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| DYNAMICS 1 | particle: kinematics in 1D | ||||||||
| fundamental quantities | |||||||||
| AU DN1-03 | AU DN1-03 | AU DN1-03 | AU DN1-03 | AU DN1-03 | AU DN1-03 | AU DN1-03 | AU DN1-03 | ||
| WB DN1-01 |
definitions |
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| WB DN1-02 |
Displacement & Distance |
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| WB DN1-03 |
acceleration as a function of time |
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| WB DN1-04 |
acceleration as a function of speed |
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| WB DN1-05 |
acceleration as a function of position |
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| WB DN1-06 |
acceleration is constant |
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| WB DN1-07 |
motion on the x-axis |
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| WB DN1-08 |
Xo, Vo, X ( t ) or V ( t ) |
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| WB DN1-09 |
Xo, Vo, V ( x1 ) |
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| WB DN1-10 |
V ( t1 ) , V ( T2 ) |
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| WB DN1-11 |
coordinate axis |
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| WB DN1-12 |
motion on the y-axis |
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| WB DN1-13 |
v - a - x |
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| WB DN1-14 |
graphical methods |
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relative motion |
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| WB DN1-15 |
motion on the x-axis |
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| WB DN1-16 |
motion on the y-axis |
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| WB DN1-17 | Chapter review | ||||||||
| WB DN1-18 | Chapter Exam | ||||||||
|
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| DYNAMICS 1 | particle: kinematics in 2D - cartesian | ||||||||
| WB DN2-01 | coordinate systems | ||||||||
| General motion | |||||||||
| WB DN2-02 |
definitions |
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parametric description |
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| WB DN2-03 |
time as a parameter |
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| wb dn2-04 |
angle as a parameter |
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| wb dn2-05 |
3 D - given R ( T ) |
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| wb dn2-06 |
3 D - given a ( T ) |
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| wb dn2-07 |
path description |
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| wb dn2-08 |
velocity - Vx |
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| wb dn2-09 |
velocity - Vy |
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| wb dn2-10 |
velocity - V |
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| wb dn2-11 |
acceleration - chain rule |
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| wb dn2-12 |
acceleration - Ax, Ay, A |
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| wb dn2-13 |
implicit differentiation |
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| wb dn2-14 |
angle as a parameter |
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| projectile motion | |||||||||
| WB DN2-20 |
review of kinematics |
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| wb dn2-21 |
constant acceleration in 2D |
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| WB DN2-22 |
max height and max range |
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| WB DN2-23 |
given one point on the path |
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| wb dn2-24 |
initial velocity unknown - initial speed unknown |
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| wb dn2-25 |
initial velocity unknown - initial angle unknown |
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| wb dn2-26 |
initial velocity unknown - initial speed and initial angle unknown |
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| wb dn2-27 |
given two point on the path |
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| wb dn2-28 |
relative motion |
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| wb dn2-29 |
poi: point of intersection - equation of a line |
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| wb dn2-30 |
poi: line and parabola |
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| wb dn2-31 |
poi: two parabolas |
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| wb dn2-32 |
projections |
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| wb dn2-33 |
multiple paths |
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| relative motion - constrained systems | |||||||||
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vertical pulley systems - 1 cord |
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| wb dn2-40 |
constraint equation |
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| wb dn2-41 |
kinematic model |
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| wb dn2-42 |
solve the model |
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| wb dn2-43 |
velocity and acceleration |
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| wb dn2-44 |
constant acceleration |
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| wb dn2-45 |
moving boundary |
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vertical pulley systems - 2 cords |
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| wb dn2-46 |
constraint equation |
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| wb dn2-47 |
kinematic model |
