MECH230 Dynamics Notes
MECH230 Dynamics Notes
Preliminaries
1
Active Learning
2
A Note on Units
3
Free Body Diagrams
4
Vector Calculus
5
Fundamental Concepts of Solid Mechanics
6
A Continuum Mechanics Perspective
Particle Dynamics
7
Particle Kinematics
8
Particle Kinetics
9
Cylindrical Polar Coordinate System
10
Constrained Motion
11
The Serret-Frenet Basis
12
Spring Force
13
Friction Force
14
Gravitational Force Model
15
Power, Work, and Energy
16
Momenta and Impulses of Particles
17
Collisions
System of Particles
18
System of Particles
Rigid Body Dynamics
19
Kinematics of Rigid Bodies
20
Kinetics of Rigid Bodies
21
The Work-Energy Theorem for a Rigid Body
22
Systems of Particles and Rigid Bodies
Lagrangian Mechanics
23
Lagrange’s Equations of Motion for a System of Particles
MECH230 Dynamics Notes
Appendices
24
Mathematical Background for Conservative Forces
25
Sets and Linear Function Spaces
References
Lubliner, Jacob, and Panayiotis Papadopoulos. 2017.
Introduction to Solid Mechanics: An Integrated Approach
. Springer.
https://doi.org/10.1007/978-1-4614-6768-7
.
23
Lagrange’s Equations of Motion for a System of Particles
24
Mathematical Background for Conservative Forces