ENGR 1212: Engineering Fundamentals II
Shawn Hall
Name:________________________________________
Mid-Term Test #1
(Summer 2020)
000867164
ID#:_________________________
Instructions:
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Please enter your full name and student ID at the top of the page and in the designated fields.
Please answer the questions in the spaces provided. If you need more space, ask the instructor
for an additional blank sheet and attach it with your solutions.
This is a CLOSED-BOOK exam, i.e. NO books, NO notes, and NO Internet!
This test consists of two parts:
o PART A: 25 Multiple choice questions (2 marks each).
o PART B: 5 Analytical problems – For these problems, ALL WORK MUST BE SHOWN and
properly documented to receive full credit.
PART A: (Multiple Choice Questions)
b
_____ 1) Ethics is best defined as:
a) Personal values.
b) Rules of conduct.
c) Recognition of cultural differences.
d) Application of United States laws.
_____ 2) Which of the following is NOT part of the engineering fundamental canons?
a) Act for each employer or client as faithful agents or trustees.
b) Avoid deceptive acts.
c) Avoid actions or decisions that could lead to financial losses in a project.
d) Perform services only in the areas of their competence.
_____ 3) To whom/what is an engineer’s foremost responsibility?
a) Public welfare
b) State and federal laws
c) Client
d) Employer
_____ 4) The team role responsible for setting up the agenda and organizing the time,
location and the needed resources for a meeting is the
a) Recorder
b) Timekeeper
c) Meeting coordinator
d) Gatekeeper
July 16, 2020
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ENGR 1212: Engineering Fundamentals II
Mid-Term Test #1
(Summer 2020)
_____ 5) What are the team development stages and their order?
a) Forming, performing, adjourning, and storming.
b) Forming, storming, norming, performing, and adjourning.
c) Forming, storming, norming, snoring, and adjourning.
d) Storming, norming, forming, performing, and adjourning.
_____ 6) What should each member NOT do in a team?
a) Avoid going to the meetings that you don’t like.
b) Listen to each other’s suggestions without any interruptions.
c) Provide constructive criticism to others when necessary.
d) Complete the assigned tasks on time.
_____ 7) Which of the following is part of the engineering design process?
a) Identify – defining the problem to be solved.
b) Ideate – acquiring and assembling pertinent data.
c) Analyze – a detailed analysis focusing on a few viable solutions.
d) Decision – selection of solution based on the analysis of alternatives.
e) All the above.
The number of home runs hit per game for the softball team are:
1, 2, 4, 3, 2, 4, 3, 0, 1, 2, 3, 5, 2, 1, 𝑎𝑛𝑑 5.
_____ 8) What is the mean number of home runs hit?
a) 5
b) 2.533
c) 49/12
d) 4.5
e) 3.8
_____ 9) What is the median number of home runs hit?
a) 0
b) 1
c) 2
d) 3
e) 4
_____ 10) What is the mode number of home runs hit?
a) 0
b) 1
c) 2
d) 3
e) 4
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ENGR 1212: Engineering Fundamentals II
Mid-Term Test #1
(Summer 2020)
_____ 11) Perform the computation 31.05 / 2.00 and report the answer rounded to the
proper number of significant digits.
a) 16
b) 15.5
c) 1.553 x 101
d) 15.525
_____ 12) How many significant figures are in 0.02003
a) 2
b) 3
c) 4
d) 5
_____ 13) Calculate the determinant of the following matrix.
a)
b)
c)
d)
−10
2
-1
0
−1
[
2
3
]
4
_____ 14) What is the prefix Name given for the multiplier 𝟏𝟎−𝟔 ?
a) Giga
b) milli
c) Mega
d) micro
_____ 15) Given log b (x 3 ) = 1.29, what is log b (x 2 )?
a) 2.58
b) 0.65
c) 2.29
d) 0.86
e) Cannot be determined without knowing 𝑏 and 𝑥
_____ 16) Given 𝑎⃗ = 3𝑖̂ + 2𝑗̂ + 4𝑘̂ and 𝑏⃗⃗ = 2𝑖̂ − 𝑗̂ + 3𝑘̂, the dot product of the vectors is:
a) 16
b) 6𝑖̂ − 2𝑗̂ + 12𝑘̂
c) 5𝑖̂ + 𝑗̂ + 7𝑘̂
d) 13
_____ 17) Which of the following is NOT a Base Unit ?
a) Mass – kilogram(kg)
b) length - meters (m)
c) Energy – Joules (J)
d) Electric current – ampere (A)
July 16, 2020
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ENGR 1212: Engineering Fundamentals II
Mid-Term Test #1
(Summer 2020)
_____ 18) Which of the following is not true of a standard normal distribution
a) The total area under the curve is 1.
b) The value of the mean is 0.
c) The value of the standard deviation is 1.
d) The value of the standard deviation is 0.