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| wb dn2-48 |
solve the model |
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| wb dn2-49 |
vertical pulley systems - 3 cords |
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| wb dn2-50 |
horizontal pulley systems - 1 cord |
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| wb dn2-51 |
inclined pulley systems |
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Angled pulley systems |
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| wb dn2-52 |
no symmetry |
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| wb dn2-53 |
symmetry |
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| wb dn2-54 |
mechanisms |
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| relative motion - unconstrained systems | |||||||||
| wb dn2-60 |
vectors |
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relative quantities |
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| wb dn2-61 |
velocity |
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| wb dn2-62 |
acceleration |
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absolute quantities |
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| wb dn2-63 |
velocity |
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| wb dn2-64 |
acceleration |
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time |
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| wb dn2-65 |
general acceleration |
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| wb dn2-66 |
constant acceleration |
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| wb dn2-67 |
projectile motion |
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| WB DN2-69 | Chapter review | ||||||||
| WB DN2-70 | Chapter Exam | ||||||||
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| DYNAMICS 1 | particle: kinematics in 2D - normal tangential | ||||||||
| WB DN3-01 | coordinate systems | ||||||||
| WB DN3-02 |
definitions |
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| wb dn3-03 |
paths |
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| wb dn3-04 |
v1 + at + an = v2 |
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| wb dn3-05 |
tangential acceleration is constant |
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| WB DN3-06 |
total acceleration |
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| WB DN3-07 |
v a t |
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| wb dn3-08 |
v a s |
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| wb dn3-09 |
interplay |
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| wb dn3-10 |
tangential acceleration is a function of time |
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| wb dn3-11 |
tangential acceleration is a function of position |
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| wb dn3-12 |
tangential acceleration is a function of speed |
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radius of curvature |
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| WB DN3-13 |
projections |
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| WB DN3-14 |
path equation |
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| wb dn3-15 |
parametric |
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| wb dn3-16 | relative motion | ||||||||
| WB DN3-20 | Chapter review | ||||||||
| WB DN3-21 | Chapter Exam | ||||||||
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| DYNAMICS 1 | particle: kinematics in 2D - polar | ||||||||
| WB DN4-01 | coordinate systems | ||||||||
| wb dn4-02 |
definitions |
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parametric description |
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| wb dn4-03 |
functions |
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| wb dn4-04 |
values |
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| wb dn4-05 |
projections |
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path function description |
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r dot |
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| wb dn4-11 |
chain rule |
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| wb dn4-12 |
path function and chain rule |
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r double dot |
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| wb dn4-13 |
chain rule |
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| wb dn4-14 |
path function and chain rule |
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path function unknown |
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| wb dn4-21 |
velocity |
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| wb dn4-22 |
acceleration |
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| wb dn4-31 | relative motion | ||||||||
| wb dn4-41 | Chapter review | ||||||||
| wb dn4-42 | Chapter Exam | ||||||||
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| DYNAMICS 1 | particle: forces in 1D - cartesian | ||||||||
| Acceleration is constant | |||||||||
| WB DN5-01 |
no friction |
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| WB DN5-02 |
friction |
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| wb dn5-03 | Acceleration is a function of time | ||||||||
| Acceleration is a function of position | |||||||||
| wb dn5-04 |
general |
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| wb dn5-05 |
springs |
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| wb dn5-06 | Acceleration is a function of speed | ||||||||
| wb dn5-07 | Chapter review | ||||||||
| wb dn5-08 | Chapter Exam | ||||||||
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| DYNAMICS 1 | particle: forces in 2D - cartesian | ||||||||
| inclined planes | |||||||||
| WB DN6-01 |
no friction |
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| WB DN6-02 |
friction |
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| WB DN6-03 | curved paths | ||||||||
| wb dn6-04 | springs | ||||||||
| constrained systems - simple | |||||||||
| WB DN6-11 |
horizontal |
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| WB DN6-12 |
inclined plane |
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| wb dn6-13 |
path coordinates |
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| constrained systems - pulleys | |||||||||
| WB DN6-21 |
vertical - 1 cord |
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| wb dn6-22 |
vertical - 2 cord |
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| WB DN6-23 |
horizontal |
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| WB DN6-24 |
horizontal-vertical |
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| WB DN6-25 |
inclined |
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| wb dn6-26 |
angled |
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| wb dn6-27 |
slip |
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| unconstrained systems | |||||||||
| wb dn6-31 |
no friction |
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| wb dn6-32 |
friction |
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| wb dn6-41 | Chapter review | ||||||||
| wb dn6-42 | Chapter Exam | ||||||||
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| DYNAMICS 1 | particle: forces in 2D - normal tangential | ||||||||
| 2D | |||||||||
| WB DN7-01 |
no angle |
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| WB DN7-02 |
angle |
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| WB DN7-03 |
friction |
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| 3D | |||||||||
| WB DN7-11 |
no friction |
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| WB DN7-12 |
friction |
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| wb dn7-21 | springs | ||||||||
| wb dn7-31 | path equation | ||||||||
| wb dn7-41 | integration | ||||||||
| wb dn7-51 | Chapter review | ||||||||
| wb dn7-52 | Chapter Exam | ||||||||
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| DYNAMICS 1 | particle: forces in 2D - polar | ||||||||
| wb dn8-01 | parametric description | ||||||||
| wb dn8-02 |
path function description |
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| wb dn8-03 |
path function unknown |
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| wb dn8-11 | Chapter review | ||||||||
| wb dn8-12 | Chapter Exam | ||||||||
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| DYNAMICS 1 | particle: energy - wet | ||||||||
| work | |||||||||
| WB DN9-01 |
dot product |
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| WB DN9-02 |
constant force |
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| WB DN9-03 |
weight |
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| Constant force and weight | |||||||||
| WB DN9-11 |
horizontal path |
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| WB DN9-12 |
inclined path |
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| wb dn9-13 |
vertical path |
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| wb dn9-14 |
mutiple path segments |
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| F = ma | |||||||||
| wb dn9-15 |
normal-tangential coordinates |
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| WB DN9-16 |
wet and f = ma |
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| springs | |||||||||
| WB DN9-21 |
work |
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| WB DN9-22 |
horizontal path |
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| WB DN9-23 |
quadratic equations |
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| wb dn9-24 |
inclined paths |
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| wb dn9-25 |
vertical path |
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| wb dn9-26 |
normal-tangential coordinates |
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| wb dn9-31 | integration | ||||||||
| constrained systems simple | |||||||||
| wb dn9-41 |
horizontal path |
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| wb dn9-42 |
inclined path |
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| constrained systems pulley | |||||||||
| wb dn9-51 |
vertical path |
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| wb dn9-52 |
horizontal path |
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| WB DN9-53 |
horizontal-vertical path |
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| wb dn9-54 |
inclined path |
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| wb dn9-55 |
springs |
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| wb dn9-61 | unconstrained systems | ||||||||
| wb dn9-71 | power | ||||||||
| WB DN9-81 | Chapter review | ||||||||
| WB DN9-82 | Chapter Exam | ||||||||
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| DYNAMICS 1 | particle: energy - cet | ||||||||
| WB DN10-01 | energy parameters | ||||||||
| wb dn10-02 | gravity | ||||||||
| WB DN10-03 | springs | ||||||||
| F = ma | |||||||||
| WB DN10-04 |
cet and f = ma |
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| wb dn10-05 |
springs |
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| constrained systems - simple | |||||||||
| wb dn10-11 |
horizontal |
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| wb dn10-12 |
inclined |
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| constrained systems - pulleys | |||||||||
