FE Electrical and Computer 2024

define Enthalpy Correct 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. 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