Real life Examples in Dynamics

✍ Scribed by Eann A. Patterson (ed.)

• Year: 2011
• Tongue: English
• Leaves: 56
• Series: Lesson plans and solutions
• Edition: 2nd
• Category: Library

✦ Synopsis

These real life examples and supporting materials are designed to enhance the teaching of
a junior level course in dynamics, increase the accessibility of the principles, and raise the
appeal of the subject to students from diverse backgrounds.
This booklet is intended to be used by instructors and is written in a style that addresses
the instructor, however this is not intended to exclude students who should find the notes
and examples interesting, stimulating and hopefully illuminating, particularly when their
instructor is not utilizing them. In the interest of brevity and clarity of presentation,
standard derivations and definitions are not included since these are readily available in
textbooks which this booklet is not intended to replace but rather to supplement and
enhance. Similarly, it is anticipated that these lessons plans can be used to generate
lectures/lessons that supplement those covering the fundamentals of each topic.
It is assumed that students have acquired a knowledge and understanding of topics
usually found in a Sophomore level course in Statics, including free-body diagrams and
efficiency.

✦ Table of Contents

Introduction 5
KINEMATICS OF PARTICLES
1. Rectilinear and curvilinear motion 6
Paper airplanes, raindrops, sneezing, iPod falling from bike
KINETICS OF PARTICLES
2. Force and acceleration 9
Hockey puck, dustpan and brush, car skidding
3. Work & energy 13
Sling shot, two-slice toaster, medieval longbow
4. Impulse and momentum 17
Tennis balls, kids on water slide
SYSTEMS OF PARTICLES
5. Steady streams of particles 20
Desk fan, hairdryer, wind turbine
KINEMATICS OF RIGID BODIES
6. Kinematic diagrams and angular velocity & acceleration 23
Yoyo, bicycle pedaling
PLANE MOTION OF RIGID BODIES
7. Forces and acceleration 26
Bicycle braking, roly-poly, pizza cutting
8. Work and energy 30
Marbles, yoyo, broken down car
9. Impulse and momentum methods 33
Basketball, skateboard, tennis topspin
THREE DIMENSIONAL RIGID BODY MOTION
10. Kinematics of rigid bodies in three dimensions 37
Violin-playing robot, industrial robot, teeth cleaning
11. Kinetics of rigid bodies in three dimensions 42
Spinning top, bicycle stability, equinox precession
MECHANICAL VIBRATIONS
12. Undamped and damped vibrations 47
Hula hooping, ‘singing’ ruler, whip aerial, earthquake protection bearings