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Lecture_5

# Lecture_5 - NewtonsLawsofMotion TOPICS FROM PREVIOUS...

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P123 Lecture 5 1 October 2010 Newton’s Laws of Motion TOPICS FROM PREVIOUS LECTURE (motion in 2-D) Components of Equation of Motion v x = v o x + a x tv y = v o y + a y t = + +1/2 a 2 = + a 2 x x o + v o x t + 1/2 x t y y o + v o y t + 1/2 y t etc., Projectile Motion Superposition of two motions Superposition of two motions: Constant v x and free-fall v y Then solve for : y = f ( x ) or trajectory: g v h o o 2 sin 2 2 y g v R o o 2 sin 2 h x R o v oy v ox v Relative Velocity: (e.g., cars on highway, airplane in wind, boat on river, …) Fixed Frame: A 1 Moving Frame: B Moving Object: P A B B P A P v v v / / /

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i Clicker y h x R o v oy v o v 2 ox a x =0 ; a y = -g
NEWTON’S LAWS OF MOTION So Far: Follow motion in 1 D and 2 D based solely on Follow motion in 1 D and 2 D based solely on definitions of v and a in terms of position as a function of time. (KINEMATICS) NOW Determine motion based on the underlying physica NOW: Determine motion based on the underlying physical cause of that motion. (DYNAMICS) “Laws of Motion” formulated by Newton over 300 years ago Forces and interactions Common experience: Force is a “push” or a “pull” Force is a vector pull push Different types of forces: Contact Force (kick soccer ball, push book, tow car, … ) Long range forces, act through “empty” space (electric force, magnetic force, gravitational force, … ) Unit of force in SI units: Newton [N] 3 We will focus on contact forces and gravity (near the earth’s surface )

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Superposition of forces Forces are vectors add to give resultant. 2 F 1 F R x R y R R NET FORCE: ... 3 2 1 F F F F R F F F F R F F F F R ... 3 2 1 x x x x x ... 3 2 1 y y y y y 2 2 2 z y x R R R R EQUILIBRIUM: Net force = 0 3 F y F 3 ? 0 F 2 F 1 F !
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Lecture_5 - NewtonsLawsofMotion TOPICS FROM PREVIOUS...

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