Vectors - Finding Vector Components Contents:

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Presentation transcript:

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 Y - Component X - Component TOC

Vectors - What components are Suppose A = 5 cm Ay = 3 cm Ax = 4 cm A = 4 cm x + 3 cm y (This is how you write it) ^ TOC

Whiteboards: Writing the notation 1 | 2 | 3

3.2 m 4.5 m 4.5 m x + 3.2 m y

3.9 m 1.2 m -1.2 m x + -3.9 m y

4.1 m 1.9 m -1.9 m x + 4.1 m y

Drawing the components Whiteboards: Drawing the components 1 | 2 | 3 | 4 | 5 | 6

Draw the components from the tail to the tip using arrows

Draw the components from the tail to the tip using arrows

Draw the components from the tail to the tip using arrows

Draw the components from the tail to the tip using arrows

Draw the components from the tail to the tip using arrows

Draw the components from the tail to the tip using arrows

Vectors - Try this yourself Get out your calculator type: sin 90 <ENTER> 1???? If not <2nd?> MODE Cursor arrows to “Degree” <ENTER> <CLEAR> Try again (sin 90)

Vectors - Finding Components - step by step Step 1: Draw the components Use Arrows/Around angle From 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 y Decide + and – Write as ______ m x + ______ m y

8.0 m Step 1: Draw the components Use Arrows/Around angle From 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 y Decide + and – Write as ______ m x + ______ m y

Vectors - Try this yourself 23.0 m/s Draw the Components Figure the components with sin and cos Write the answer in VC Notation  = 90 + 31 = 121o 23cos(121) x + 23sin(121) y -11.846 x + 19.715 y -11.8 m/s x + 19.7 m/s y

Whiteboards: AM to VC 1 | 2 | 3 | 4 | 5

27.0 km 32.2o  = 32.2o 27.0cos(32.2) x + 27.0sin(32.2) y 22.84721549 14.38765945 22.8 km x + 14.4 km y 22.8 km x + 14.4 km y

77o 5.0 feet -5sin(77) x + 5cos(77) y -4.871850324 1.124755272 -4.871850324 1.124755272 -4.9 ft x + 1.1 ft y -4.9 ft x + 1.1 ft y

27o 42 m +42cos(27) x + -42cos(27) y 37.42227402 -19.06760099 37 m x + -19 m y 37 m x + -19 m y

38o 110.0 N +110.0sin(38) x + -110.0cos(38) y 67.72276229 -86.6811829 68 N x + -87 N y 68 N x + -87 N y

30.0o 5.0 m/s -5.0cos(30) x + -5.0sin(30) y -4.330127019 -2.5 -4.330127019 -2.5 -4.3 m/s x + -2.5 m/s y -4.3 m/s x + -2.5 m/s y