1 / 44

Classical Mechanics Unit 13 Examples Unit 14 Concepts

Classical Mechanics Unit 13 Examples Unit 14 Concepts. Today’s Examples: a) Elastic collisions… b) Impulse, Force during collisions . Today’s Concepts: a) Rotational Motion b) Moment of Inertia. Main Points. Main Points. Main Points. Kinetic Energy of the System.

cullen
Download Presentation

Classical Mechanics Unit 13 Examples Unit 14 Concepts

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Classical MechanicsUnit 13 Examples Unit 14 Concepts • Today’s Examples: • a) Elastic collisions… • b) Impulse, Force during collisions Today’s Concepts: a) Rotational Motion b) Moment of Inertia

  2. Main Points

  3. Main Points

  4. Main Points

  5. Kinetic Energy of the System

  6. Kinetic Energy of the System

  7. Kinetic Energy of the System

  8. Kinetic Energy of the System

  9. Kinetic Energy of the System

  10. Kinetic Energy of the System

  11. Kinetic Energy of the System

  12. HW Problem

  13. DP=pf-pi pi q Another way to look at it: -pi pf q pf |p|=mv |DPX | = 2mv cosq |DPY| = 0

  14. |Favg | = |DP| /Dt = 2mv cosq /Dt

  15. pi Another way to look at it: pf DP = pf-pi pf -pi Favg = DP/Dt |DP| = |pf–pi| = m|vf–vi| Dt = DP/Favg

  16. Ball Hits Wall 2 |p|=mv

  17. Ball Hits Wall 2 |DPX | = 2mv cosq |DPY| = 0 Dt = DP/Favg

  18. Ball Hits Wall 2 DP = pf-pi pf -pi |DP| = |pf–pi| = m|vf–vi|

  19. Ball Hits Wall 2 Favg = DP/Dt

  20. Explosion

  21. Explosion

  22. Explosion

  23. Explosion 2

  24. Explosion 2

  25. Classical MechanicsUnit 14 Concepts Today’s Concepts: a) Rotational Motion b) Moment of Inertia

  26. Lecture Thoughts

  27. Unit 14 Main Points

  28. Unit 14 Main Points

  29. Unit 14 Main Points

  30. Linear Dynamics Describes motion of point particles (or center of mass)…

  31. Rotational Kinematics Needed to fully describe motion of systems of particles…or extended objects Motion relative to center of mass

  32. Rotational Kinematics

  33. Comparison

  34. Comparison for constant acceleration

  35. Motion of point at distance R from Center

  36. Motion of point at distance R from Center

  37. Lecture Question

  38. Summary of Rotations Angular velocity w is measured in radians/sec Frequency f is measured in revolutions/sec 1 revolution =2p radians PeriodT = 1/f

  39. Another Summary w Constant a does not mean constant w

  40. Clicker Question A disk spins at 2 revolutions/sec. What is its period? A) T= 2 sec B)T= 2p sec C) T=½ sec

  41. Clicker Question A disk spins at 2 revolutions/sec. What is its angular velocity? A) B) C) rad/sec rad/sec rad/sec

  42. CheckPoint a A wheel which is initially at rest starts to turn with a constant angular acceleration. After 4 seconds it has made 4 complete revolutions. How many revolutions has it made after 8 seconds? A) 8 B) 12 C) 16 Everyone got this right!!!

  43. CheckPoint Response a After 4 seconds it has made 4 complete revolutions. How many revolutions has it made after 8 seconds? A) 8 B) 12 C) 16 C) The number of revolutions is proportional to time squared.

More Related