# lec14 - L ECTURE 14 A NGULAR M OMENTUM • Rotational...

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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...
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lec14 - L ECTURE 14 A NGULAR M OMENTUM • Rotational...

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