Chapter12-Kinematics of Particles

# Chapter12-Kinematics of Particles - Kinematics of a...

This preview shows pages 1–16. Sign up to view the full content.

Kinematics of a Particle Lectures 17-18 (Chapter 12) Dr. Marina Milner-Bolotin [email protected] Check Blackboard for course web site!

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

View Full Document
Part I: Lecture 17 – 1-D Kinematics (Motion with Constant Acceleration) Goals: Review 1-D Kinematics (constant acceleration). Review various descriptions of motion (motion diagrams, graphs, algebraic description). Problem solving: 1-D kinematics - constant acceleration. Introduction to LoggerPro VideoAnalysis. 2
Big Picture 3

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

View Full Document
Kinematics The branch of Physics that studies MOTION without relating it to the forces that causes it. No question “WHY” is asked! Objectives: To find the kinematic quantities (position, displacement, velocity, and acceleration) of a traveling particle and their relationships. 4
24/05/10 5 1-D Kinematics 1-D Kinematics Goal: Questions to be answered: Question to be ignored: Ways of describing motion:

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

View Full Document
Let’s denote the direction of the straight-line path by the coordinate axis s . The position of the particle at any instant, relative to the origin, O, is defined by the position vector r , or the scalar s . s can be positive or negative. Typical units for r and s are meters (m) or feet (ft). The displacement of the particle is a vector and is defined as its change in position. Vector form: r = r’ - r Scalar form: s = s’ - s The total distance traveled by the particle, s T is a positive scalar that represents the total length of the path over which the particle travels. Position & Displacement: Motion Along a Straight Line
24/05/10 7 Definitions of Kinematics Quantities Coordinate system: Position: Displacement: Distance: Elapsed time: Clock reading:

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

View Full Document
24/05/10 8 What Do You Need to Know to Describe Motion?
24/05/10 9 Logger Pro Motion Detector: An electronic bat www.vernier.com

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

View Full Document
PCS211 – Physics II: Mechanics 24/05/10 10 Describing 1-D Motion t , sec x , m 0.0 1.0 1.0 3.0 2.0 4.0 3.0 2.0 4.0 -1.0 An object started at 1 m to the right from the origin, moved to the right for 2 sec to x = 4 m , then turned around and moved to the left for 2 sec to x = – 1 m .
24/05/10 11 Example 17-1: Distance & Displacement Displacement : Find the displacement of an object and the distance traveled between t i = 0 s and t f = 4 s Distance ( odometer reading mileage ) :

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

View Full Document
24/05/10 12 Average Speed & Average Velocity How fast is the object moving? t , sec x , m x , m t , s x/ t m/s 0 1.0 1 3.0 2.0 1 2.0 2 4.0 1.0 1 1.0 3 2.0 2.0 1 2.0 4 1.0 3.0 1 3.0 Average velocity: t x v ave = Magnitude & direction Average speed: t x v v ave ave = = Magnitude
24/05/10 13 Average and Instantaneous Velocity Average and Instantaneous Velocity Average velocity: t x v ave = Instantaneous velocity: t x v t = 0 lim

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

View Full Document
24/05/10 14 Average & Instantaneous Acceleration Average acceleration: t v a ave = Instantaneous acceleration: t v a t = 0 lim Units of acceleration: 2 / ] [ s m s s m a = =
24/05/10 15 Motion Diagram of a Free Fall Motion diagram shows position (dot) and velocity (arrow) of an object at equal time intervals (for

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern