Formulae
1. Law of Cosines:
Law of Sines:
c2 = a 2 + b2 2ab cos
b
a
b
c
=
=
sin sin sin
a
c
Solution for Quadratic Equation ax 2 + bx + c = 0
x1,2 =
b b2 4ac
2a
2. Kinematics of Rectilinear Motions
2
Definitions or derived from definitions: v = dx , a =

Mid-term 2011:
Question 1:
a. Yes.
b. aC/T=1.12 m/s2.
Question 2:
a. It slides.
b. aA=6.30 m/s2, aB=3.15 m/s2.
Question 3:
Moves 0.375 m.
Question 4:
a. v=10.05 m/s.
b. a =0. So the vertical component of the spring force = the weight.
Mid-term 2013:
Quest

ENGG349-Tutorial 1
Two automobiles A and B are approaching
each other in adjacent highway lanes. At
_ . (=0. AandB are lkmapart.theirspeeds
A _ ' D are VA = arid \B =63 kill/h. and
g they are at Points P and Q. respectively.
Knowing that A passes Point Q

ENME 349 (2014) - Tutorial No. 2
September 15, 2014
Question 1
Consider two two-dimensional vectors r1 = 5i + 2j and r2 = 2i 5j.
a. Draw the two vectors.
b. What is their length r1 and r2 ? What angle do they make with the x axis,
and between each other?

ENGG 349-Tutorial 3
Q1) The 5-kg collar A is sliding around a smooth vertical guide rod. At the instant shown, the speed of
the collar is 4 m/s, which is increasing at 3 m/s2. Dtermine the normal reaction of the guide rod on the
collar and force P
Q2) Det

ENGG 349-Tutorial 4
Q1) The small object of mass m is placed on the rotating conical surface at the raduis shown, if the
coefficient of static friction between the object and the rotating surface is 0.8, calculate the maximum
angular velocity of the cone

ENGG 349-Tutorial 5
Q1) Two identical blocks are released from the rest. Neglecting the mass of the pulleys and knowing that
the coefficients of static and kinetic friction are s=0.4, k=0.3. (a) Determine the velocity of the block B
after it has moved 2m.

ENGG 349
MID-TERM EXAM - Fall 2011
November 14, 2011 18:30-20:30
Time: 2 hours duration
Name: _
Lecture Section: _
Instructions:
1. Examination is CLOSED BOOKS.
2. Only SCHULICH CALCULATORS are allowed.
3. Whenever the problem calls for a free-body diagra

ENGG 349
MID-TERM EXAM - Fall 2013
October 29, 2013 18:00-20:00
Time: 2 hours duration
Name: _
Lecture Section: _
Instructions:
1. Examination is CLOSED BOOKS.
2. Only SCHULICH CALCULATORS are allowed.
3. Whenever the problem calls for a free-body diagram

ENGG 349 - Dynamics
Assignment #1
Assignments are to be submitted in the drop boxes located on the
third oor of the Mechanical Engineering Building by September 26,
2014 no later than 1200.
Question 1. Zoologists estimate that the average adult cheetah ca

Assignment 2
(Due October 10, noon)
1. The system shown starts from rest, and {Q .
each component moves with a constant
acceleration. If the relative acceleration of
block C with respect to collar B is 120 mml's2
upward and the relative acceleration of bl

Assignment #3
Due by 1200 pm Wednesday, October 22, 2014-10-14
Question I. To unload a bound stack of plywood from a truck, the driver rst tilts the bed of the
truck and then accelerates from rest. Knowing that the coefcients of friction between the
plywo

Assignment 5
Due November 2 l, 2014 at 1200 hrs
Question 1. During a sustained wind the blades on a two blade horizontalaxis wind turbine is
turning with an angular velocity of 5 rad/s. If initially the blades have an angular velocity of 2
rad/s, determin

ENGG 349, Fall 2014, L01-04
Assignment 4
(Due November 7, noon)
1. A 600 g ball A is moving with a velocity of
magnitude 6 m/s when it is hit as shown by a 1 kg
ball B, which has a velocity of magnitude 4 m/s.
Knowing that the coefficient of restitution i

Assignment 6
Due December 05, 2014 at 1200 hrs
Question 1. If the hoop has a weight mg and radius R and is thrown one a rough surface with a
velocity VG parallel to the surface and backspin m. If the coefcient of kinetic friction between
the table and the

COURSE OUTLINE
a; Fall 2014
SCHULICH
School of Engineering
1. Calendar Information
ENGG 349 D namics
Kinematics of a particle. Newton's laws of motion. Conservation of angular momentum.
Work done by friction. Conservation of energy. Conversation of momen

ENGG 349 Mid-Term 2014
Question 1: (25 marks)
Page 3 of 10 ID Number:
Blocks A and B have masses of 40 kg and 30
kg, respectively. They are connected by a
system of massless pulleys and cable as
shown. A horizontal force of 250 N is applied
to block B. Fr

ENGG 349-Tutorial 6
Q1) The two particles of mass m and 2m, respectively are connected by a rigid rod of negligible friction
in a circular path of radius r on the inside of the vertical circular ring. If the unit is released from rest at
=0, determine (a)

ENGG 349-Tutorial 7
Q1) A child throws a ball from pont A with a speed of 50 ft/sec. It strikes the wall at point B and then
return exactly to point A. Determin the necessary angle if the coefficient of restitution in the wall impact
is e=0.5
Q2) The two

ENGG 349 Final (2009) Page 3 of 12
Student ID:
- Question 1:
A 0.2 kg sphere A is suspended from
the ceiling by a massless wire. It is
released from rest at a height h as
shown and it falls, hitting a 0.8 kg toy
bus B precisely when the wire is
vertical.

Student ID Number: _
Problem 1
(25 marks)
Problem 2
(25 marks)
Problem 3
(25 marks)
Problem 4
(15 marks)
Total
(90 marks)
Formulae
1. Law of Cosines:
Law of Sines:
c 2 = a 2 + b 2 2ab cos
b
a
b
c
=
=
sin sin sin
a
c
Solution for Quadratic Equation ax 2

The University of Calgary
Schulich School of Engineering
ENGG 349: Engineering Mechanics II (Fall 2010)
Midterm Examination 1
Thursday, October 14, 18:30-20:30
Students Name: _
_
Family name / nom de famille
Given name / prnom
Please Circle Your Lecture S

The University of Calgary
Schulich School of Engineering
ENGG 349: Engineering Mechanics II (Fall 2010)
Midterm Examination 2
Tuesday, November 16, 18:30-20:30
Instructions:
Use your blue booklet for solutions; the pages here will NOT be marked. You may
u

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Question 1 (25%)
The 0.5mradius drum rotates about a horizontal axis 0 with a constant angular velocity of 6 radfs
counter-clockwise. The small block A of mass 0.2-kg encounters no slipping on the inner wall of the drum
as it passes the bottom position 9

it)
K EY l/z
Question 1 (25%)
A 20 kg box is lifted from the oor over a 0.5 m safety railing, and pushed down a 3 m deep vertical chute
where it falls to the oor below. Its vertical motion is arrested on the oor below by two springs, while
foam on the wal