This preview shows pages 1–3. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.View Full Document
Unformatted text preview: Ch 10: Rotation of Rigid Object about a Fixed Axis Focus: Angular Kinematics and Torque Angular Kinematics: x y R Arc-length: R s = s R dt Rd dt ds v t = = = Tangential speed: R dt Rd dt dv a t t = = = Tangential acceleration: dt d = R v t = or Angular velocity dt d = R a t = or Angular acceleration Note the signs of , here! Choose sign consistent with a,v t . R a = R v t = R Example: Rolling Memorize! Ch 10: Rotation of Rigid Object about a Fixed Axis Focus: Kinetic Energy and Moment of Inertia of a Rigid Body Key idea: Rigid body has same angular velocity at all points Circular motion as seen from above. Tangential speed: i i t r v = 2 2 2 1 2 2 1 = = i i i t i r m v m K Total Kinetic Energy: = 2 i i r m I Moment of Inertia about O Define: z m i i r Perpendicular distance of i th particle to axis of rotation 2 2 1 I K = Rotational Kinetic Energy: Memorize!...
View Full Document