Lecture 3 - Ch3 Vectors Scalar just a number mass(m time(t...

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Ch3: Vectors Scalar: just a number • mass (m) • time (t) • pressure (P) • temperature (T) • energy (E) Vector: magnitude + direction • displacement •ve loc i ty • acceleration •fo rce •momen tum r G v G F G a G p G
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Adding Vectors a G b G a G b G c G c G ca b = + G G G To add vectors, you can slide them as you wish as long as you preserve their direction
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Adding Vectors: examples a G b G a G b G 120 ° a = 3 b = 4 a = 2 b = 2 NOTE: ab G G ca b = + G G G Need to add vectors with different magnitudes, directions!
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Vector Components y a G x a G a G 22 2 cos sin x y x y x y aa a a θ = = = + =+ GG G θ x y Components depend on your choice of the coordinate system
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You need to know: cos 0 1 sin 0 0 3 cos30 2 1 sin 30 2 1 cos 60 2 3 sin 60 2 cos90 0 sin 90 1 = = = = = = = = D D D D D D D D 360 2 radians π = D sin x, cos x look like this: x (rad) sin x cos x 0 π sin (x y) = sin x cos y cos x sin y cos(x y)= cos x cos y sin x sin y ± ± ± … etc. See Appendix E in HRW
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Unit Vectors
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This note was uploaded on 04/29/2008 for the course PHY 2048 taught by Professor Field during the Spring '08 term at University of Florida.

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Lecture 3 - Ch3 Vectors Scalar just a number mass(m time(t...

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