_____ 19) The function 𝑦 = 3𝑒 −4𝑥 is linear on what type of graph?
a) Rectilinear.
b) Semilog 𝑦.
c) Semilog 𝑥.
d) Log-log.
_____ 20) In order to use the kinematic equations, what must be true?
a) The acceleration must be constant.
b) The object must be stationary.
c) The net force on the object must be zero.
d) The object must be moving.
_____ 21) For a given breakeven plot, the slope of the expense (or total cost) line is the
a) Inventory amount.
b) Sales price.
c) Variable manufacturing cost.
d) Startup cost.
_____ 22) A series of equal payments at regular intervals is called a/n
a) Benefit
b) Loan.
c) Simple interest.
d) Annuity.
_____ 23) A future amount resolved into a series of equal periodic payments is an example of:
a) An installment loan.
b) A sinking fund
c) A simple interest.
d) A compounding interest.
_____ 24) What would the following MATLAB instruction return in the command window?
m = [ 10
a)
b)
c)
d)
15
20 ; 2
4
6 ]
A 3x2 matrix of elements
A 1x6 vector of elements
A 2x3 matrix of elements
An error.
July 16, 2020
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ENGR 1212: Engineering Fundamentals II
Mid-Term Test #1
(Summer 2020)
_____ 25) What value of 𝑦 will be displayed at the output on the command window in
MATLAB with the following script?
x = 4;
if x < 4
y = x.^2
elseif x > 4
y = 16 – x
else
y = 10
end
a.
b.
c.
d.
e.
4
10
12
16
20
July 16, 2020
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ENGR 1212: Engineering Fundamentals II
Mid-Term Test #1
(Summer 2020)
PART B: (Analytical Problems)
1) A set of SAT math scores are normally distributed with a mean of 540 and a standard
deviation of 80.
a) (5 marks) What is the probability that a person chosen at random will have a score
between 500 and 600? State your result to 3 significant figures.
b) (5 marks) In a class of 60 students, how many of them are expected to achieve a
score of 580 or higher? State your result to the nearest integer.
July 16, 2020
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ENGR 1212: Engineering Fundamentals II
Mid-Term Test #1
(Summer 2020)
2) (10 marks) A prototype aircraft was suspended in a wind tunnel and the force of the air
resistance (N) was measured for various levels of wind velocity (m/s). In a lab test, the
following data were measured and recorded.
velocity (m/s)
10
20
30
40
50
60
Force (N)
12
72
208
439
784
1260
Given that the power equation (i.e. of general form 𝒚 = 𝒄𝒙𝒎 ) would be the best fit for
the given data, determine the coefficients of the equation that best represents the force
as a function of velocity.
July 16, 2020
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ENGR 1212: Engineering Fundamentals II
Mid-Term Test #1
(Summer 2020)
3) Acme Technology is a business that manufactures door hinges. A machinist that was hired to
make these parts is paid $20/hour and can make 5 shafts per hour. The cost of the materials
is $0.40 per hinge. The total fixed costs are $5000 and each sellable hinge is sold for $10.
a) (5 marks) Find the number of shafts that must be sold to break even. State your result
to the nearest integer.
b) (5 marks) If the company expects to sell 1200 of these hinges, what should it aim to
have its total variable costs be if they wish to also earn a profit of $2500 from these
sales? Assume the same total fixed cost of $5000 and a selling price of $10.
July 16, 2020
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ENGR 1212: Engineering Fundamentals II
Mid-Term Test #1
(Summer 2020)
4) (10 marks) The position of by a particle (in m) as a function of time 𝑡, can be expressed as
𝑠(𝑡) = 3𝑡 2 +𝑒 −0.4𝑡
Determine the velocity and acceleration at time 𝑡 = 4 seconds. State your result to 4
significant figures.
