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Chapter 4 Notes

by: Jacob Edwards

Chapter 4 Notes 80218 - PHYS 1220 - 001

Jacob Edwards
GPA 3.2

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About this Document

These notes go over motion
Physics with Calculus I
Lih-sin The
Class Notes
25 ?




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This 3 page Class Notes was uploaded by Jacob Edwards on Monday February 8, 2016. The Class Notes belongs to 80218 - PHYS 1220 - 001 at Clemson University taught by Lih-sin The in Winter 2016. Since its upload, it has received 29 views. For similar materials see Physics with Calculus I in Physics 2 at Clemson University.


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Date Created: 02/08/16
Chapter 4 Two and Three Dimensional Motion The best way to work with multidimensional vectors is by using component form The position is written as:r=xi+yj+zk In this case x, y, and z would represent constants Displacement is shown as: ∆ r=∆ xi+∆ yj+∆zk Average Velocity: v= ∆r ∆ t If needed break this up into component for and do the final minus the initial positon and divide it by time. Think of it as being the slope for the position (rise over run). Instantaneous Velocity: dr v= dt Acceleration: ∆v a= ∆t Or dv a= dt If it helps think of acceleration as the slope of the velocity (rise over run) Projectile Motion: With projectile motion there is no acceleration in the x direction and the only vertical acceleration is gravity (-9.8 m/s ) This equation is used for projectile motion v (¿¿0tcos(θ))i+(v0tsi(θ)− gt ) j 2 r=¿ To find the range (the magnitude of the displacement when the vertical displacement is zero is calculated from: v2 R = 0 max g Circular Motion: v= 2πr T T- the amount of periods (Think of as a revolution) Position in a circle r= rcosθ)i+(rsin)j Angular speed (ω) dθ ω= dt Or 2π ω= T The instantaneous speed is sometimes referred to as the linear or translational speed and can be found from: s=θr The translational speed is found by taking the derivative of s: ds dθ =r dt dt So ds =v=rω dt Centripetal Acceleration  When the acceleration always points to the center 2 −v a c r (Positionvector ) Or a =−ω r 2 (Position vector) c Relative Motion  A reference frame is a coordinate system attached to an observer’s perspective. The observers measurements are made relative to this frame


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