| WB DN10-21 |
vertical |
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| wb dn10-22 |
horizontal |
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| wb dn10-23 |
horizontal-vertical |
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| wb dn10-24 |
inclined |
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| wb dn10-25 |
springs |
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| wb dn10-31 | unconstrained systems | ||||||||
| wb dn10-41 | power | ||||||||
| WB DN10-51 | Chapter review | ||||||||
| WB DN10-52 | Chapter Exam | ||||||||
|
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| DYNAMICS 1 | particle: momentum - nonimpulsive | ||||||||
| 1 Body | |||||||||
| WB DN11-01 |
constant force |
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| WB DN11-02 |
variable force |
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| wb dn11-03 |
graphical methods |
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| constrained systems - simple | |||||||||
| wb dn11-11 |
horizontal |
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| wb dn11-12 |
inclined |
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| constrained systems - pulleys | |||||||||
| wb dn11-21 |
vertical |
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| wb dn11-22 |
horizontal |
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| WB DN11-23 |
horizontal-vertical |
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| wb dn11-24 |
inclined |
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| WB DN11-31 | Chapter review | ||||||||
| wb dn11-32 | Chapter Exam | ||||||||
|
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| DYNAMICS 1 | particle: momentum - impulsive | ||||||||
| wb dn12-01 | 1 Body | ||||||||
| WB DN12-02 | systems | ||||||||
| impact | |||||||||
| WB DN12-03 |
direct |
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| WB DN12-04 |
oblique |
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| wb dn12-05 |
constrained |
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| WB DN12-06 | Chapter review | ||||||||
| WB DN12-07 | Chapter Exam | ||||||||
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| DYNAMICS 1 | particle: energy and momentum | ||||||||
| impact and energy | |||||||||
| WB DN13-01 |
direct impact + wet |
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| WB DN13-02 |
direct impact + Cet |
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| wb dn13-03 |
oblique impact + Wet |
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| wb dn13-04 |
oblique impact + Cet |
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| relative motion | |||||||||
| wb dn13-10 |
relative velocity equation |
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| wb dn13-11 |
momentum equation + relative velocity |
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| wb dn13-12 |
momentum + relative velocity + Cet |
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| wb dn13-13 |
momentum + relative velocity + wet |
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| WB DN13-14 | Chapter review | ||||||||
| WB DN13-15 | Chapter Exam | ||||||||
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| DYNAMICS 1 | particle: angular momentum | ||||||||
| angular momentum H | |||||||||
| wb dn14-01 |
H of 1 particle |
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| wb dn14-02 |
H of a system of particles |
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| wb dn14-03 |
circular motion |
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| wb dn14-04 |
3 d |
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| wb dn14-11 | angular impulse J | ||||||||
| wb dn14-21 | the angular momentum principle | ||||||||
| wb dn14-22 |
circular motion |
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| wb dn14-23 |
polar coordinates |
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| conservation of angular momentum | |||||||||
| wb dn14-31 |
the principle |
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| wb dn14-32 |
cet |
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| wb dn14-33 |
impact |
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| wb dn14-34 |
wet |
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| wb dn14-35 |
linear momentum |
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| wb dn14-41 | Chapter review | ||||||||
| wb dn14-42 | Chapter Exam | ||||||||
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| DYNAMICS 1 | particle: vibrations | ||||||||
| wb dn15-01 | axial stiffness | ||||||||
| wb dn15-02 | differential equation | ||||||||
| wb dn15-03 | f = ma: translation | ||||||||
| wb dn15-04 | Chapter review | ||||||||
| wb dn15-05 | Chapter Exam | ||||||||
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| DYNAMICS 1 | module final exam | ||||||||
|
WB DN16-00 |
Module Review |
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| WB DN16-01 |
Particle: kinematics in 1D |
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| WB DN16-02 |
Particle: kinematics in 2D - cartesian |
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| coming soon | coming soon | coming soon | coming soon | coming soon | coming soon | coming soon | |||
| WB DN16-03 |
Particle: kinematics in 2D - normal tangential |
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| coming soon | coming soon | coming soon | coming soon | coming soon | coming soon | coming soon | |||
| WB DN16-04 |
Particle: kinematics in 2D - polar |
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| coming soon | |||||||||