# chapter3 - CHAPTER 3 Two-Dimensional Motion and Vectors...

This preview shows pages 1–12. Sign up to view the full content.

CHAPTER 3 CHAPTER 3 Two-Dimensional Motion and Vectors

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Representations: Representations: x y (x, y) (x, y) (r, θ ) VECTOR quantities: VECTOR quantities: Vectors have magnitude and direction. Other vectors: velocity, acceleration, momentum, force …
Vector Addition/Subtraction Vector Addition/Subtraction 2nd vector begins at end of first vector Order doesn’t matter Vector addition Vector subtraction A – B can be interpreted as A+(-B)

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Vector Components Vector Components Cartesian components are projections along the x- and y-axes A x = A cos q A y = A sin q Going backwards, A = +  θ=  -
Example 3.1a Example 3.1a The magnitude of (A-B) is : a) <0 b) =0 c) >0

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Example 3.1b Example 3.1b The x-component of (A-B) is: a) <0 b) =0 c) >0
Example 3.1c Example 3.1c The y-component of (A-B) > 0 a) <0 b) =0 c) >0

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Example 3.2 Example 3.2 Alice and Bob carry a bottle of wine to a picnic site. Alice carries the bottle 5 miles due east, and Bob carries the bottle another 10 miles traveling 30 degrees north of east. Carol, who is bringing the glasses, takes a short cut and goes directly to the picnic site. How far did Carol walk? What was Carol’s direction? 14.55 miles, at 20.10 degrees Alice Carol
Arcsin, Arccos and Arctan: Watch out! Arcsin, Arccos and Arctan: Watch out! same sine same cosine same tangent Arcsin, Arccos and Arctan functions can yield wrong angles if x or y are negative.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
2-dim Motion: Velocity 2-dim Motion: Velocity Graphically, v = r / t It is a vector (rate of change of position) Trajectory
Multiplying/Dividing Vectors Multiplying/Dividing Vectors by Scalars, e.g.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## chapter3 - CHAPTER 3 Two-Dimensional Motion and Vectors...

This preview shows document pages 1 - 12. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online