It varies inversely as the square of the distance to the charge. - ANSWER D. It varies
inversely as the square of the distance to the charge.
As a professional engineer originally licensed 30 years ago, you are asked to evaluate a newly
developed computerized control system for a public transportation system. You may accept
this project if:
A. You are competent in the area of modern control systems
B. You do not live in the jurisdiction where the transportation system is being installed
C. Your original area of specialization was in transportation systems
D. You have regularly attended meetings of a professional engineering society - AN-
SWER A. You are competent in the area of modern control systems
The SI system uses (1) for mass and (2) for weight (force). - ANSWER 1) Kilograms
2) Newtons
Mass is a constant property of an object where (1) varies with gravitational field. - AN-
SWER 1) weight
1
,What is a metric ton? - ANSWER A metric ton also known as a tonne, is 1000 kg
What is a kip? - ANSWER The abbreviation "kip" is used for "kilo-pound": 1000 pounds
of force
What basic SI unit is equal to kg*m^2/s^2 - ANSWER Kinetic energy is calculated in SI
units as (1/2)mv^2, with units of the joule
Which of the following is false for an identity matrix, I?
(a) I is a square matrix
(b) All entries in I are zero, except the entries whose row and column numbers are equal
(c) all nonzero entries are equal to 1.
(d) AI=A^-1 - ANSWER The main property of an identity matrix is that AI=A. Therefore,
choice (d) is false
Which of the following statements is true for a power series with the general term aix^i?
I. An infinite power series converges to for x<1
II. Power series can be added together or subtracted within their interval of convergence.
III. Power series can be integrated within their interval of convergence
(a) I only
(b) II only
(c) I and II
(d) II and III - ANSWER Power series can be added together, subtracted from each
other, differentiated, and integrated within their interval of convergence. The interval of con-
vergence is -1 < x <1. Therefore the answer is D
What is a matrix? - ANSWER A matrix is an ordered set of entries arranged rectangu-
larly and set off by brackets.A matrix itself has no particular value, it is merely a convenient
method of representing a set of numbers.
2
,When can you multiple two matrices together? - ANSWER A matrix can be multiplied
by another matrix, but only if the left-handed matrix has the same number of columns as
the right-hand matrix has rows.
True or False: Addition and subtraction of two matrices are possible only if both matrices
have the same size and shape? - ANSWER True
What is an identity matrix? - ANSWER The identity matrix is a diagonal matrix, mean-
ing that it is a square matrix with all zero entries except for the aij entries, for which i=j. All
nonzero entries are equal to one, and the matrix has the property that AI=IA=A
The product of a Matrix A and its inverse, A^-1 , is the (1) - ANSWER 1) identity matrix
A (1) has only magnitude. Mass, enthalpy, density, and speed are examples of this. - AN-
SWER 1) scalar
Force, momentum, displacement, and velocity are examples are (1). A (1) has a specific di-
rection and magnitude. - ANSWER 1) vectors
What is t-test (based on student's t-distribution) useful for?
(a) testing for distribution of outcomes to see if they come from a normal distribution
(b) determining if the functional is symmetric about zero
(c) comparing values about the mean
(d) determining if the differences between sample means is significant - ANSWER The
t-test is used to determine if the differences between sample are significant or merely the
result of random variations. The answer is D
The binomial probability function is used when? - ANSWER The binomial probability
function is used when all outcomes can be categorized as either successes or failures.
3
, Three nonparallel, nonzero forces act on a rigid body. What must be true of all of these
forces for the body to be in equilibrium?
(a) The forces must be concurrent
(b) The forces must be equal in magnitude but opposite in direction
(c) The forces must have the same line of action
(d) The forces must be at complementary angles to one another - ANSWER Equilib-
rium requires summ=0 about any point in the body. For a general three-forced system, this is
possible only if the force acts through the same point. Therefore the answer is A
What is a moment? - ANSWER A force to rotate, turn, or twist a rigid body a pivot
point. Also called torque and are vectors.
Any pair of equal, opposite, and parallel forces constitute a (1) - ANSWER 1) couple
A (1) is a category of force systems wherein all of the forces act at the same point. - AN-
SWER 1) Concurrent force system
A two-force member can be in equilibrium only if the two forces have the same (1) and (2) -
ANSWER 1) line of action
2) are equal but opposite
The roller support, shown as a cylinder supporting the beam, supports (1) forces only - AN-
SWER 1) vertical
A three-force member can be in equilibrium only if the three forces are (1) or (2) - AN-
SWER 1) concurrent
2) parallel
4
