SIMPLE HARMONIC MOTION Section 4 8 Precalculus Pre

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SIMPLE HARMONIC MOTION Section 4. 8 Precalculus Pre. AP/Dual, Revised © 2018 viet. dang@humbleisd.

SIMPLE HARMONIC MOTION Section 4. 8 Precalculus Pre. AP/Dual, Revised © 2018 viet. dang@humbleisd. net 12/16/2021 12: 19 AM § 4. 8 A: Simple Harmonic Motion 1

SIMPLE HARMONIC MOTION 12/16/2021 12: 19 AM § 4. 8 A: Simple Harmonic Motion

SIMPLE HARMONIC MOTION 12/16/2021 12: 19 AM § 4. 8 A: Simple Harmonic Motion 2

EQUATIONS 12/16/2021 12: 19 AM § 4. 8 A: Simple Harmonic Motion 3

EQUATIONS 12/16/2021 12: 19 AM § 4. 8 A: Simple Harmonic Motion 3

VIDEO GSP File You. Tube Clip: https: //www. youtube. com/watch? v=Xjy. OYluqn. DM 12/16/2021

VIDEO GSP File You. Tube Clip: https: //www. youtube. com/watch? v=Xjy. OYluqn. DM 12/16/2021 12: 19 AM § 4. 8 A: Simple Harmonic Motion 4

EXAMPLE 1 12/16/2021 12: 19 AM § 4. 8 A: Simple Harmonic Motion 5

EXAMPLE 1 12/16/2021 12: 19 AM § 4. 8 A: Simple Harmonic Motion 5

EXAMPLE 1 A 12/16/2021 12: 19 AM § 4. 8 A: Simple Harmonic Motion

EXAMPLE 1 A 12/16/2021 12: 19 AM § 4. 8 A: Simple Harmonic Motion 6

EXAMPLE 1 B 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion

EXAMPLE 1 B 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion 7

EXAMPLE 1 C 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion

EXAMPLE 1 C 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion 8

EXAMPLE 1 D 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion

EXAMPLE 1 D 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion 9

EXAMPLE 1 D 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion

EXAMPLE 1 D 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion 10

GRAPHING CALCULATOR 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion 11

GRAPHING CALCULATOR 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion 11

GRAPHING CALCULATOR 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion 12

GRAPHING CALCULATOR 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion 12

GRAPHING CALCULATOR 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion 13

GRAPHING CALCULATOR 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion 13

GRAPHING CALCULATOR 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion 14

GRAPHING CALCULATOR 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion 14

YOUR TURN 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion 15

YOUR TURN 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion 15

SIMPLE HARMONIC MOTION A. An important situation in which simple harmonic motion occurs is

SIMPLE HARMONIC MOTION A. An important situation in which simple harmonic motion occurs is in the production of sound. B. Sound is produced by a regular variation in air pressure from the normal pressure. If the pressure varies in simple harmonic motion, then a pure sound is produced. C. The tone of the sound depends on the frequency, and the loudness depends on the amplitude. 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion 16

EXAMPLE 2 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion 17

EXAMPLE 2 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion 17

EXAMPLE 2 A 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion

EXAMPLE 2 A 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion 18

EXAMPLE 2 B 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion

EXAMPLE 2 B 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion 19

EXAMPLE 2 C 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion

EXAMPLE 2 C 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion 20

EXAMPLE 2 D 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion

EXAMPLE 2 D 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion 21

STEPS 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion 22

STEPS 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion 22

RECALL 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion 23

RECALL 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion 23

EXAMPLE 3 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion 24

EXAMPLE 3 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion 24

EXAMPLE 3 A 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion

EXAMPLE 3 A 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion 25

EXAMPLE 3 B 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion

EXAMPLE 3 B 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion 26

EXAMPLE 3 C 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion

EXAMPLE 3 C 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion 27

EXAMPLE 3 D 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion

EXAMPLE 3 D 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion 28

EXAMPLE 3 E 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion

EXAMPLE 3 E 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion 29

EXAMPLE 3 E 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion

EXAMPLE 3 E 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion 30

EXAMPLE 3 E 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion

EXAMPLE 3 E 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion 31

EXAMPLE 4 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion 32

EXAMPLE 4 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion 32

EXAMPLE 4 A 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion

EXAMPLE 4 A 12/16/2021 12: 20 AM § 4. 8 A: Simple Harmonic Motion 33

EXAMPLE 4 B 12/16/2021 12: 21 AM § 4. 8 A: Simple Harmonic Motion

EXAMPLE 4 B 12/16/2021 12: 21 AM § 4. 8 A: Simple Harmonic Motion 34

EXAMPLE 4 C 12/16/2021 12: 21 AM § 4. 8 A: Simple Harmonic Motion

EXAMPLE 4 C 12/16/2021 12: 21 AM § 4. 8 A: Simple Harmonic Motion 35

EXAMPLE 5 12/16/2021 12: 21 AM § 4. 8 A: Simple Harmonic Motion 36

EXAMPLE 5 12/16/2021 12: 21 AM § 4. 8 A: Simple Harmonic Motion 36

EXAMPLE 5 A 12/16/2021 12: 21 AM § 4. 8 A: Simple Harmonic Motion

EXAMPLE 5 A 12/16/2021 12: 21 AM § 4. 8 A: Simple Harmonic Motion 37

EXAMPLE 5 B 12/16/2021 12: 21 AM § 4. 8 A: Simple Harmonic Motion

EXAMPLE 5 B 12/16/2021 12: 21 AM § 4. 8 A: Simple Harmonic Motion 38

EXAMPLE 5 C 12/16/2021 12: 21 AM § 4. 8 A: Simple Harmonic Motion

EXAMPLE 5 C 12/16/2021 12: 21 AM § 4. 8 A: Simple Harmonic Motion 39

YOUR TURN 12/16/2021 12: 21 AM § 4. 8 A: Simple Harmonic Motion 40

YOUR TURN 12/16/2021 12: 21 AM § 4. 8 A: Simple Harmonic Motion 40

YOUR TURN 12/16/2021 12: 21 AM § 4. 8 A: Simple Harmonic Motion 41

YOUR TURN 12/16/2021 12: 21 AM § 4. 8 A: Simple Harmonic Motion 41

YOUR TURN 12/16/2021 12: 21 AM § 4. 8 A: Simple Harmonic Motion 42

YOUR TURN 12/16/2021 12: 21 AM § 4. 8 A: Simple Harmonic Motion 42

YOUR TURN 12/16/2021 12: 21 AM § 4. 8 A: Simple Harmonic Motion 43

YOUR TURN 12/16/2021 12: 21 AM § 4. 8 A: Simple Harmonic Motion 43

ASSIGNMENT Worksheet 12/16/2021 12: 21 AM § 4. 8 A: Simple Harmonic Motion 44

ASSIGNMENT Worksheet 12/16/2021 12: 21 AM § 4. 8 A: Simple Harmonic Motion 44