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Unformatted text preview: Rotational motion, Angular displacement, angular velocity, angular acceleration Rotational energy Moment of Inertia Torque Chapter 10:Rotation of a rigid object about a fixed axis Reading assignment: Chapter 10.1 to10.4, 10.5 (know concept of moment of inertia, dont worry about integral calculation), 10.6 to 10.9 Homework: CQ1, CQ8, CQ13, QQ3, QQ4, AE1, AE3, OQ8, 2, 3, 6, 7, 12, 13, 15, 19, 26, 29, 35, 36, 38, 43, 49, 55, 56, 59 Due date: Monday, March 28 Midterm 2 coming up on Wednesday, March 30; (chapter 110) Planar, rigid object rotating about origin O. Rotational motion Look at one point P: = r s Arc length s: Thus: r s = is measured in degrees or radians (SI unit: radian) Full circle has an angle of 2 radians. Thus, one radian is 360/2 = 5 7 .3 Radian degrees 2 360 180 /2 90 1 57.3 Define quantities for circular motion (note analogies to linear motion!!) Angular displacement: Average angular speed: Instantaneous angular speed: Average angular acceleration: Instantaneous angular acceleration: i f  = t t t i f i f = = dt d t t = = lim t t t i f i f = = dt d t t = = lim Angular velocity is a vector Righthand rule for determining the direction of this vector. rotates through the same angle, has the same angular velocity, has the same angular acceleration. Every particle (of a rigid object): , , characterize rotational motion of entire object Linear motion with constant linear acceleration, a. t a v v x xi xf + = 2 2 1 t a t v x x x xi i f + + = ) ( 2 2 2 i f x xi xf x x a v v + = t v v x x xf xi i f ) ( 2 1 + + = Rotational motion with constant rotational acceleration, ....
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This document was uploaded on 02/29/2012.
 Spring '09
 Inertia, Work

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