Define Enthalpy Correct Answer: total energy of a system
Which of the following is true of the electric field intensity about an isolated point
... [Show More] 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. Correct 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 Correct Answer: A.
you are competent in the area of modern control systems
The SI system uses (1) for mass and (2) for weight (force). Correct Answer: 1) Kilograms
2) Newtons
Mass is a constant property of an object where (1) varies with gravitational field. Correct Answer: 1)
weight
What is a metric ton? Correct Answer: A metric ton also known as a tonne, is 1000 kg
What is a kip? Correct 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 Correct 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 Correct 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 Correct Answer: Power 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? Correct Answer: A 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? Correct 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? Correct Answer: True
What is an identity matrix? Correct Answer: The 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) Correct Answer: 1) identity matrix
A (1) has only magnitude. Mass, enthalpy, density, and speed are examples of this. Correct Answer:
1) scalar
Force, momentum, displacement, and velocity are examples are (1). A (1) has a specific direction
and magnitude. Correct 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 Correct 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? Correct Answer: The 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 Correct Answer: Equilibrium 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? Correct 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) Correct Answer: 1) couple
A (1) is a category of force systems wherein all of the forces act at the same point. Correct Answer:
1) Concurrent force system
A two-force member can be in equilibrium only if the two forces have the same (1) and (2) Correct
Answer: 1) line of action
2) are equal but opposite
The roller support, shown as a cylinder supporting the beam, supports (1) forces only Correct
Answer: 1) vertical
A three-force member can be in equilibrium only if the three forces are (1) or (2) Correct Answer: 1)
concurrent
2) parallel
The pinned support, shown as a pin and clevis, supports both (1) and (2) forces. (3) equilibrium
equations are needed. Correct Answer: 1) 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. Correct
Answer: True
Which type of load is not resisted by a pinned joint?
a) moment
b) shear
c) axial
d) compression Correct Answer: A 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 Correct Answer: Only 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? Correct Answer: A 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 Correct Answer: Truss
Since truss members are axial members, the forces on the truss joint are (1) forces. Correct Answer:
1) concurrent
What is a zero force member? Correct Answer: A 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 Correct Answer: Since 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? Correct Answer: It states that the linear momentum
is unchanged if no unbalanced force acts on the particle.
What is Newton's First Law? Correct Answer: An 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.
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