MECH 315: Mechanics 3
Assignment 1
Assignments are not graded. Please attempt to solve each and every problem before looking at the
solutions. Some of these problems will be discussed during the Tutor
MECH 315: Mechanics 3
Solutions 1 (Solutions to selected problems from Assignment 1)
(1)
Graphical Analysis of Simple Harmonic Motion
Approach:
The displacement and amplitude can be read directly from
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April 2015
Final Exam
MECH 309: Numerical Methods
April 29, 2015 6:00pm - 9:00pm
Examiner: Mathias Legrand
Student Name:
Associate Examiner: Jzsef Kvecses
McGill ID:
Instructions:
This is an open-not
MECH309 Midterm Exam March 15, 2013 8:35am-9:25am
Closed note, closed book exam. No calculator allowed.
Read over all questions carefully. Manage your time wisely. Answer all questions directly on thi
April 2016
Final Exam
MECH 309: Numerical Methods
April 18, 2016 6:00pm - 9:00pm
Examiner: Mathias Legrand
Student Name:
Associate Examiner: Rosaire Mongrain
McGill ID:
Instructions:
This is an open-
MECH309 Midterm Exam February 26, 2015 8:35am-9:55am
Closed note, closed book exam. No calculator allowed.
Read over all questions carefully. Manage your time wisely. Answer all questions directly on
April 2012
Final Exam
MECH 309: Numerical Methods
April 27, 2012 9:00am - 12:00pm
Examiner: Mathias Legrand
Student Name:
Associate Examiner: Jzsef Kvecses
McGill ID:
Instructions:
This is an open-no
MECH309 Midterm Exam February 25, 2016 11:35am-12:55pm
Student Name:
McGill ID:
Closed-note, closed-book exam. No calculator allowed.
Read over all questions carefully. Manage your time wisely. Answer
MECH 315: Mechanics 3
Assignment 5 (Impulse Response and Convolution; Section 4.5)
Standard Integrals:
e ax sin bx dx =
eax (a sin bx b cos bx)
a 2 + b2
ax
dx
x e=
eax
1
x
a
a
1. Consider a linear
MECH 315: Mechanics 3
Answers to Selected Problems from Assignment 6
Problem 3. 35
(a) We can use Newtonian mechanics or Lagrangian mechanics to derive the equation of motion
as: m
x + ( c1 + c2 ) x
MECH 315: Mechanics 3
Solutions 9
1. The approach to solving this problem consists of the following steps.
Step 1: Define the system of coordinates. Let x be the coordinate along the axis of the beam,
MECH 315: Mechanics 3
Solutions 5 (answers to selected problems from Assignment 5)
1. Approach: For a critically-damped system, we know that: c = 2 mk . There are only two
unknowns in this problem. So
MECH 315: Mechanics 3
Assignment 2
Assignments are not graded. Please attempt to solve each and every problem before looking at the
solutions. Some of these problems will be discussed during the Tutor
MECH 315: Mechanics 3
Solutions 2 (Solutions to selected problems from Assignment 2)
Solutions to Problem 1 and Problem 5 will be discussed during the Tutorials on
Friday, 21 January.
Problem 3. Sprin
MECH 315: Mechanics 3
Solutions 4 (Solutions to selected problems from Assignment 4)
Question 1. Free response of an overdamped system with a single degree-of-freedom
x(t ) A1 e s1t + A2 e s2t , with
MECH 315: Mechanics 3
Assignment 4 (Free Response of Single DOF Systems)
Question 1. Free Response of Single DOF Systems
Consider the system shown in the figure. The spring is underformed when
x(t ) =
MECH 315: Mechanics 3
Assignment 3 (This set contains 8 Problems)
Problem 1. The figure below shows a single degree-of-freedom model for a motor that contains
two unbalanced rotating masses, m1 and m2
MECH 315: Mechanics 3
Solutions 3 (Solutions to selected problems from Assignment 3)
Problem 1. This solution illustrates the use of Newtons second law to derive the equations of
motion. The approach
MECH 315: Mechanics 3
Assignment 6 (Harmonic Response of Systems with a Single Degree-of-Freedom)
References: Sections 3.1, 3.2, 3.4 (except 3.4.1), 3.5, 3.6, 3.7 from the textbook. A brief note on
ha
MECH309 Midterm Exam February 17, 2012 8:35am-9:25am
Closed book exam. No calculator allowed.
Read over all questions carefully. Manage your time wisely. Answer all questions in the exam booklet.
Quiz
MECH309 Midterm Exam February 26, 2015 8:35am-9:55am
Closed note, closed book exam. No calculator allowed.
Read over all questions carefully. Manage your time wisely. Answer all questions directly on
MECH 309 - Tutorial 4
Section 6.1
Section 6.1 => 3 (do by hand); 7, 12 (use Matlab or Maple); 16a
Section 6.2 => 9a and b (do by hand); solve based on the material covered in Section 6.1
Questions fro