5) (10 marks) A student wishes to save some money in order to purchase a vehicle after they
graduate in 3 years. The student opted to open a savings account with an annual interest
rate of 4.5% compounded monthly and depositing a fixed amount of $150 into the
account each month for 3 years.
i. How much will the student expect to receive after 3 years?
ii. Draw a cash-flow diagram that describes this situation from the student’s
perspective.
iii. How much interest in total was earned from the savings account?
July 16, 2020
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ENGR 1212: Engineering Fundamentals II
6)
Mid-Term Test #1
(Summer 2020)
(+10 Bonus marks): Engineering is about solving problems. The problem-solving process involves 7
steps to be followed in a particular order. Six of the seven steps are given below, but not in the
required order. Identify the missing step and enter them in the correct order in each of the boxes of
the conceptual map.
Problem solving step:
 Gather necessary data.
 Document assumptions.
 Define the problem.
 Check your answer.
 Write the relevant theories and equations.
 Synthesize the solution.
 ??
July 16, 2020
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ENGR 1212: Engineering Fundamentals II
Mid-Term Test #1
(Summer 2020)
Potentially Useful Information:
1 inch = 0.0254 m
1 foot = 12 inches
1 mile = 5280 ft
1 acre = 43560 ft2
1 lbf = 4.4482 N
1 lbm= 0.45359 kg
1 liter = 61.02 in3
1 liter = 0.0353 ft3
1 mph = 1.4667 ft/s
1 mph = 0.44704 m/s
o
o
0 C = 273.15 K = 32 F = 491.67oR
sin 𝐴
Law of Sines:
𝑎
Law of Cosines:
=
sin 𝐵
𝑏
=
1 foot = 0.3048 m
1 hectare = 2.47 acres
1 slug = 14.594 kg
1 ft3 = 7.4805 gal
1 J = 0.73756 lbf.ft
oC = (5/9)*(oF -32)
sin 𝐶
𝑐
𝑐 2 = 𝑎2 + 𝑏 2 − 2𝑎𝑏 cos(𝐶)
Dot Product Rule: 𝑎⃗. 𝑏⃗⃗ = |𝑎⃗|. |𝑏⃗⃗|. cos 𝜃𝑎𝑏
1
Mean 𝜇 = ∑𝑛𝑖=1 𝑥𝑖
Variance 𝜎 2 =
𝑛
Standard Normal Distribution 𝑓(𝑧) =
1
√2𝜋
𝑒 −𝑧
log 𝑏 𝑃𝑄 = log 𝑏 𝑃 + log 𝑏 𝑄
log 𝑏 𝑃𝑚 = 𝑚 log 𝑏 𝑃
1
Position 𝑥 = 𝑣0 𝑡 + 𝑎0 𝑡 2
2 ⁄2
1
𝑛−1
∑𝑛𝑖=1(𝑥𝑖 − 𝜇)2
with 𝑧 =
log 𝑏
𝑥−𝜇
𝜎
𝑃
= log 𝑏 𝑃 − log 𝑏 𝑄
𝑄
log 𝑏 𝑁 =
log 𝑎 𝑁
log 𝑎 𝑏
Velocity 𝑣 = 𝑣0 + 𝑎0 𝑡
2
𝑇𝑜𝑡𝑎𝑙 𝑅𝑒𝑣𝑒𝑛𝑢𝑒 = (𝑢𝑛𝑖𝑡 𝑝𝑟𝑖𝑐𝑒) × (𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑢𝑛𝑖𝑡𝑠)
𝑇𝑜𝑡𝑎𝑙 𝑐𝑜𝑠𝑡𝑠 = (𝑓𝑖𝑥𝑒𝑑 𝑐𝑜𝑠𝑡𝑠) + (𝑣𝑎𝑟𝑖𝑎𝑏𝑙𝑒 𝑐𝑜𝑠𝑡𝑠) × (𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑢𝑛𝑖𝑡𝑠)
Simple Interest: 𝐹 = 𝑃. (1 + 𝑛𝑖)
Sinking Fund: 𝐹 = 𝐴. [
(1+𝑖)𝑛 −1
𝑖
]
Compound Interest: 𝐹 = 𝑃. (1 + 𝑖)𝑛
𝑖(1+𝑖)𝑛
Installment Loan: 𝐴 = 𝑃. [(1+𝑖)𝑛 ]
−1
July 16, 2020
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ENGR 1212: Engineering Fundamentals II
