SIE1007 Dynamics of Machines
Dr Eicher Low
65922052
e-: Eicher.Low@SingaporeTech.edu.sg
Introduction
Basic Vector Properties
SIE1007 Dynamics of Machines
Introduction and Basic Vector Properties
Lecture1.2
Introduction
Dynamics: the study of motion of ob
SIE1007 Dynamics of Machines
Dr Eicher Low
65922052
e-: Eicher.Low@SingaporeTech.edu.sg
Kinematics of a Particle (Chapter 13) :
Curvilinear Motion
Normal and Tangential
Components
Particle Motion and Position in 3D Space
General motion of a particle in
SIE1007 Dynamics of Machines
Kinematics of a Particle (Chapter 13) :
Non-Cartesian Coordinate
Systems
Non-Cartesian Coordinate Systems
Choice of coordinate systems affects the problem
formulation
May affect simplicity or complexity of the formulation
Assignment 1
SIE1007 Dynamics of Machines
Due : 5.00 pm, 30 January, 2015
1. A truck travels in a circular path having a radius of 50 m at a speed of 4 m/s is shown in
Figure 1. For a short distance from s = 0, its speed is increased by v 0.05s m/s2, wher
Problem Set 4
SIE1007 Dynamics of Machines
1.
F(t)
a. A spring-mass system is located on a fixed platform as shown. Assume the mass can
slide freely (no friction) on the platform surface. The magnitude of the spring force is
proportional to the displaceme
Problem Sets 3
SIE1007 Dynamics of Machines
1. The mass of A is 30 kg and the mass of B is 5 kg. The force F = 150 N. The mass A slides
on a horizontal surface and the angle is constant. Determine the angle if the coefficient
of kinetic friction between m
Problem Sets 2
SIE1007 Dynamics of Machines
1. At the instant shown, the magnitude of the airplanes velocity is 130 m/s, its tangential
component of acceleration is at = 4 m/s2, and the rate of change of its path angle is d/dt =
5/s.
a. What are the airpl
Applications of Differentiation
(Chapter 3 of T. Smiths Calculus)
Contents
3.1 LINEAR APPROXIMATIONS AND NEWTONS
METHOD
3.2 INDETERMINATE FORMS AND lHPITALS RULE
3.3 MAXIMUM AND MINIMUM VALUES
3.4 INCREASING AND DECREASING FUNCTIONS
3.5 CONCAVITY AND THE
Differentiation
(Chapter 2 of T. Smiths Calculus)
1
Contents
2.1 Tangent Lines and Velocity
2.2 The Derivative
2.3 Computation Of Derivatives: The Power Rule
2.4 The Product And Quotient Rules
2.5 The Chain Rule
2.6 Derivatives Of Trigonometric Functions
Composite Boat Repair: Part One, Damage Assessment
If it seems like this two-part series on boat repair is written for boat owners rather than
manufacturers, its my little effort to help us understand our customer base and the
criteria they use to make ch
Marine Composites Non-Destructive Evaluation
Eric Greene, (M)
An increasing number of marine structures are utilizing composite materials. Major structure and components can be
built lighter and corrosion-resistant using composite construction. The recrea
SIE1007 Dynamics of Machines
Kinetics of a Particle (Chapter 14) :
Newtons Laws
Equations of Motion
Newtons Laws
A particle in isolation moves with constant velocity
In Isolation means no interaction with other particles
F = 0 v = 0 or v = constant