Vectors - Finding Vector Components
Contents:• Definition of vector components• Whiteboards: Writing the notation• How to find components• Whiteboard Am to VC
Vectors - What components are
TOC
A:
X - Component
Y - Component
Vectors - What components are
TOC
Suppose A = 5 cm
Ax = 4 cm
Ay = 3 cm
A = 4 cm x + 3 cm y(This is how you write it)
^ ^
Whiteboards: Writing the notation
1 | 2 | 3
4.5 m x + 3.2 m y
4.5 m
3.2 m
-1.2 m x + -3.9 m y
1.2 m
3.9 m
-1.9 m x + 4.1 m y
1.9 m
4.1 m
Whiteboards: Drawing the components
1 | 2 | 3 | 4 | 5 | 6
Draw the components from the tail to the tip using arrows
32o
38o
Draw the components from the tail to the tip using arrows
13o
Draw the components from the tail to the tip using arrows
22o
Draw the components from the tail to the tip using arrows
26o
Draw the components from the tail to the tip using arrows
42o
Draw the components from the tail to the tip using arrows
Vectors - Try this yourself
Get out your calculatortype:sin 90 <ENTER>1????If not <2nd?> MODECursor arrows to “Degree”<ENTER> <CLEAR>Try again (sin 90)
Vectors - Finding Components - step by step
Step 1: Draw the componentsUse Arrows/Around angleFrom tail to tip of vector
Step 2: Find the Adj and Opp sides:A = (Hyp)Cos()O = (Hyp)Sin()
Step 3: Write as components:Decide x and yDecide + and –Write as ______ m x + ______ m y
12 m
27o
Step 1: Draw the componentsUse Arrows/Around angleFrom tail to tip of vector
Step 2: Find the Adj and Opp sides:A = (Hyp)Cos()O = (Hyp)Sin()
Step 3: Write as components:Decide x and yDecide + and –Write as ______ m x + ______ m y
8.0 m
Vectors - Try this yourself
23.0 m/s31.0o
1. Draw the Components2. Figure the components with sin and cos3. Write the answer in VC Notation
-11.8 m/s x + 19.7 m/s y
= 90 + 31 = 121o
23cos(121) x + 23sin(121) y-11.846 x + 19.715 y
Whiteboards: AM to VC
1 | 2 | 3 | 4 | 5
22.8 km x + 14.4 km y
32.2o
27.0 km
= 32.2o
27.0cos(32.2) x + 27.0sin(32.2) y22.84721549 14.3876594522.8 km x + 14.4 km y
-4.9 ft x + 1.1 ft y
5.0 feet77o
-5sin(77) x + 5cos(77) y-4.871850324 1.124755272-4.9 ft x + 1.1 ft y
37 m x + -19 m y
42 m
27o
+42cos(27) x + -42cos(27) y37.42227402 -19.0676009937 m x + -19 m y
68 N x + -87 N y
110.0 N38o
+110.0sin(38) x + -110.0cos(38) y67.72276229 -86.681182968 N x + -87 N y
-4.3 m/s x + -2.5 m/s y
5.0 m/s
30.0o
-5.0cos(30) x + -5.0sin(30) y-4.330127019 -2.5-4.3 m/s x + -2.5 m/s y
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