Mid-Term Test #1
(Summer 2020)
Normal Distribution Table
z
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
2.0
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
2.9
3.0
0.00
0.0000
0.0398
0.0793
0.1179
0.1554
0.1915
0.2257
0.2580
0.2881
0.3159
0.3413
0.3643
0.3849
0.4032
0.4192
0.4332
0.4452
0.4554
0.4641
0.4713
0.4772
0.4821
0.4861
0.4893
0.4918
0.4938
0.4953
0.4965
0.4974
0.4981
0.4987
0.01
0.0040
0.0438
0.0832
0.1217
0.1591
0.1950
0.2291
0.2611
0.2910
0.3186
0.3438
0.3665
0.3869
0.4049
0.4207
0.4345
0.4463
0.4564
0.4649
0.4719
0.4778
0.4826
0.4864
0.4896
0.4920
0.4940
0.4955
0.4966
0.4975
0.4982
0.4987
0.02
0.0080
0.0478
0.0871
0.1255
0.1628
0.1985
0.2324
0.2642
0.2939
0.3212
0.3461
0.3686
0.3888
0.4066
0.4222
0.4357
0.4474
0.4573
0.4656
0.4726
0.4783
0.4830
0.4868
0.4898
0.4922
0.4941
0.4956
0.4967
0.4976
0.4982
0.4987
0.03
0.0120
0.0517
0.0910
0.1293
0.1664
0.2019
0.2357
0.2673
0.2967
0.3238
0.3485
0.3708
0.3907
0.4082
0.4236
0.4370
0.4484
0.4582
0.4664
0.4732
0.4788
0.4834
0.4871
0.4901
0.4925
0.4943
0.4957
0.4968
0.4977
0.4983
0.4988
0.04
0.0160
0.0557
0.0948
0.1331
0.1700
0.2054
0.2389
0.2704
0.2995
0.3264
0.3508
0.3729
0.3925
0.4099
0.4251
0.4382
0.4495
0.4591
0.4671
0.4738
0.4793
0.4838
0.4875
0.4904
0.4927
0.4945
0.4959
0.4969
0.4977
0.4984
0.4988
0.05
0.0199
0.0596
0.0987
0.1368
0.1736
0.2088
0.2422
0.2734
0.3023
0.3289
0.3531
0.3749
0.3944
0.4115
0.4265
0.4394
0.4505
0.4599
0.4678
0.4744
0.4798
0.4842
0.4878
0.4906
0.4929
0.4946
0.4960
0.4970
0.4978
0.4984
0.4989
0.06
0.0239
0.0636
0.1026
0.1406
0.1772
0.2123
0.2454
0.2764
0.3051
0.3315
0.3554
0.3770
0.3962
0.4131
0.4279
0.4406
0.4515
0.4608
0.4686
0.4750
0.4803
0.4846
0.4881
0.4909
0.4931
0.4948
0.4961
0.4971
0.4979
0.4985
0.4989
0.07
0.0279
0.0675
0.1064
0.1443
0.1808
0.2157
0.2486
0.2794
0.3078
0.3340
0.3577
0.3790
0.3980
0.4147
0.4292
0.4418
0.4525
0.4616
0.4693
0.4756
0.4808
0.4850
0.4884
0.4911
0.4932
0.4949
0.4962
0.4972
0.4979
0.4985
0.4989
0.08
0.0319
0.0714
0.1103
0.1480
0.1844
0.2190
0.2517
0.2823
0.3106
0.3365
0.3599
0.3810
0.3997
0.4162
0.4306
0.4429
0.4535
0.4625
0.4699
0.4761
0.4812
0.4854
0.4887
0.4913
0.4934
0.4951
0.4963
0.4973
0.4980
0.4986
0.4990
0.09
0.0359
0.0753
0.1141
0.1517
0.1879
0.2224
0.2549
0.2852
0.3133
0.3389
0.3621
0.3830
0.4015
0.4177
0.4319
0.4441
0.4545
0.4633
0.4706
0.4767
0.4817
0.4857
0.4890
0.4916
0.4936
0.4952
0.4964
0.4974
0.4981
0.4986
0.4990
July 16, 2020
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