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CIVL125Test1-2021-Online2.pdf

CIVL125 Physics and Statics Humber College - Faculty of Applied Science and Technology

CIVL125 – Physics and Statics-Test 1

Cheating, by obtaining answers to questions through unauthorized means (from another student, from

internet etc.) is an academic offence and is punishable by academic penalty. An academic penalty begins

with the assignment of a grade of zero (0) in such situations and can be extended up to and including

suspension from a program/ course and expulsion from the College.

Student Name & Signature: ___________________________________________________

Student Number: _________________ Date: February 5, 2021 10:00am-1:25pm

Test Format:

 Open Book  This Test weighting is 25% of total course mark weight.  Be sure your name is completed on this test booklet.  Provide a single test pdf file named: Yourlastname_Yourfirstname_CIVL125Test1  Email to [email protected].

Good luck! Organization/Neatness of the Assignment

Not a single pdf file -10%

File Name not as Required -5%

Messy work -10%

Missing Units -10%

CIVL125 Physics and Statics Humber College - Faculty of Applied Science and Technology

Some Multiples and Conversions:

Giga=109

Mega=106

kilo=103

milli=10-3

micro=10-6

1ft=0.3048m

1in=25.4mm

1lb=4.4482N

1Pa=N/m2

A

Cosine Law:

A

Sine Law:

CIVL125 Physics and Statics Humber College - Faculty of Applied Science and Technology

Question 1: Calculations, Dimensional Analysis and Trigonometry.

Show all calculations step by step otherwise the mark will be zero. Pick up your

personalized data from the table below. (20%)

First Letter of Your First Name “a”

Second Letter of Your First Name “b”

First Letter of Your Last Name “c”

Second Letter of Your Last Name “d”

A-G 50 A-G 6 A-G 400 A-G 0.6 H-M 60 H-M 7 H-M 500 H-M 40

N-R 70 N-R 8 N-R 600 N-R 50 S-Z 80 S-Z 9 S-Z 700 S-Z 12

a) Evaluate the following to three significant digits and and express the answer

in SI units (N,m,kg) using an appropriate prefix: (a MN)(b km)/(c mg) (6%)

b) Convert d kips/ft to kN/m. Evaluate the answer to three significant digits and

an appropriate prefix: (6%)

c) Convert a pcf to kN/m3. Evaluate the answer to three significant digits and an

appropriate prefix: (8%)

CIVL125 Physics and Statics Humber College - Faculty of Applied Science and Technology

Question 2: An Egyptian piramid has a square base and symmetrical sloping

faces. The inclination of each slopping face is α. At a distance AO from the

base, on level ground, the angle of inclination to the apex is β. Pick up your

personalized data from the table below. (20%)

First Letter of Your First Name “α” (degrees)

Second Letter of Your First Name “β” (degrees)

First Letter of Your Last Name “AO”

A-G 53007’ A-G 27009’ A-G 600 ft

H-M 51051’ H-M 30027’ H-M 500 ft N-R 47032’ N-R 22048’ N-R 400 ft

S-Z 60015’ S-Z 20051’ S-Z 700 ft

a) Circle your data in the table above with a red marker. Then draw your sketch

with your personal data. Draw in scale. (2%)

b) Find the vertical height TB. (6%)

c) Find the slant height TA. (6%)

d) Find the width of the pyramid base. (6%)

CIVL125 Physics and Statics Humber College - Faculty of Applied Science and Technology

Question 3: The coplanar concurrent force system shown is made of two forces F1

and F2. Pick up your personalized data from the table below. (20%)

First Letter of Your First Name “F1”

Second Letter of Your First Name “F2”

First Letter of Your Last Name “α”

A-G 75 lb A-G 60 lb A-G 300 H-M 80 lb H-M 55 lb H-M 320

N-R 90 lb N-R 50 lb N-R 340 S-Z 100 lb S-Z 45 lb S-Z 360

a) Circle your data in the table above with a red marker. Then draw your sketch

with your personal data. Draw in scale. (2%)

b) Determine the magnitude of the resultant force graphically. Use triangle

and/or parallelogram method. (6%)

c) Determine the magnitude of the resultant force analytically. (6%)

d) Analytically, determine the direction angle φx of the resultant force measured

counterclockwise from negative X axis. (6%)

CIVL125 Physics and Statics Humber College - Faculty of Applied Science and Technology

Question 4: The transformer with weight F is being lifted by two forces F1

and F2 shown below. Pick up your personalized data from the table below

(20%)

First Letter of Your First Name “F”

Second Letter of Your First Name “F1”

First Letter of Your Last Name “α”

A-G 6000 lb A-G 5000 lb A-G 250

H-M 6500 lb H-M 4800 lb H-M 270 N-R 7000 lb N-R 4600 lb N-R 290

S-Z 7500 lb S-Z 4400 lb S-Z 310

a) Circle your data in the table above with a red marker. Then draw your

structure with your personal data. Draw in scale. (2%)

b) Graphically determine the magnitude of the force F2 so that the resultant of

the lifting force (which is equal to F) will act vertically upward. Use the

triangle and/or parallelogram method. (6%)

c) Determine the magnitude of force F2 analytically. (6%)

d) Analytically, determine the direction angle θ. (6%)

CIVL125 Physics and Statics Humber College - Faculty of Applied Science and Technology

Question 5: The resultant force F of three concurrent forces F1, F2, F3

shown, is acting vertically upward along the Y axis. Pick up your

personalized data from the table below. (20%)

First Letter of Your First Name “F”

Second Letter of Your First Name “F2”

First Letter of Your Last Name “F3”

Second Letter of Your Last Name “α”

A-G 300 lb A-G 500 lb A-G 240 lb A-G 300

H-M 350 lb H-M 550 lb H-M 260 lb H-M 320

N-R 400 lb N-R 460 lb N-R 280 lb N-R 340 S-Z 450 lb S-Z 600 lb S-Z 300 lb S-Z 360

a) Circle your data in the table above with a red marker. Then draw your

structure with your personal data. Draw in scale. (2%)

b) Graphically determine the magnitude of the force F1 using component

method. (6%)

c) Determine the magnitude of force F1 analytically using component method.

(6%).

d) Analytically, determine the direction angle θ. (6%)