chapter03_CM_students - Vector Addition Velocity...

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1 •Vector Addition •Velocity •Acceleration •Projectile Motion
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2 2 , cont’d Consider someone running on a ship. – If in the same directions, the vectors velocity add.
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3 3 , cont’d Consider again someone running on a ship. – If in the opposite directions, the vectors subtract.
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4 4 , cont’d What if the vectors are in different but perpendicular directions?
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5 5 , cont’d The resulting velocity of the bird (from the bird’s velocity and the wind) is a combination of the magnitude and direction of each velocity .
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6 6 , cont’d We can find the resulting magnitude using the Pythagorean theorem , the vectors being perpendicular 2 2 2 2 2 b a c
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7 7 , cont’d Let’s find the net speed of the bird in m/s Vector addition tip to tail The direction tan -1 (opp/adj)=tan -1 (6/8) = 36.9deg East to North 10 8 6 2 2
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8 To add vectors graphically they must be placed “tip to tail.” The result ( F 1 + F 2 ) points from the tail of the first vector to the tip of the second vector. F 1 F 2 R
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9 Adding vectors So far we added -1/ Parallel vectors : the direction of the sum was parallel to the two vectors, the magnitude was obtained by placing the vectors tip to tail and adding the magnitudes -2/ Vectors which were perpendicular : the direction of the Sum was obtained by putting the vectors a
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