lecture 16

lecture 16 - 1 Lecture 16 2200 and as vectors Rotational...

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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 Time-t Time-t Variable coordinate Position-x 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 ....
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lecture 16 - 1 Lecture 16 2200 and as vectors Rotational...

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