Separation of vectors into components

(Component = part)

Consider the dog below. What direction is the force on the dog?

A. Up & to RightB. Up & to LeftC. Down & rightD. Down and left

0 % 0 %0 %0 %

30

NOW, if the leash were held in the direction of the red arrow, predict how the force on the

dog would be different?A. More L less upB. More R less upC. More up less RD. More up more

R

2 5 % 2 5 %2 5 %2 5 %

30

NOW, if the leash were held in the direction of the red arrow, predict how the force on the

dog would be different?A. More L less upB. More R less upC. More up less RD. More up more

R

2 5 % 2 5 %2 5 %2 5 %

30

NOW, if the leash were held in the direction of the red arrow, predict how the force on the

dog would be different?A. Just up, no L or

RB. Just down, no L

or RC. No force at all

3 3% 3 3%3 3%

30

NOW, if the leash were held in the direction of the red arrow, predict how the force on the

dog would be different?A. Just L no up nor

downB. Just R no up nor

downC. No force

whatsoever.

3 3% 3 3%3 3%

30

• Vector Components:–In many (most) real world situations,

forces, velocities, accelerations etc. are NOT parallel to the horizontal and vertical planes and have a Vertical and Horizontal component simultaneously.–In order to describe or predict motion

and forces, it is necessary to consider each component separately

Consider the following example of a stone thrown at an angle and a velocity, v.

• v = 10m/s v = 10 m/s

• Hypothesize which stone stays in the air the longest?

• Justify your hypothesis.

Consider the following example of a stone thrown at an angle and a velocity, v.

• v = 10m/s v = 10 m/s

• Hypothesize which stone is travelling horizontally the fastest?

• Justify your hypothesis.

Estimate the horizontal component of the 10 m/s velocity vector

A. 10m/sB. 8m/sC. 12m/sD. 2m/s

2 5 % 2 5 %2 5 %2 5 %

:30

Estimate the horizontal component of the 10 m/s velocity vector

A. 10m/sB. 8m/sC. 12m/sD. 2m/s

2 5 % 2 5 %2 5 %2 5 %

:30

Estimate the vertical component of the 10 m/s velocity vector

A. 10m/sB. 8m/sC. 12m/sD. 2m/s

2 5 % 2 5 %2 5 %2 5 %

:30

Estimate the vertical component of the 10 m/s velocity vector

A. 10m/sB. 8m/sC. 12m/sD. 2m/s

2 5 % 2 5 %2 5 %2 5 %

:30

How do we figure out the horizontal and vertical components (we need numbers!)

• Draw a rough sketch of the vector SHOWING the magnitude and the angle made with the horizontal.

• Sketch a rectangle around the vector• Beginning with the tail, sketch the first

component of the vector along the rectangle, then continue from the corner and sketch the second component showing direction with arrows.

• Calculate components using SOH CAH TOA

DIRECTION!

• Components to the RIGHT or UP are ____ive .• Components to the LEFT or DOWN are ___ive.

Here is one example

Lets do the example in the homework

• The physics classroom link from my website has a GREAT tutorial on vectors. Just take yout time and go through it when you have a chance.

• This powerpoint in on my website.