Lect12-ch8_2

Lect12-ch8_2 - L12Ch7Ch8 Spring 2004 PHY 2053C: College...

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1 Spring 2004 PHY 2053C: College Physics A Today: Rotational Motion Kinematics 2: Rotational motion & kinematics Dynamics 2: Torques Moment of Inertia Angular Momentum -- conservation Mot i on , For c e s, Energy Heat Wave s Dr. David M. Lind Dr. Kun Yang Dr. David Van Winkle L12—Ch7Ch8 PHY 2053C: College Physics A Spring 2004 Dr. David M. Lind Dr. Kun Yang Dr. David Van Winkle L12—Ch7Ch8 Today: Rotational Motion Kinematics 2: Rotational motion & kinematics Dynamics 2: Torques Moment of Inertia Angular Momentum -- conservation
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2 Extended Bodies & Rotation Translational motion: Objects move as if all of the extended object's mass was concentrated in the center-of-mass . Extended objects can do one thing which point masses can't: they Rotate while they translate! m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m = M Center of mass x CM m 1 x 1 m 2 x 2 ... m N x N m 1 m 2 m N y m 1 y 1 m 2 y 2 m N y N m 1 m 2 m N Linear and Angular Kinematics (summary) Displacement: x [m] angle ? [rad] Velocity: v [m/s] angular vel. ? [rad/s] acceleration a [m/s 2 ] angular acc. a [rad/s 2 ] How do the angular kinematics translate to “linear” kinematics ? S i tt ng on a merry-go-round , what s your tangent a l speed ? v tan =r ? your tangent cc e erat on a tan =r a your rad (cen t r pe ) acce era a rad =v 2 /r = r ? 2
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3 Question 1 A ladybug sits at the outer edge of a merry-go- round, and a gentleman bug sits halfway between her and the axis of rotation. The merry-go-round makes a complete revolution once each second. The gentleman bug's angular velocity is 1. half the ladybug's. 2. the same as the ladybug's. 3. twice the ladybug's. 4. impossible to determine Angular Kinematic Equations Along with the angular coordinate ? , velocity ? and acceleration a come the kinematic equations : v = v 0 + at (const a ) ? = ? 0 + a t (const a ) x = x 0 + v 0 t+ ½ a t 2 ? = ? 0 + ? 0 t + ½ a t 2 v 2 = v 0 2 + 2ax ? 2 = ? 0 2 +2 a?
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This note was uploaded on 10/11/2011 for the course PHY 2053 taught by Professor Lind during the Fall '09 term at FSU.

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Lect12-ch8_2 - L12Ch7Ch8 Spring 2004 PHY 2053C: College...

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