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phy2048 lecture06

phy2048 lecture06 - Chapter 4 Motion in Two and Three...

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4-6 Projectile Motion Analyzed  4-7 Uniform Circular Motion 4-8 Relative Motion in One Dimension 4-9 Relative Motion in Two Dimensions Chapter 4: Motion in Two and Three Dimensions Chapter 4 Homework 1, 5, 7, 13, 15, 21, 24, 26, 31, 43, 57, 60, 63, 71, 78, 104, 114, 120
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Projectile Motion t v x v v a x x x x 0 0 constant 0 = = = = 0 0 0 0 0 0 sin cos θ θ v v v v y x = = Constant Acceleration: j g a ˆ - = gy v v gt t v y gt v v g a y y y y y y 2 2 1 2 0 2 2 0 0 - = - = - = - =
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Example Sample Problem 4-6 : Rescue Capsule Find the angle φ . Find the angle θ . m/s 0 . 55 m, 500 0 = = v h
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Example Sample Problem 4-7 : Projectiles with equal initial and final elevations Given initial velocity ( v 0 and θ 0 ), find Height H Time of flight T Range R
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Uniform Circular Motion Uniform – constant speed ( v ) Circular – travel around a circle (radius r ) r v a 2 = v r T π 2 = Centripetal Acceleration Period of Revolution
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Examples Sample Problem 4-10 : Find magnitude of centripetal acceleration, in
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