Force and Motion in 2-D.

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Presentation transcript:

Force and Motion in 2-D

Vector vs. Scalar

Vectors are unequal if… Vectors are equal if… Vectors are unequal if…

Equal vectors Same magnitude Same direction Note: slope http://math.tutorvista.com/calculus/equal-vector.html Equal vectors Same magnitude Same direction Note: slope Negative vectors Same magnitude Opposite directions Note: slope http://philschatz.com/physics-book/contents/m42127.html

Vector Addition Examples Vector Addition with three vectors.

Vector Addition Add vectors tip-to-tail Draw resultant vector from tail of first vector to tip of last vector

Vector Addition Draw x and y components of resultant Use Pythagorean Theorem A2 + B2 = C2 (C is the resultant vector)

Sample Problem A car is driven 100 km due west, then 35 km due south. What is the magnitude and direction of its displacement? Solve the problem graphically. Calculate the magnitude. 5 10 15 20

Crosswind Landings https://www.youtube.com/watch?v=lLmZ5jcQPYE https://www.youtube.com/watch?v=mMvLuUJFHYk