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phy2048 lecture23

phy2048 lecture23 - Chapter 11 Rolling Torque and Angular...

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11-1 What Is Physics?  11-2 Rolling as Translation and Rotation Combined 11-3 The Kinetic Energy of Rolling 11-4 The Forces of Rolling 11-5 The Yo-Yo 11-6 Torque Revisited 11-7 Angular Momentum 11-8 Newton’s Second Law in Angular Form 11-9 The Angular Momentum of a System of Particles 11-10 The Angular Momentum of a Rigid Body Rotating … 11-11 Conservation of Angular Momentum 11-12 Precession of a Gyroscope  Chapter 11: Rolling, Torque, and Angular Momentum Chapter 11 Homework 2, 4, 5, 7, 11, 17, 23, 27, 31, 34, 36, 41, 43, 45, 52, 58
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Examples Sample Problem 11-4 . Find the net angular momentum about O. Homework Problem 23 . Find torque, and the angle b/t F and r . j ˆ N) (6.0 i ˆ N) 8.0 ( , j ˆ m) (4.0 i ˆ m) (3.0 + - = + = F r 5.0 kg · m/s 2.0 kg · m/s 2.0 m 4.0 m p r = p r × =
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Linear Motion Newton’s 2 nd Law dt d net = τ dt L d sys ext net, = τ dt p d F = net dt P d F sys ext net, = = i L sys = i p P sys com sys v M P = ϖ I L z = Rigid body, fixed axis ( z ) I L I K 2 2 2 2 1 = = ϖ m p mv K 2 2 2 2 1 = =
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Examples Sample Problem 11-6
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