complete solutions
total energy of a system - ANS ✔✔define Enthalpy
D. It varies inversely as the square of the distance to the charge. - ANS ✔✔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.
A. you are competent in the area of modern control systems - ANS ✔✔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
1) Kilograms
2) Newtons - ANS ✔✔The SI system uses (1) for mass and (2) for weight (force).
1) weight - ANS ✔✔Mass is a constant property of an object where (1) varies with gravitational
field.
,A metric ton also known as a tonne, is 1000 kg - ANS ✔✔What is a metric ton?
The abbreviation "kip" is used for "kilo-pound": 1000 pounds of force - ANS ✔✔What is a kip?
Kinetic energy is calculated in SI units as (1/2)mv^2, with units of the joule - ANS ✔✔What basic
SI unit is equal to kg*m^2/s^2
The main property of an identity matrix is that AI=A. Therefore, choice (d) is false - ANS
✔✔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
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 - ANS ✔✔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
,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.
- ANS ✔✔What is a matrix?
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. - ANS ✔✔When can you multiple two
matrices together?
True - ANS ✔✔True or False: Addition and subtraction of two matrices are possible only if both
matrices have the same size and shape?
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 - ANS ✔✔What is an identity matrix?
1) identity matrix - ANS ✔✔The product of a Matrix A and its inverse, A^-1 , is the (1)
1) scalar - ANS ✔✔A (1) has only magnitude. Mass, enthalpy, density, and speed are examples
of this.
1) vectors - ANS ✔✔Force, momentum, displacement, and velocity are examples are (1). A (1)
has a specific direction and magnitude.
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 - ANS ✔✔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
, The binomial probability function is used when all outcomes can be categorized as either
successes or failures. - ANS ✔✔The binomial probability function is used when?
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 - ANS
✔✔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
A force to rotate, turn, or twist a rigid body a pivot point. Also called torque and are vectors. -
ANS ✔✔What is a moment?
1) couple - ANS ✔✔Any pair of equal, opposite, and parallel forces constitute a (1)
1) Concurrent force system - ANS ✔✔A (1) is a category of force systems wherein all of the
forces act at the same point.
1) line of action
2) are equal but opposite - ANS ✔✔A two-force member can be in equilibrium only if the two
forces have the same (1) and (2)
1) vertical - ANS ✔✔The roller support, shown as a cylinder supporting the beam, supports (1)
forces only
1) concurrent