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Physics131_L13WI10 - Physics 131 Mechanics Le cture13 Fe...

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Physics 131 - Mechanics Lecture13 February 8, 2010 Homeyra Sadaghiani
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October 24, 2010 Physics 131 - Lecture 13 Announcements HW#5 is due at 9 a.m. on Wed. February 10 th The Conservation of momentum tutorial homework is due Wed. February 17 th 2
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Week Date L# Lecture topic Text reading HW 5 1-Feb 10 Equilibrium, using the 2nd Law 6.1-3 (12 P)   3-Feb 11 2nd Law Application: Friction, Drag 6.4-6 (12 P) HW#4   5-Feb 12 Newton’s 3rd Law: Interaction 7.1-5 (19 P) 6 8-Feb 13 Uniform circular motion 8.1-7 (18 P)   10-Feb 14 Momentum, Impulse & conservation of momentum 9.1-3   12-Feb F1 Conservation of momentum Tutorial 7 15-Feb H2 Holiday (Presidents' Day)   17-Feb 16 Inelastic collisions 9.4-6 (12 P) HW#6   19-Feb 16 Energy 10.1-4 (13 P) 8 22-Feb 17 Potential energy and elastic collision 10.5-7 (13 P) 24-Feb 18 Work & kinetic energy 11.1-3 (10 P) HW#3 26-Feb E2 EXAM 2- Chapters 5-9 October 24, 2010 Physics 131 - Lecture 13 Lecture Schedule We are here! 3
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October 24, 2010 Physics 131 - Lecture 13 4 Chapter 8. Dynamics II: Motion Chapter 8. Dynamics II: Motion in a Plane in a Plane Chapter Goal: To learn how to solve problems about motion in a plane.
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ME-D-PW PAIL OF WATER October 24, 2010 Physics 131 - Lecture 13 Water is contained in the bucket by centripetal force supplied by your arm. 5
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October 24, 2010 Physics 131 - Lecture 13 6 Does the Water Does the Water Stay in the Stay in the Glass? Glass? A. Yes A. Yes B. No B. No C. Not sure C. Not sure Clicker Question
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October 24, 2010 Physics 131 - Lecture 13 7 Review: Uniform Circular Motion Review: Uniform Circular Motion
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October 24, 2010 Physics 131 - Lecture 13 8 Best Choice of Coordinate Best Choice of Coordinate System System
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October 24, 2010 Physics 131 - Lecture 13 9 Uniform Circular Motion Uniform Circular Motion The acceleration of uniform circular motion points to the center of the circle. Thus the acceleration vector has only a radial component a r . This acceleration is conveniently written in the rtz -coordinate system as
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October 24, 2010 Physics 131 - Lecture 13 10 Dynamics of Uniform Circular Dynamics of Uniform Circular Motion Motion The usefulness of the rtz - coordinate system becomes apparent when we write Newton’s second law in terms of the r -, t -, and z -components, as follows:
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October 24, 2010 Physics 131 - Lecture 13 11/30 Centripetal Force Thecentripetal force f cp , required to keep an object of mass m moving in a circleof radius r . Themagnitudeof theforce f cp , called centripetal force becauseit points toward thecenter of rotation, is given by: 2 2 cp cp v f ma m m r r ϖ = = =
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October 24, 2010 Physics 131 - Lecture 13 12/30 Sources of Centripetal Force This centripetal force may beprovided by the tension in a string, thenormal force, or friction, among other sources.
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October 24, 2010 Physics 131 - Lecture 13 13 Problem Solving Strategy Picture: Remember that when circular motion is involved, you should never label a force such as “centripetal force” on a free-body diagram.
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