This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: L ECTURE 14: A NGULAR M OMENTUM • Rotational dynamics (review) • Conservation of angular momentum – Altering total I – Altering which parts rotate – Turning without any initial L • Rotational energy – Kinetic energy – Work 1) The formula for angular momentum is a) m v b) ½ I ω 2 c) I ω d) τ ∆ t a) None of these Translational/Rotational Analogs Translational Rotational Mass m Rotational inertia I Position x , y , ... Angle θ , ... Velocity v Angular velocity ω Acceleration a Angular acceleration α Force F Torque τ Momentum p = mv Angular momentum L = I ω Kinetic energy 1 2 mv 2 Kinetic energy 1 2 I ω 2 Work Fx Work τθ Recall cannon demonstration: Linear momentum is conserved in an isolated system Halliday & Resnick. Conservation of Momentum in Riflery Hewitt. Angular momentum is conserved in isolated systems Hewitt Diving example: There are no external torques once the diver leaves the board so L is conserved Hay L is conserved during the jump: must adjust I to alter ω Hay. Bicycle wheel demonstration: changing which part rotates Benson. Changing which part rotates: diving example Hay. Changing which part rotates: ski jump example Dyson. Tour en l’air example: Large torque on takeoff plus upper/lower body adjustments Dyson. Demonstration: Turning with no initial angular momentum Dyson. Demonstration: Turning with no initial angular momentum Hay. Extreme example of turning without initial L Dyson Turning requires flexibility Dyson. Rotational motion has kinetic energy...
View
Full
Document
This note was uploaded on 12/12/2011 for the course PHYS 17 taught by Professor Mcwilliams,r during the Fall '08 term at UC Irvine.
 Fall '08
 Mcwilliams,R
 Physics, Angular Momentum, Energy, Kinetic Energy, Momentum, Work

Click to edit the document details