Provided below are links to animations that will be used in lecture during the course of the semester. Please feel free to review and study these animations and discussions at any time during the semester.
CHAPTER 1
PARTICLE KINEMATICS
path description of motion
motion on a curvy path
polar description of motion
joint description of motion
Cartesian vending machine
constrained motion
relative motion
CHAPTER 2
MECHANISMS
zero angular velocity vs. zero angular acceleration
ROLLING WITHOUT SLIPPING
rolling disk
INSTANT CENTERS
four-bar mechanism
slider-crank mechanism
rolling without slipping
CHAPTER 3
2D MOVING REFERENCE FRAME PROBLEMS
MRFs: views from different reference frames
Merry-go-round : physical demonstration
Merry-go-round: animation of motionĀ
MRFs - Aircraft problem
3D MOVING REFERENCE FRAME PROBLEMS
Angular acceleration in a gyroscope
CHAPTER 4
NEWTON's LAWS
Influence of speed on cable tensions
Contact force from rotating disk
Weightlessness on the "Vomit Comet"
ENERGY CONSERVATION
Block sliding on an incline
You can't push on a string
LINEAR MOMENTUM CONSERVATION
Impact of particles
IMPACT PROBLEMS
Impact drop tests
Pool ball dynamics
Impacts and energy
ANGULAR MOMENTUM EXAMPLES
Particle on an elastic band
Two particle system
Orbital motion
CHAPTER 5
BRAKING DYNAMICS
Friction dynamics
CENTER OF PERCUSSION
Center of percussion
DYNAMIC REACTION FORCES
Reactions due to out-of-balance forces
Two-force members in mechanisms
WORK-ENERGY EQUATION FOR RIGID BODIES
Kinetic energy and joints
Friction and work
IMPULSE-MOMENTUM EQUATION FOR RIGID BODIES
Conservation of linear momentum for a system of rigid bodies
Angular impulse/momentum and bike jumping
CHAPTER 6
GENERAL
Vibrations. Vibrations. And, more vibrations
EOMs
Static deformation and EOMs
More on static deformations and vibrations
Drawing FBDs for deriving vibrations EOMs
DAMPING
Influence of damping ratio on free response
FORCED RESPONSE
Forced response - harmonic excitation
Two-story building response
Three-story building response