Rotational Energy and Momentum Rotational contribution to Energy
Rotational Energy and Momentum • Rotational contribution to Energy • Examples – Rolling down incline – Atwood’s Machine again • • Rotational Energy vs. Angular Momentum Conservation of Angular Momentum Examples – Colliding disks – One object changing Rotational Inertia – Colliding point objects and disks
Rotational energy contribution • r 1 r 2 m 1
Example - Rotational energy contribution •
Procession of Objects • For objects rolling down incline plane Higher moments of inertia • (reminds me of)
Review - Atwood’s Machine with Pulley •
Atwood’s Machine with Pulley (Energy) •
Rotational Energy and Angular Momentum •
Angular momentum •
“Type 1” - Two identical disks •
“Type 1” – Disk and rod •
“Type 2” – Person on Platform •
“Type 2” – Figure Skater •
Demonstration - Person on a stool • Victim Person on stool with 2 2 -kg weights
“Type 2” – Person on Stool •
“Type 2” – Example 8 -15 •
“Type 2” – Walking on Merry-Go Round •
“Type 3” – Linear collision with Disk •
“Type 3” – Collision with Asteroid •
Collision with Asteroid (cont) • Asteroid =100 tonne
Angular Momentum - Vector • • • Bicycle Wheel Stability of Bicycle Gyroscope Crossing stream on narrow log Polanowski’s story
Summary - Translation vs. Rotation •
Translation vs. Rotation (cont) •
- Slides: 22