dynamics kinematics of particles problems and solutions and dynamics kinematics problems and solutions
Dr.SamuelHunt,United Arab Emirates,Teacher
ME 230 Kinematics
Department of Mechanical Engineering
University of Washington Instructor:
Office: MEB 113 or 260
Office hours: M,W, F 1:30-2:30PM
David Schipf schipfuw.edu
Jinyuan Zhang jinyuanuw.edu
Paul Murphy pgmurphyuw.edu
Kebin Gu kebinu.washington.edu (grader)
Textbook: R. C. Hibbeler, Engineering Mechanics: Dynamics, 13th Ed.
Course Website: http://courses.washington.edu/engr100/me230
W. WangGeneral Policy
Homework: Homework will be assigned in class on Wed.
Homework for each week is due the following Wednesday (During
Class). The homework has usually 10-12 problems per week. Late
homework will not be accepted (partial credit will not be given).
Homework solution will be available every Wednesday on the web.
Please write down your section number on your homework.
Grading of Homework: Only one or two questions (chosen by the
instructor) from the homework (assigned for each week) will be
graded – the resulting grade will constitute the grade for that week’s
homework. Therefore, answer all the questions correctly to get full
credit for the homework.
Exams: Exams will be open book and open notes. There will be no
alternate exams if you miss any. Exams will include materials
covered in the text, class, and homework.
Homework be assigned on a weekly basis
Homework should be hand-written
TA will go over the problems with you during
Lab Section and answer any questions you have
on your homework.
Solutions to all problems solved in class will be
posted on Thursday each week:
1st Midterm 25%
2nd Midterm 25%
Final Project 30%
GPA Formula: GPA = (Score-50)/40(4.0-2.0)+2.0 (94=4.0 and 50=2.0.)
W. WangPlease make sure…
• You review some maths (i.e. trigonometric identities,
derivatives and integrals, vector algebra, )
• … and some STATICS…
UNITS, Vector addition, free body diagram (FDB)
(Hibbeler Statics: Ch. 1,2 and 5)
W. WangExamples (1)
W. WangExamples (2)
W. WangExamples (3)
W. WangWhat is Dynamics?
Galileo Galilei, Newton, Euler, Lagrange
(The study of how bodies react to forces acting on them)
Study of equilibrium of a
Study of accelerated motion
body that is at rest/moves
of a body
with constant velocity
• Kinematics: geometric aspects of the motion
• Kinetics: Analysis of forces which cause the motion
W. WangAn Overview of Mechanics
Mechanics: The study of how bodies
react to forces acting on them.
Statics: The study of
Dynamics: The study of force
bodies in equilibrium or
and torque and their effect on a
in constant speed.
accelerated moving body
1. Kinematics – concerned with the
geometric aspects of motion
2. Kinetics - concerned with the forces
causing the motion
Statics – effects of forces on bodies at rest
Theoretically, kinematics and kinetics constitute
Kinematics – study of motion of bodies without
reference to forces which cause the motion
Kinetics – relates action of forces on bodies to their
Kinematics and kinetics almost occur together all the
time in practice.
From Wikipedia, the free encyclopedia:
Dynamics is a branch of physics (specifically
classical mechanics) concerned with the study of
forces and torques and their effect on motion, as
opposed to kinematics, which studies the motion of
objects without reference to its causes. Isaac
Newton defined the fundamental physical laws
which govern dynamics in physics, especially his
second law of motion. Also why this class is called
kinematics and dynamics.
W. WangWhy is dynamics important?
Understanding dynamics is key to predicting
performance, designing systems, etc.
The ability to control a system (say, a car)
depends upon understanding the dynamics
It is fundamental to advanced topics, such as
fluid mechanics, structural dynamics, or
W. WangApplications of Dynamics
Modern machines and structures operated with
high speed (acceleration)
Analysis & design of
Fixed structure subject to shock load
Automatic control system
Rocket, missiles, spacecraft
Ground & air transportation vehicles
Human movement (Biomechanics)
W. WangExample: The Coriolis Force
Kinematics: coordinate reference frames matter, as in this merry-go-
W. WangExample: Car Crush Test
Kinetics: Impact , impulse and moment. Crash Test of a New Mercedes SLS AMG 2010
W. WangExample: Three Phase
Diamagnetic Levitation Motor
Studying of rotational motion of a motor, kinetics: magnetic forces, Kinematics: rotation
speed and angles
W. WangExample: Self-Assemble Robots
Studying of kinematics and kinetics of a moving robot
Kinetics: forces on latches, kinematics: position tracking
W. WangTopics to be covered
Chapter 12:Introduction & Kinematics of a particle
Chapter 13: Kinetics of a particle: Force and Acceleration
Chapter 14: Kinetics of a particle: Work and Energy
Chapter 15: Kinetics of a particle: Impulse and
Chapter 16: Planar kinematics of a Rigid Body
Chapter 17: Planar kinetics of a Rigid Body: Force and