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GNG 1105 Sample Final Exam 2018, Exams of Mechanics

This is a sample final exam for the 2018 fall semester. This final exam is for engineering mechanics

Typology: Exams

2018/2019

Uploaded on 12/14/2019

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Universtié d’Ottawa
Faculté de génie
Departement de
génie civil
L’Université canadienne
Canada’s university
GNG 1105
ENGINEERING MECHANICS
University of Ottawa
Faculty of Engineering
Civil engineering
Department
Final Examination
17 December 2018
Profs. A. Skaff, A. Nastic, D. A. Macdonald, M. Noel and
P. Richer
Time: 3 hrs
Page 1 of 2
___________________________________________________________________________________
Closed Book Examination. Programmable calculators are not allowed.
Free-body diagrams must be drawn where appropriate.
_________________________________________________________________________________
Problem 1 (16/60)
Mast ABC is being supported by a ball-and-socket
joint at base A and by three cables BE, BG and CD
as shown.
a) Draw the free-body diagram for mast ABC
b) Write the tensions in cables BE, BG and CD in
vector form.
c) If the tension in cable CD is 500 N, determine
the tensions in cables BE and BG.
Problem 2 (11/60)
For the truss shown and assuming that all joints
are pinned,
a) Calculate the reactions at supports A & E.
b) Determine the forces in members CD, GD
and GF using the method of sections. State
whether each member is in tension or
compression.
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Universtié d’Ottawa

Faculté de génie

Departement de génie civil L’Université canadienne Canada’s university GNG 1105 ENGINEERING MECHANICS

University of Ottawa

Faculty of Engineering

Civil engineering Department Final Examination 17 December 20 18 Profs. A. Skaff, A. Nastic, D. A. Macdonald, M. Noel and P. Richer Time: 3 hrs Page 1 of 2


Closed Book Examination. Programmable calculators are not allowed. Free-body diagrams must be drawn where appropriate.


Problem 1 (1 6 /60) Mast ABC is being supported by a ball-and-socket joint at base A and by three cables BE, BG and CD as shown. a) Draw the free-body diagram for mast ABC b) Write the tensions in cables BE, BG and CD in vector form. c) If the tension in cable CD is 500 N, determine the tensions in cables BE and BG. Problem 2 (1 1 /60) For the truss shown and assuming that all joints are pinned, a) Calculate the reactions at supports A & E. b) Determine the forces in members CD, GD and GF using the method of sections. State whether each member is in tension or compression.

2 of 2 Problem 3 (1 1 /60) Two boxes are hanging from the frame shown to the right. The mass of each of these boxes is 30 Kg. a) Determine the reactions at the supports A and E. b) Determine all the forces acting on member ABC. Problem 4 (1 1 /60) To level a wood deck, wood wedges A&B are placed under a corner of the deck. Wedge B rests on a wood board as shown, and a bar clamp is used to apply equal an opposite forces to the wedges. The load transmitted from the deck to the wedges is 8 kN. Knowing that θ=18° and that the coefficient of static friction between all wood surfaces is 0.35 and between the board and the ground is 0.6, determine the magnitude of P of the clamping forces for which upward motion of the deck is impending. Problem 5 (1 1 /60) A projectile is fired from point A, located at h 0 = 2m above the ground, with an initial velocity v 0 and at an angle α=50°. (a) What should be the minimum value of v 0 for the projectile to clear the wall if its height is H=5 m? (b) For the value of v 0 obtained in part (a), determine the distance L that separates point A from the wall. Useful Equations: x = x 0 + vt v = v 0 + at x = x 0 + v 0 t + ½ at^2 v^2 = v 02 + 2a (x – x 0 ) F = ma ∑ F = ma