PH2014_Ch13_Rotation part B

PH2014_Ch13_Rotation part B - 1 Chapter 13: Rotational...

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Unformatted text preview: 1 Chapter 13: Rotational Motion B T h e g r e a t d o w n h i l l r a c e W h o i s t h e w i n n e r ? What is the rotational analog of Newtons Law? 2 Review of Rotational Motion Translational Motion Rotational Motion Position Angular position Velocity Angular velocity Acceleration Angular acceleration x dt dx v = 2 2 dt x d dt dv a = = 2 2 dt d dt d = = dt d = at v v + = 2 2 1 at t v x x + + = ) ( 2 2 2 x x a v v + = t + = 2 2 1 t t + + = ) ( 2 2 2 + = For constant a: For constant : 3 Torque and Balance Perfect balance Unbalanced seesaw m Torque: F r r r r = Unbalanced seesaw 2m New balance m m 2 = 4 Rotational Analog of Newtons Law A force is applied to a ball of mass M mounted to a massless rod with a fixed end, causing rotational motion. F r F r r r r = Torque: rF = Acceleration: r a = ) ( 2 m R ma R F R = = = Equation for rotational motion: = I Rotational Inertia: 2 mR I = Newtons Law: ma F = F r R F r R F r R m 5...
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PH2014_Ch13_Rotation part B - 1 Chapter 13: Rotational...

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