MMB222 Dynamics
Kinematics of particle:
Position, displacement, velocity, acceleration
One dimensional motion
Graphical methods
Relative motion
Prof. Jacek Uziak
Kinematics deals with the concepts needed to
describe motion
Displacement or position: Dimens
MMB222 Dynamics
Kinetics of particle:
System of Particles/Work & Energy
System of Particles
Equation of Motion
Centre of Mass
Work
Kinetic & Potential Energy
Power
Prof. Jacek Uziak
Equation of motion of a particle of mass m
when subjected to the action o
MMB222 Dynamics
Kinematics of particle:
Motion in two dimensions
Curvilinear motion
Path coordinates
Polar coordinates
Prof. Jacek Uziak
Kinematics in two dimensions
Kinematics in two dimensions is the description
of motion in a plane, i.e. the same conce
MMB222 Dynamics
Kinematics of rigid body:
types of motion
Concept of a rigid body
Types of motion in a plane
Translation
Rotation
General Plane Motion
Prof. Jacek Uziak
Rigid Body
It is an idealized model of an
object that does not deform
or change shape.
MMB222
Kinetics of Particle
(Equation of Motion)
Forces and Newtons Laws of Motion
Gravitational Force
Friction
Free Body Diagram
DAlembert Principle
Force and Mass
What is a force?
a push or pull
force is the way we describe how particles
interact with o
Solving projectile motion problems
Deepak Chandan
University of Toronto
May 17, 2010
Solving projectile motion problems can seem like a daunting task, however it is much easier than it appears
and by following a few simple steps one can reduce the likelih
SECONDARY SCHOOL ANNUAL EXAMINATIONS 2009
DIRECTORATE FOR QUALITY AND STANDARDS IN EDUCATION
Educational Assessment Unit
_
FORM 2
ENGLISH
LISTENING COMPREHENSION
_
Teachers Paper
Instructions for the conduct of the Listening Comprehension Examination
The
MOTION OF A PROJECTILE
Todays Objectives:
Students will be able to:
1. Analyze the free-flight
motion of a projectile.
In-Class Activities:
Check Homework
Reading Quiz
Applications
Kinematic Equations for
Projectile Motion
Concept Quiz
Group Problem
2.1
Chapter 2
Operations performance
2.1
Slack, Chambers and Johnston, Operations Management, 6th Edition,
Nigel Slack, Stuart Chambers, and Robert Johnston 2010
2.2
Slack et al.s model of operations management
Operations
performance
Operations
strategy
MMB222 Dynamics
Kinetics of particle:
Impulse & Momentum
Impulse
Momentum
Collision
Angular Impulse & Momentum
Prof. Jacek Uziak
Impulse
Average impulse of a force is the average force
multiplied by the time interval during which the
force acts:
IMP avg
r
Particle Kinematics: Two Dimensional Motion
(Rectangular, Path & Polar Coordinates)
1.
2.
3.
The nozzle of a garden hose is held at a height 1.4 m above the ground. The water jest is discharged
with a velocity of 7.5 m/s. What is the radius reached by the
Example 1: Particle Kinetics - Curvilinear Motion ("r-")
Example 2: Particle Kinetics - Curvilinear Motion ("r-")
A particle starts at A with an initial velocity of vo,
and moves down the smooth circular ramp up to
point B when it separates. Obtain the eq
MMB222 DYNAMICS
MMB222 - DYNAMICS
Introduction
Prof. Jacek Uziak
1
What is Dynamics?
Two parts:
Kinematics
Motion
Curves, shapes + time
shapes time
Kinetics
Motion and causes of motion (forces)
and causes of motion (forces)
Types of problems:
Describe
MMB222 Dynamics
Kinematics of rigid body:
types of motion
Velocity diagrams
Instantaneous Centre of Rotation
Prof. Jacek Uziak
vA
vA
vB
A
A
y
vA
(fixed)
A
x
rB/A
vB/A
B
Plane motion
B
B
= Translation with A + Rotation about A
The general plane motion of a
Particle Kinematics:
One Dimensional Motion, Graphical Methods & Relative Motion
1.
2.
3.
4.
A point P moves along a straight line such that its acceleration is given by a = 5s2 + 2s + 1 m/s2,
where s is the distance moved in meters. When s = 0 its speed