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Lesson 5 – Resolution of Vectors into Rectangular Components

Lesson 5 – Resolution of Vectors into Rectangular Components. July 30, 2013. Properties of Addition. Inequalities with Vectors. Hint: Think of the angles formed between vectors. Vector Basics. Vectors represent quantities that have directions

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Lesson 5 – Resolution of Vectors into Rectangular Components

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  1. Lesson 5 – Resolution of Vectors into Rectangular Components July 30, 2013

  2. Properties of Addition

  3. Inequalities with Vectors Hint: Think of the angles formed between vectors

  4. Vector Basics Vectors represent quantities that have directions Vectors are free to move in space (so long as the magnitude and direction remain the same) Only vectors with the same units may be added or subtracted.

  5. Vectors can be added in any order.

  6. Vector Subtraction • To subtract vectors, simply add the negative: • A + (-B) = A - B

  7. Parallelogram Rule • A parallelogram can be used to quickly add or subtract vectors visually. • Note the location of the resulting vector’s arrowhead in the subtraction. It will always point toward the first vector in the subtraction.

  8. Vector Components • When analyzing motion in a plane, it can be useful to break vectors apart into the two dimension of the plane (e.g. x and y)

  9. Vector Components in Addition • Vector components offer the advantage of allowing all vector additions to reduce to summation of like components. • This lowers the frequency that one will use the sine and cosine laws.

  10. Calculating Components • This is a right triangle • Use SOH-CAH-TOA to calculate the magnitudes of the component vectors • sinq = Vy/V • So, • Vy =Vsinq • and… • cosq = Vx/V • So, • Vx = Vcosq

  11. Physics Example 1

  12. Physics Example 2

  13. Physics Example 3

  14. Required Before Next Class • Read Section 6.3 • Section 6.5 # 2, 4, 6, 8, 9 • Go to the course website: www.quantumtunneling.weebly.com • Add me on Facebook, Peter Bishop, but be sure to send a message along with it indicating which class you are in, and what section. • Write to me your e-mail, so I can send you an invitation into dropbox, which will be used throughout the course.

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