The subject of mechanics deals with what happens to a body when ______ is/are applied to it. A) a magnetic field B) heat C) forces D) neutrons E) lasers
C) forces
________________ still remains the basis of most of today's engineering sciences. A) Newtonian Mechanics B) Relativistic Mechanics C) Greek Mechanics C) Euclidean Mechanics
A) Newtonian Mechanics
Evaluate the situation in which mass (kg), force (N), and length (m) are the base units and recommend one of the following. A) A new system of units will have to be formulated. B) Only the unit of time have to be changed from second to something else. C)
C) No changes are required.
Give the most appropriate reason for using three significant figures in reporting results of typical engineering calculations. A) Historically slide rules could not handle more than three significant figures. B) Three significant figures provides better t
D) Most of the original data used in engineering calculations do not have accuracy better than one
For a static's problem, your calculations show the final answer as 12345.6 N. What should you write as your final answer? A) 12345.6 N B) 12.3456 kN C) 12 kN D) 12.3 kN E) 123 kN
D) 12.3 kN
In the three-step approach to problem solving called IPE, what does P stand for? A) Position B) Plan C) Problem D) Practical E) Possible
B) Plan
Which one of the following is a scalar quantity? A) Force B) Position C) Mass D) Velocity
C) Mass
For vector addition, you have to use ______ law. A) Newton's Second B) the arithmetic C) Pascal's D) the parallelogram
D) the parallelogram
Can you resolve a 2-D vector along two directions, which are not at 90� to each other? A) Yes, but not uniquely. B) No. C) Yes, uniquely.
C) Yes, uniquely.
Can you resolve a 2-D vector along three directions (say at 0, 60, and 120�)? A) Yes, but not uniquely. B) No. C) Yes, uniquely.
A) Yes, but not uniquely.
Determine the magnitude of the resultant (F1 + F2) force in N when F1 = { 10 i + 20 j } N and F2 = { 20 i + 20 j } N . A) 30 N B) 40 N C) 50 N D) 60 N E) 70 N
C) 50 N
The position vector rPQ is obtained by A) Coordinates of Q minus coordinates of the origin B) Coordinates of P minus coordinates of Q C) Coordinates of Q minus coordinates of P D) Coordinates of the origin minus coordinates of P2.
C) Coordinates of Q minus coordinates of P
A force of magnitude F, directed along a unit vector U, is given by F = ______ . A) F (U) B) U / F C) F / U D) F + U E) F - U
A) F (U)
P and Q are two points in a 3-D space. How are the position vectors rPQ and rQP related? A) rPQ = rQP B) rPQ = - rQP C) rPQ = 1/rQP D) rPQ = 2 rQP
B) rPQ = - rQP
If F and r are force and position vectors, respectively, in SI units, what are the units of the expression (r * (F / F))? A) Newton B) Dimensionless C) Meter D) Newton - Meter E) The expression is algebraically illegal.
C) Meter
Two points in 3-D space have coordinates of P (1, 2, 3) and Q (4, 5, 6) meters. The position vector rQP is given by A) {3 i + 3 j + 3 k} m B) {- 3 i - 3 j - 3 k} m C) {5 i + 7 j + 9 k} m D) {- 3 i + 3 j + 3 k} m E) {4 i + 5 j + 6 k} m
B) {- 3 i - 3 j - 3 k} m
A force vector, F, directed along a line defined by PQ is given by A) (F/ F) rPQ B) rPQ/rPQ C) F(rPQ/rPQ) D) F(rPQ/rPQ)
C) F(rPQ/rPQ)
The dot product of two vectors P and Q is defined as A) P Q sin ? B) P Q cos ? C) P Q tan ? D) P Q sec ?
B) P Q cos ?
The dot product of two vectors results in a _________ quantity. A) Scalar B) Vector C) Complex D) Zero
A) Scalar
If a dot product of two non-zero vectors is 0, then the two vectors must be _____________ to each other. A) Parallel (pointing in the same direction) B) Parallel (pointing in the opposite direction) C) Perpendicular D) Cannot be determined.
C) Perpendicular
If a dot product of two non-zero vectors equals -1, then the vectors must be ________ to each other. A) Collinear but pointing in the opposite direction B) Parallel (pointing in the opposite direction) C) Perpendicular D) Cannot be determined.
A) Collinear but pointing in the opposite direction
The dot product can be used to find all of the following except ____ . A) sum of two vectors B) angle between two vectors C) component of a vector parallel to another line D) component of a vector perpendicular to another line
A) sum of two vectors
Find the dot product of the two vectors P and Q. P = {5 i + 2 j + 3 k} m Q = {-2 i + 5 j + 4 k} m A) 12 m B) 12 m C) 12 m 2 D) 12 m 2 E) 10 m 2
C) 12 m 2
When a particle is in equilibrium, the sum of forces acting on it equals ___ . (Choose the most appropriate answer) A) A constant B) A positive number C) Zero D) A negative number E) An integer
C) Zero
For a frictionless pulley and cable, tensions in the cable (T1 and T2) are related as _____ . A) T1 > T2 B) T1 = T2 C) T1 < T2 D) T1 = T2 sin ?
B) T1 = T2
Particle P is in equilibrium with five (5) forces acting on it in 3-D space. How many scalar equations of equilibrium can be written for point P? A) 2 B) 3 C) 4 D) 5 E) 6
B) 3
In 3-D, when a particle is in equilibrium, which of the following equations apply? A) (? Fx) i + (? Fy) j + (? Fz) k = 0 B) ? F = 0 C) ? Fx = ? Fy = ? Fz = 0 D) All of the above. E) None of the above.
D) All of the above.
In 3-D, when you know the direction of a force but not its magnitude, how many unknowns corresponding to that force remain? A) One B) Two C) Three D) Four
A) One
If a particle has 3-D forces acting on it and is in static equilibrium, the components of the resultant force (? Fx, ? Fy, and ? Fz ) ___ . A) have to sum to zero, e.g., -5 i + 3 j + 2 k B) have to equal zero, e.g., 0 i + 0 j + 0 k C) have to be positive,
B) have to equal zero, e.g., 0 i + 0 j + 0 k
In 3-D, when you don't know the direction or the magnitude of a force, how many unknowns do you have corresponding to that force? A) One B) Two C) Three D) Four
C) Three
If M = r � F, then what will be the value of M � r? A) 0 B) 1 C) r 2 F D) None of the above
A) 0
If r = { 5 j } m and F = { 10 k } N, the moment r � F equals { _______ } N�m. A) 50 i B) 50 j C) -50 i D) - 50 j E) 0
A) 50 i