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PHY 113 C General Physics I 11 AM – 12:15 P M MWF Olin 101 Plan for Lecture 26:

PHY 113 C General Physics I 11 AM – 12:15 P M MWF Olin 101 Plan for Lecture 26: Comments on preparing for Final Exam Comprehensive review – Part II Course assessment. Final exam schedule for PHY 113 C. Comments on Final Exam

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PHY 113 C General Physics I 11 AM – 12:15 P M MWF Olin 101 Plan for Lecture 26:

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  1. PHY 113 C General Physics I 11 AM – 12:15 PM MWF Olin 101 Plan for Lecture 26: Comments on preparing for Final Exam Comprehensive review – Part II Course assessment PHY 113 C Fall 2013 -- Lecture 26

  2. PHY 113 C Fall 2013 -- Lecture 26

  3. Final exam schedule for PHY 113 C PHY 113 C Fall 2013 -- Lecture 26

  4. Comments on Final Exam • It will be comprehensive (covering material from Chapters 1-22) • It is scheduled for 9 AM Dec. 12th in Olin 101 • In class format only; no time pressure • May bring 4 equation sheets • Format will be similar to previous exams; may see problems similar to those on previous exams PHY 113 C Fall 2013 -- Lecture 26

  5. General advice on how to prepare for Final Exam • Review fundamental concepts and their corresponding equations • Develop equation sheets that help you solve example problems on all of the material. (You can assume that empirical constants and parameters will be given to you; they need not take up space on your equation sheet.) • Practice problem solving techniques. • If you find mysteries, unanswered questions, etc., please contact me. PHY 113 C Fall 2013 -- Lecture 26

  6. Review of some basic concepts • Vectors • Keep track of 2 or more components (or magnitude and direction) • Examples • Position vector • Velocity • Acceleration • Force • Momentum • Scalars • Single (signed) quantity • Examples • Time • Energy • Kinetic energy • Work • Potential energy • Pressure • Temperature • Mass • Density • Volume PHY 113 C Fall 2013 -- Lecture 26

  7. Review of some basic concepts Newton’s second law PHY 113 C Fall 2013 -- Lecture 26

  8. Review of some basic concepts Newton’s second law for angular motion PHY 113 C Fall 2013 -- Lecture 26

  9. Review of energy concepts: PHY 113 C Fall 2013 -- Lecture 26

  10. Summary of work, potential energy, kinetic energy relationships PHY 113 C Fall 2013 -- Lecture 26

  11. Extension of concepts of energy conservation to extended objects PHY 113 C Fall 2013 -- Lecture 26

  12. CM CM PHY 113 C Fall 2013 -- Lecture 26

  13. Three round balls, each having a mass M and radius R, start from rest at the top of the incline. After they are released, they roll without slipping down the incline. Which ball will reach the bottom first? C B A PHY 113 C Fall 2013 -- Lecture 26

  14. iclicker exercise: In previous example which of the equations on your equation sheet would be most useful? PHY 113 C Fall 2013 -- Lecture 26

  15. From your questions -- (question from Exam 2) PHY 113 C Fall 2013 -- Lecture 26

  16. Comment on circular motion -- uniform circular motion PHY 113 C Fall 2013 -- Lecture 26

  17. Comment on circular motion -- uniform circular motion r In terms of time period T for one cycle: In terms of the frequency f of complete cycles: PHY 113 C Fall 2013 -- Lecture 26

  18. Comment on circular motion -- uniform circular motion – effects on gravitationally attractive bodies PHY 113 C Fall 2013 -- Lecture 26

  19. Comment on circular motion -- non-uniform circular motion r At each instant of time ac aq Note that if speed v is not constant, then there will also be a tangential component of acceleration: PHY 113 C Fall 2013 -- Lecture 26

  20. From your questions -- (question from Exam 1) Neglecting any possible dissipative forces acting on this system, determine the magnitude of the velocity of the ball vf as it is caught by the person at the coordinates (xf,yf). What is the angle qf? Determine the net work of gravity on the ball at it moves from the initial to final positions in its trajectory: . PHY 113 C Fall 2013 -- Lecture 26

  21. From your questions -- (question from Exam 1) Neglecting any possible dissipative forces acting on this system, determine the magnitude of the velocity of the ball vf as it is caught by the person at the coordinates (xf,yf). What is the angle qf? Determine the net work of gravity on the ball at it moves from the initial to final positions in its trajectory: . PHY 113 C Fall 2013 -- Lecture 26

  22. From your questions -- force diagrams q1 q2 F2 F1 mg m PHY 113 C Fall 2013 -- Lecture 26

  23. From your questions -- pendulum T- mg cosq = 0 -mg sin q = -maq F=ma  r q T t=I a r mg sin q = mr2 a = mraq mg(-j) PHY 113 C Fall 2013 -- Lecture 26

  24. From your questions -- driven Harmonic oscillator PHY 113 C Fall 2013 -- Lecture 26

  25. From your questions -- driven Harmonic oscillator PHY 113 C Fall 2013 -- Lecture 26

  26. Similar problem from webassign: • Damping is negligible for a 0.165-kg object hanging from a light, 6.30-N/m spring. A sinusoidal force with an amplitude of 1.70 N drives the system. At what frequency will the force make the object vibrate with an amplitude of 0.600m? (usually neglected) PHY 113 C Fall 2013 -- Lecture 26

  27. Examples of two-dimensional collision; balls moving on a frictionless surface PHY 113 C Fall 2013 -- Lecture 26

  28. Examples of two-dimensional collision; balls moving on a frictionless surface – energy conservation? • Note: In these collision analyses, we are neglecting forces and potential energy • iclicker question • Why? • We are cheating physics • We are applying the laws of physics correctly PHY 113 C Fall 2013 -- Lecture 26

  29. Examples of two-dimensional collision; balls moving on a frictionless surface – energy conservation? Assuming that we applying the laws of physics correctly – we can ask the question – Is (kinetic) energy conserved? PHY 113 C Fall 2013 -- Lecture 26

  30. From your questions -- conservation of angular momentum w1 w2 m m m m d2 d1 d1 d2 I2=2md22 I1=2md12 I1w1=I2w2 w2=w1 I1/I2 PHY 113 C Fall 2013 -- Lecture 26

  31. Example form Webassign #11 • iclicker exercise • When the pivot point is O, which torque is zero? • A. t1? • B. t2? • C. t3? t3 X t2 t1 PHY 113 C Fall 2013 -- Lecture 26

  32. An example of the application of torque on a rigid object: A horizontal 800 N merry-go-round is a solid disc of radius 1.50 m and is started from rest by a constant horizontal force of 50 N applied tangentially to the cylinder. Find the kinetic energy of solid cylinder after 3 s. F R K = ½ I w2 t = I a w = wi + at = at In this case I = ½ m R2 and t = FR PHY 113 C Fall 2013 -- Lecture 26

  33. Webassign questions on fluids (Assignment #17) A hypodermic syringe contains a medicine with the density of water (see figure below). The barrel of the syringe has a cross-sectional area A = 2.40  10-5 m2, and the needle has a cross-sectional area a = 1.00  10-8 m2. In the absence of a force on the plunger, the pressure everywhere is 1.00 atm. A force  of magnitude 2.65 N acts on the plunger, making medicine squirt horizontally from the needle. Determine the speed of the medicine as it leaves the needle's tip.  PHY 113 C Fall 2013 -- Lecture 26

  34. Send email or come to see me if you have further questions. THANKS! PHY 113 C Fall 2013 -- Lecture 26

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