22 - Angular Momentum

22 - Angular Momentum - Moment of Inertia & Angular...

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Moment of Inertia & Angular Momentum Homework: Chapter 10: Problem 24 Chapter 11: Problems 28 & 36 2 0 2 5 IM r =
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Review: definition of torque ( τ ): Fixed Pivot Point F r θ () sin rF τ θ = α Rotational analog of 2 nd law There are two useful methods of finding torque Force method Lever arm method
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Review: force method () sin rF τ θ = Fixed Pivot Point F r θ F sin perp rF τ=
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Review: lever arm method line of action Fixed Pivot Point F r θ l = r sin θ θ () sin Fr τ θ = Fl τ=
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What is the direction of this torque? α τ G G Fixed Pivot Point F r θ What is the direction of the angular acceleration α caused by this torque? () sin rF θ = So which direction is this torque? τ
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RHR for the direction of torque () sin rF τ θ = τ F r (cross product) τ =r×F “pistol rule”
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What is the direction of this torque? Fixed Pivot Point F r θ τ τ F r Same !
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Wheel of death Serious injury
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Wheel of death Serious injury • Three ways to change the angular acceleration: ¾ The ω - vector gets longer (speed up) ¾ The ω -vector gets shorter (slow down) ¾ The ω -vector changes direction
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22 - Angular Momentum - Moment of Inertia & Angular...

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