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PHY183-Lecture33

# PHY183-Lecture33 - Physics for Scientists&Engineers 1 1...

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Unformatted text preview: March 19, 2006 Physics for Scientists&Engineers 1 1 Physics for Scientists & Physics for Scientists & Engineers 1 Engineers 1 Spring Semester 2006 Lecture 33 Hurricane Frances, 9/5/2004 March 19, 2006 Physics for Scientists&Engineers 1 2 Quiz 33.1 Quiz 33.1 ! A mass of .1 kg is twirled by a thread in a vertical circle of radius .5 m. The thread will break if the tension is greater than 2 N. ! At what part of the circle is the thread most likely to break? A) At the top B) At the bottom C) Any place on the circle is equally likely. March 19, 2006 Physics for Scientists&Engineers 1 3 Quiz 33.1 details Quiz 33.1 details ! Find maximum speed that mass can move without thread breaking. • At top: • At bottom: T mg T mg T + mg = mv 2 r T " mg = mv 2 r " v = r m T + mg ( ) ; v max = 3.9 m/s " v = r m T # mg ( ) ; v max = 2.3m/s Thread will break at slower speed at bottom March 19, 2006 Physics for Scientists&Engineers 1 4 Rotation Rotation ! So far we have been treating bodies by looking at the motion of the center of mass ! We have now looked at both linear and circular motion of the center of mass. ! Previously, we had introduced the concept of motion of the center of mass + rotation about the center of mass ! Now we will study rotation of solid extended objects. March 19, 2006 Physics for Scientists&Engineers 1 5 Rotation of Non-Solid Extended Objects Rotation of Non-Solid Extended Objects Andromeda Galaxy Hurricane March 19, 2006 Physics for Scientists&Engineers 1 6 Kinematics of Circular Kinematics of Circular Motion Motion ! We start with some familiar concepts that we introduced to describe circular motion • Angular displacement • Angular velocity • Angular acceleration ! = d " dt ! = d " dt = d 2 # dt 2 ! March 19, 2006 Physics for Scientists&Engineers 1 7 Linear and Circular Motion Linear and Circular Motion ! We related the variables describing circular motion to the variables describing linear motion • Displacement, velocity, and acceleration • Kinetic energy for linear motion • Kinetic energy for circular motion (point particle) s = r !...
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PHY183-Lecture33 - Physics for Scientists&Engineers 1 1...

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