IMPORTANT NOTICES
This presentation is the property of its rightful owner.
Sponsored Links
1 / 17

Review sessions (both in NPB 1001, i.e. here): Thursday, Sept. 9 th (Hill), 6:15-8:10pm PowerPoint PPT Presentation


  • 93 Views
  • Uploaded on
  • Presentation posted in: General

IMPORTANT NOTICES. Review sessions (both in NPB 1001, i.e. here): Thursday, Sept. 9 th (Hill), 6:15-8:10pm Friday, Sept. 10 th (Woodard), 6:15-8:10pm Subject: chapters 1-4 (similar coverage each night) Exam 1 – Mon. Sept. 13, 8:20-10:20pm

Download Presentation

Review sessions (both in NPB 1001, i.e. here): Thursday, Sept. 9 th (Hill), 6:15-8:10pm

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.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript


Review sessions both in npb 1001 i e here thursday sept 9 th hill 6 15 8 10pm

IMPORTANT NOTICES

  • Review sessions (both in NPB 1001, i.e. here):

  • Thursday, Sept. 9th (Hill), 6:15-8:10pm

  • Friday, Sept. 10th (Woodard), 6:15-8:10pm

  • Subject: chapters 1-4 (similar coverage each night)

  • Exam 1 – Mon. Sept. 13, 8:20-10:20pm

  • (Important instructions for exam in Fri./Mon. classes)

Chapter 1 and 2 WebAssign homework deadlines are tonight at 11pm (chapter 3 on Friday, 11pm).


Review sessions both in npb 1001 i e here thursday sept 9 th hill 6 15 8 10pm

Class 7 - Motion in 2D and 3D

Chapter 4 - Wednesday September 8th

  • 2D/3D Position, displacement, velocity and acceleration

  • Example problems

  • Projectile motion, with demonstrations

  • Example problems

Reading: pages 58 thru 70 (chapter 4) in HRW

Read and understand the sample problems

Assigned problems from Chapter 4:

6, 8, 14, 20, 30, 40, 46, 52, 56, 62 (due Sun. 12th)


Review sessions both in npb 1001 i e here thursday sept 9 th hill 6 15 8 10pm

Position and displacement

Position:

  • Coefficients x, y, and z give the particle's coordinates relative to the origin.

Displacement:

  • The equations of motion that we introduced in chapter 2 apply equally to two- and three-dimensional motion.

  • All we need to do is to break the motion up into components, and treat each component independently, i.e. we will have two sets of equations in 2D, and three sets in 3D.


Review sessions both in npb 1001 i e here thursday sept 9 th hill 6 15 8 10pm

Important note!

  • Displacement vectors are added graphically by placing the tail of one vector at the head of the other.

  • In chapter 3, you were told that the sum of two displacement vectors is given as follows:


Review sessions both in npb 1001 i e here thursday sept 9 th hill 6 15 8 10pm

Important note!

  • Position vectors represent coordinates.

  • The displacement between two position vectors is given by the difference between the ending position and the starting position:

O


Review sessions both in npb 1001 i e here thursday sept 9 th hill 6 15 8 10pm

Average and instantaneous velocity

  • In component form:

  • Instantaneous velocity:

  • Or:


Review sessions both in npb 1001 i e here thursday sept 9 th hill 6 15 8 10pm

Average and instantaneous acceleration

  • In component form:

  • Instantaneous acceleration:

  • Or:


Review sessions both in npb 1001 i e here thursday sept 9 th hill 6 15 8 10pm

Projectile motion

  • Motion in a vertical plane where the only influence is the constant acceleration due to gravity.

  • In projectile motion, the horizontal motion and vertical motion are independent of each other, i.e. they do not affect each other.

  • This feature allows us to break the motion into two separate one-dimensional problems: one for the horizontal motion; the other for the vertical motion.

  • We will assume that air resistance has no effect.


Review sessions both in npb 1001 i e here thursday sept 9 th hill 6 15 8 10pm

Examples of projectile

motion


Review sessions both in npb 1001 i e here thursday sept 9 th hill 6 15 8 10pm

Demonstration


Review sessions both in npb 1001 i e here thursday sept 9 th hill 6 15 8 10pm

Back to projectile motion

  • This demonstration, which I showed in class, illustrates the fact that vertical motion is unaffected by horizontal motion, i.e. the two balls accelerate at the same constant rate, irrespective of their horizontal component of motion.

  • In all of the projectile motion problems that we will consider, we shall assume that the only acceleration is due to gravity (a=-g) which acts along the y-axis.


Review sessions both in npb 1001 i e here thursday sept 9 th hill 6 15 8 10pm

Analyzing the motion

Initial coordinates x0 and y0


Review sessions both in npb 1001 i e here thursday sept 9 th hill 6 15 8 10pm

Remember these formulae?


Review sessions both in npb 1001 i e here thursday sept 9 th hill 6 15 8 10pm

Horizontal motion


Review sessions both in npb 1001 i e here thursday sept 9 th hill 6 15 8 10pm

Vertical motion


Review sessions both in npb 1001 i e here thursday sept 9 th hill 6 15 8 10pm

Projectile equations of motion


Review sessions both in npb 1001 i e here thursday sept 9 th hill 6 15 8 10pm

The effects of air

The physics professor's home run always goes further than the professional's


  • Login