Animations and demos

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
polar description of motion
joint description of motion
constrained motion
relative motion


 

CHAPTER 2

ROLLING WITHOUT SLIPPING
rolling disk

INSTANT CENTERS
four-bar mechanism
slider-crank mechanism
rolling without slipping

CHASLES' THEOREM


 

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

Coriolis component of acceleration in a MEMS gyro

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

IMPULSE-MOMENTUM EQUATION FOR RIGID BODIES
Conservation of linear momentum for a system of rigid bodies
Angular impulse/momentum and bike jumping


 

CHAPTER 6

Damping in vibrations
Static deformation and EOMs
More on static deformations and vibrations
Influence of damping ratio on free response
Drawing FBDs for deriving vibrations EOMs
Forced response - harmonic excitation
Two-story building response
Three-story building response


 

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