W3.1 - January 18, 2008 Physics for...

Info iconThis preview shows pages 1–7. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: January 18, 2008 Physics for Scientists&Engineers 1 1 Physics for Scientists & Physics for Scientists & Engineers 1 Engineers 1 Spring Semester 2008 Lecture 9 January 18, 2008 Physics for Scientists&Engineers 1 2 Horizontal motion: constant velocity Vertical motion: free fall Use notation convention: Review: Previous Lecture (1) Review: Previous Lecture (1) (1) x = x + v x t (2) v x = v x 2 1 2 1 2 2 2 (3) (4) ( ) (5) (6) (7) 2 ( ) y y y y y y y y y y y v t gt v v gt y y v t v v v v v g y y = + ! = ! = + = + = ! ! v x ! v x ( t = 0); v y ! v y ( t = 0) January 18, 2008 Physics for Scientists&Engineers 1 3 Review: Previous Lecture (2) Review: Previous Lecture (2) Trajectory is a parabola in xy-plane (here special case of x = 0 ) y = y + v y v x x ! g 2 v x 2 x 2 y = y + x tan ! " g 2 v 2 cos 2 ! x 2 or: y x cos sin x y v v v v ! ! = = Since January 18, 2008 Physics for Scientists&Engineers 1 4 v(t) v(t) Look at x- and y-components separately Horizontal component of the velocity stays constant in time -> horizontal line Vertical component falls in time, with slope -g Note: if vertical velocity starts positive, it will reach a point at which it is 0 (which is also the highest point in the trajectory!) v ( t ) t v x ( t ) v x v y ( t ) v y S l o p e =- g t = v y / g (1) (2 ( ) ( ) ) x x y y v t v v t v gt = = ! January 18, 2008 Physics for Scientists&Engineers 1 5 v(t) and Trajectory v(t) and Trajectory Superimpose snapshots of velocity vectors on trajectory at different times • Green arrows : horizontal v-component • Red arrows : vertical v-component • Blue arrows : velocity vector Important: velocity vector forms tangent at every point of trajectory Note: at apex of trajectory, v y changes sign January 18, 2008 Physics for Scientists&Engineers 1 6 In-Class Exercise 1 In-Class Exercise 1 In-class exercise: At the top of the trajectory of any projectile,...
View Full Document

This note was uploaded on 04/06/2008 for the course PHY 183 taught by Professor Wolf during the Spring '08 term at Michigan State University.

Page1 / 22

W3.1 - January 18, 2008 Physics for...

This preview shows document pages 1 - 7. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online