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# Momentum and Impulse

This presentation introduces the concept of momentum in both a linear and angular form.
by

## Samuel J Cohen

on 2 January 2017

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#### Transcript of Momentum and Impulse

Momentum
"Inertia of Motion"
Momentum
Angular Momentum
Linear Momentum
Can I stop a tractor trailer??
Angular Momentum
DEMO!!!
Merry Go Round!!
How do we change a
body's momentum?
Sureeee....
it may just take a little longer
What might be the formula for angular momentum?
Why will the platform eventually stop spinning?
Before
The product of a body's mass
and its velocity

"Inertia of Motion"
p = mv
p = mv
p =m v
Change in velocity is acceleration... Therefore,
We need a net FORCE to change velocity!!
* Most of the time...
Impulse = F t
Units?
Units?
WAIT... This looks familiar...
= F t ???
m v
Rifle Demo
Track Demo
Imagine an Accident:
Conservation of Momentum
The total momentum of a system remains the same before and after a collision as long as no external* forces act on the system
mv + mv = mv + mv
p Before =
p After
1
1
2
1
1
2
2
2
Collisions and Explosions
Before we go back...
Which experienced greater Force?
Impulse??

Demo
m
m
v
m
m
v
m
m
v
m
m
I

II

III
v
m
m
m
2v/3
m
Elastic Collision
colliding objects rebound without losing kinetic energy (energy of motion) or permanent deformation
INELASTIC Collision
colliding objects stick together, lose kinetic energy, and are often permanently deformed
2
v/2
v/2
2v/3
2v/3
L = Iw
Conservation is what makes momentum calculation useful
Law of conservation of Angular Momentum
Total L of a system remains constant as long as no external torque acts on the system
L = L'
1. The Ice Skater
2. Platform & Helicopter
3. CATS (not the musical)
4. Frisbee/Football
5. Like riding a bike
After
6 m
3 m
M = 200 kg
m = 100 kg
* Assume uniform disk
* Assume frictionless MGR
* Not to scale ever ever ever...

STOP HERE!!!!

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