This preview shows pages 1–6. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: 1 Lecture 16 2200 and as vectors Rotational kinetic energy Moment of inertia Parallel axis theorem It will be a good idea to review lecture 9. 2 Linear and angular motion Independent variable Timet Timet Variable coordinate Positionx Angle First derivative Velocity Angular velocity Second derivative Acceleration Angular acceleration Constant acceleration formulas Where Where dt dx v = dt d = 2 2 dt x d a = 2 2 dt d = x a v v at t v x x at v v + = + + = + = 2 2 1 2 2 2 + = + + = + = 2 2 1 2 2 2 t t t ( 29 ( 29 = = = = t v v t x x ( 29 ( 29 = = = = t t 3 What is the direction of ? Use a right hand rule: curl the fingers of your right hand in the direction of rotation and your thumb will point in the direction of . Your thumb defines the rotation axis. z ( 29 z + = 4 The period of the rotation is the time it takes to complete one cycle. T t 2 ave = = For 1 cycle. T is the period. 2 = T 5 Kinetic energy of rotation In a discrete or continuous distribution of mass each mass point has K=mv 2 . So = = + + + = n i i i n n v m v m v m v m K 1 2 2 2 2 2 2 1 1 rot 2 1 2 1 2 1 2 1 For a rotating rigid body v i = r i where r i is the distance from the rotation axis to the mass m i ....
View Full
Document
 Spring '11
 Staff
 Energy, Inertia, Kinetic Energy

Click to edit the document details