ANSWERS|| LATEST UPDATE 2026
define Enthalpy - ANSWERtotal 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. - ANSWERD. 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 -
ANSWERA. you are competent in the area of modern control systems
The SI system uses (1) for mass and (2) for weight (force). - ANSWER1) Kilograms
2) Newtons
Mass is a constant property of an object where (1) varies with gravitational field. -
ANSWER1) weight
What is a metric ton? - ANSWERA metric ton also known as a tonne, is 1000 kg
What is a kip? - ANSWERThe abbreviation "kip" is used for "kilo-pound": 1000 pounds
of force
What basic SI unit is equal to kg*m^2/s^2 - ANSWERKinetic 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 - ANSWERThe 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 - ANSWERPower series can be added together, subtracted from each
other, differentiated, and integrated within their interval of convergence. The interval of
convergence is -1 < x <1. Therefore the answer is D
What is a matrix? - ANSWERA matrix is an ordered set of entries arranged
rectangularly and set off by brackets.A matrix itself has no particular value, it is merely a
convenient method of representing a set of numbers.
When can you multiple two matrices together? - ANSWERA 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? - ANSWERTrue
What is an identity matrix? - ANSWERThe identity matrix is a diagonal matrix, meaning
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) - ANSWER1) identity matrix
A (1) has only magnitude. Mass, enthalpy, density, and speed are examples of this. -
ANSWER1) scalar
Force, momentum, displacement, and velocity are examples are (1). A (1) has a specific
direction and magnitude. - ANSWER1) 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 - ANSWERThe 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? - ANSWERThe binomial probability
function is used when all outcomes can be categorized as either successes or failures.
,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 - ANSWEREquilibrium
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? - ANSWERA 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) - ANSWER1) couple
A (1) is a category of force systems wherein all of the forces act at the same point. -
ANSWER1) Concurrent force system
A two-force member can be in equilibrium only if the two forces have the same (1) and
(2) - ANSWER1) line of action
2) are equal but opposite
The roller support, shown as a cylinder supporting the beam, supports (1) forces only -
ANSWER1) vertical
A three-force member can be in equilibrium only if the three forces are (1) or (2) -
ANSWER1) concurrent
2) parallel
The pinned support, shown as a pin and clevis, supports both (1) and (2) forces. (3)
equilibrium equations are needed. - ANSWER1) vertical
2) horizontal
3) two
True or False: When a body is in contact with a friction-less surface, there is no frictional
forces component parallel to the surface. Therefore, the reaction is normal to the
contact surfaces. - ANSWERTrue
Which type of load is not resisted by a pinned joint?
a) moment
b) shear
c) axial
d) compression - ANSWERA pinned support will transmit or support all forces but not
the moment therefore the answer is A
, A rigid body is subjected to three concurrent, co-planar forces. What is the minimum
number of independent forces equations are necessary to establish the equilibrium
conditions?
a) 0
b) 1
c) 2
d) 3 - ANSWEROnly force equilibrium equations are needed to analyze systems of
concurrent forces. For planar forces, only two equations are necessary to establish
equilibrium. Answer is C
What is a truss? - ANSWERA braced structure spanning a ravine, gorge or other land
depression in order to support a road or rail line.
True or false: Truss loads are considered to act only in the plane of the truss -
ANSWERTruss
Since truss members are axial members, the forces on the truss joint are (1) forces. -
ANSWER1) concurrent
What is a zero force member? - ANSWERA truss member that theoretically carries no
direct load and whose omission would not alter the stability of the truss configuration
A perfect sphere moves up a friction-less incline. Which of the following quantities
increases?
a) angular velocity
b) total energy
c) potential energy
d) linear momentum - ANSWERSince the system is friction-less, there is no moment
causing the sphere to rotate or to stop rotating. Therefore, angular velocity and total
energy is constant. Kinetic energy is converted into potential energy. As the linear
velocity decreases, do does the linear momentum. The answer is C
What is the Law of Conservation of Momentum? - ANSWERIt states that the linear
momentum is unchanged if no unbalanced force acts on the particle.
What is Newton's First Law? - ANSWERAn object at rest stays at rest and an object in
motion stays in motion with the same speed and in the same direction unless acted
upon by an unbalanced external force.
What is Newton's second law? - ANSWERForce equals mass times acceleration
(F=ma)
What is the coefficient of friction? - ANSWERthe ratio of the force of friction to the
normal force acting between two objects