phy2048 lecture22

phy2048 lecture22 - Chapter 11: Rolling, Torque, and...

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Unformatted text preview: Chapter 11: Rolling, Torque, and Angular Momentum 111 What Is Physics? 112 Rolling as Translation and Rotation Combined 113 The Kinetic Energy of Rolling 114 The Forces of Rolling 115 The YoYo 116 Torque Revisited 117 Angular Momentum 118 Newton's Second Law in Angular Form 119 The Angular Momentum of a System of Particles 1110 The Angular Momentum of a Rigid Body Rotating ... 1111 Conservation of Angular Momentum 1112 Precession of a Gyroscope Chapter 11 Homework 2, 4, 5, 7, 11, 17, 23, 27, 31, 34, 36, 41, 43, 45, 52, 58 The Force of Rolling s = R vcom = R acom = R f s - Mg sin = Macom f s R = I com T - Mg = Macom TR0 = I com = - acom R acom = - g sin 1 + I com MR 2 = - acom R0 acom = - g 2 1 + I com MR0 Examples Example Which object reaches the bottom first / last? acom = g sin 1 + I com MR 2 Sample Problem 11-2. A uniform ball of mass = 6.00 kg rolls smoothly from rest down a ramp (h = 1.20 m, = 30.0). Find its speed at the the bottom? (4.10 m/s) Find the friction force on the ball as it rolls down the ramp? (8.40 N) Torque and Angular Momentum Torque Linear Motion Force F = r F = rF sin = rF = r F Angular Momentum = r p = r mv = rmv sin = rmv = r mv Linear Momentum p = mv Examples Homework Problem 23. Find torque, and the angle b/t F and r. ^ + (4.0 m)^ , F = (-8.0 N)^ + (6.0 N)^ r = (3.0 m)i j i j ...
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phy2048 lecture22 - Chapter 11: Rolling, Torque, and...

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