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PPT – Vectors and Two-Dimensional Motion PowerPoint presentation | free to download - id: 77315d-N2E3Z

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Vectors and Two-Dimensional Motion

- Vectors in Two Dimensions

Adding Vectors Graphically

Place vectors ____________

Parallelogram Method

- Can move a vector parallel to itself

R A __

R B __

Adding More Than 2 Vectors

Fig. 3.4, p. 56

Vector Components

- Vector components related to ________ and

_________

Negative Vectors

- -A has the same magnitude as A, but the

__________ direction

A

Ay

-Ax

Ax

-Ay

-A

Subtracting Vectors

- Subtraction is the same as ________ the ________

Fig. 3.5, p. 56

Vectors Multiplied by a Scalar

- Each ___________ gets multiplied by scalar
- Division is the same as ___________ by 1/(scalar)
- If scalar is negative, direction is _______

Adding Vectors Algebraically

By

Ry

?

Ay

Ax

Bx

Rx

Adding Vectors Algebraically

Check to make sure __ makes sense tan-1 only

gives ? between ____ and ____

Working in Two Dimensions

- Reference frame chosen for convenience
- ?r, v, and a are vectors know how to
- Break into x- and y-components
- Add/subtract components
- Convert result to magnitude and direction
- Two vectors are equal only if they have the same

__________ and __________

Displacement Vector

- Point 1 is located by vector ___ with components

___ and ___ - It moves to point 2 via ___ with components ___

and ___ - Point 2 is located by vector ___ with components

___ and ___

y

2

1

x

Displacement Vector

- Vector addition holds true for displacement

vectors and their components

y

2

?r

1

r2

r1

x

Velocity Vectors

- Average Velocity

Components

Acceleration Vectors

- Average Acceleration

Components

Instantaneous Acceleration