Lecture17Notes

Lecture17Notes - Physics 121, March 25, 2008. Rotational...

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1 Frank L. H. Wolfs Department of Physics and Astronomy, University of Rochester Physics 121, March 25, 2008. Rotational Motion and Angular Momentum. Frank L. H. Wolfs Department of Physics and Astronomy, University of Rochester Physics 121. March 25, 2008. Course Information Topics to be discussed today: Review of Rotational Motion Rolling Motion Angular Momentum Conservation of Angular Momentum Frank L. H. Wolfs Department of Physics and Astronomy, University of Rochester Physics 121. March 25, 2008. Homework set # 7 is now available and is due on Saturday April 5 at 8.30 am. There will be no workshops and ofFce hours for the rest of the week. We will be busy grading exam # 2. The grades for exam # 2 will be distributed via email on Monday March 31. You should pick up your exam in workshop next week. Please check it carefully for any errors.
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2 Frank L. H. Wolfs Department of Physics and Astronomy, University of Rochester Rotational variables. A quick review. The variables that are used to describe rotational motion are: Angular position θ Angular velocity ω = d /dt Angular acceleration α = d /dt The rotational variables are related to the linear variables: Linear position l = R Linear velocity v = R Linear acceleration a = R Frank L. H. Wolfs Department of Physics and Astronomy, University of Rochester Rotational Kinetic Energy. A quick review. Since the components of a rotating object have a non-zero (linear) velocity we can associate a kinetic energy with the rotational motion: The kinetic energy is proportional to square of the rotational velocity ω . Note: the equation is similar to the translational kinetic energy (1/2 mv 2 ) except that instead of being proportional to the the mass m of the object, the rotational kinetic energy is proportional to the moment of inertia I of the object: Note: units of I : kg m 2 K = 1 2 m i v i 2 i ! = 1 2 m i " r i ( ) 2 i ! = 1 2 m i r i 2 i ! # $ % ( 2 = 1 2 I 2 I = m i r i 2 i ! or I = r 2 dm " Frank L. H. Wolfs Department of Physics and Astronomy, University of Rochester Torque. In general the torque associated with
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This note was uploaded on 10/20/2010 for the course PHY PHY 121 taught by Professor Wolfs during the Spring '08 term at Rochester.

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Lecture17Notes - Physics 121, March 25, 2008. Rotational...

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