Lect13_new.pptx.pdf

# A a b b c c d d e you can t tell review of vectors 2

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A. A B. B C. C D. D E. You can t tell. Review of Vectors (2-dimensional coordinates) We have 2 directions to specify. We must Choose a reference point (origin) Pick 2 perpendicular axes (x and y) Choose a scale We specify our x and y directions by drawing little arrows of unit length in their positive direction. A force vector is written j i ˆ , ˆ ( ) y x y x F F j F i F F , ˆ ˆ = + =

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10/3/17 3 Adding Forces We define the sum of two vectors as if they were successive displacements. 2 1 F F F + = 1 F 2 F F Adding Vectors: Methods There are 3 mathematical ways to add vectors head parallelogram add components to tail rule (may use trig) Vector Aerobics Given that For the following vector operaPons, find the results both algebraically and show their meaning geometrically. i c j b j i a ˆ 4 ˆ 3 ˆ 2 ˆ = = + = ! ! ! b a c a ! ! ! ! ! ! ! + ? Trig review The raPos of a triangle’s sides only depend on θ. sin(θ) = opposite/hypotenuse cos(θ) = adjacent/hypotenuse tan(θ) = opposite/adjacent. Vectors with trig – by components A = A x ˆ i + A y ˆ j = A cos( θ ) ( ) ˆ i + A sin( θ ) ( ) ˆ j B = B x ˆ i + B y ˆ j = B sin( φ ) ( ) ˆ i + B cos( φ ) ( ) ˆ j A + B = ?
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• Spring '16
• Pritchie
• Charge, Force, Electric charge, Biology 23300

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