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1 92 5 TEXAS INSTRUMENTS ))) TRIGGER 85-86
2 92 TEXAS INSTRUMENTS ))) TRIGGER Calculator-Based Ranger ( ) 4 AA Texas Instruments Texas Instruments Texas Instruments Texas Instruments Texas Instruments Texas Instruments Incorporated 1997 Texas Instruments Incorporated Texas Instruments Incorporated, 7800 Banner Dr, M/S 3918, Dallas, TX 75251, Attention: Manager, Business Services.
3 92 TEXAS INSTRUMENTS ))) TRIGGER ( 1 13 ( 2 17 ( 3 21 ( 4 25 ( CBL CBL
4 TM (Calculator-Based Ranger TM ) /CBL TM
5 TEXAS INSTRUMENTS ))) TRIGGER CBL AA 5 3
6 /CBL Ÿ d Ÿ RECEIVING DONE 17,500 -Graph Link 4
7 /CBL ^ ^ A Ÿ [VAR-LINK] MAIN MENU SETUP/SAMPLE SET DEFAULTS APPLICAONS PLOT MENU TOOLS QUIT SET DEFAULTS SETUP START NOW QUIT QUIT 5
8 L1 L2 L3 L4 ❶ REALME = NO ❷ L1 L2 L3 L3 n = (L2 n+1 + L2 n )/2 - (L2 n + L2 n-1 )/2 L1 n+1 - L1 n ❸ L3 L1 L
9 10 7
10 ME 1 99 REALME = YES ME 15 ME ME = SETUP BEGIN ON: [ENTER] BEGIN ON: [TRIGGER] BEGIN ON: [TRIGGER] REALME = YES MATCH BEGIN ON: DELAY 10 (Trigger) BEGIN ON: [ENTER] BEGIN ON: DELAY REALME = NO TOOLS GET DATA PLOT MENU REPEAT SAMPLE SETUP START NOW 8
11 LIGHT 38 SETUP REALME=NO PLOT MENU PLOT TOOLS SMOOTH DATA REALME = NO REALME = YES REALME = YES DISTANCE MATCH VELOCITY MATCH BALL BOUNCE REALME = NO
12 REALME=YES REALME=YES REALME=YES REALME=YES REALME=NO REALME=NO 9 11 REALME=NO TOOLS TOOLS GET DATA 11 10
13 SETUP REALME=NO BEGIN ON=[TRIGGER] REALME=NO ❶ ❷ REALME=NO ❸ ❹ TOOLS TOOLS GET DATA TRANSFERRING ❺ PLOT MENU QUIT ➏ MAIN MENU TOOLS TOOLS GET CALC DATA L1 L2 L3 L4 L5 ❼ PLOT MENU -85 LINK 11
14 TRACE GRAPH œ TRACE TRACE -85 Y = QUIT Plot1 L1 L2 Plot2 L1 L3 -Graph Link CBL CBL
15 1 MATCH y y 7. y/ y/ ViewScreen 11. ViewScreen x 60 1 = x 60 1 = x = y 13
16 1 ❶ ❷ ❸ APPLICAONS METERS ❹ APPLICAONS DISTANCE MATCH DISTANCE MATCH ❺ 1 2 ➏ ❼ ➑ 3 ➒ OPONS SAME MATCH
17 1 DISTANCE MATCH ❶ OPONS NEW MATCH 7 8 ❷ 9 10 ❸ ❹ ❺ OPONS NEW MATCH ❻ ❼ OPONS QUIT DISTANCE MATCH VELOCITY MATCH MATCH 36 15
18 1 1. x y
19 2 ViewScreen TRACE m m m 6. b y y = 2x m = 2 10 (y) = 20 (y = 2 x ) 1 y = 120 a = 0 (v=0) t 1 t 2 a = v t t 2 s = vdt t 1 t=0 F=ma s t 1 t 2 17
20 2 ❶ ❷ 1 ❸ 5 ❹ SETUP/SAMPLE REALME: ME(s): DISPLAY: BEGIN ON: SMOOTHING: UNITS: NO 5 SECONDS DISTANCE [ENTER] LIGHT METERS 38 ❺ START NOW ➏ TRANSFERRING ❼ ➑ 1 18
21 2 ❶ 2 x y ❷ 3 4 ❸ ❹ y = mx + b m 2 1 y 2 - y x 2 - x 1 y b ❺ m 2 t 1 t 2 x = v t = v(t 2 - t 1 ) 19
22 m 1 xxx xxx xxx = 2 = 4 m 6. y = mx + b b m b y = mx + b
23 3 ViewScreen T = x = (SHM) SHM 8. ƒ = 1/T T 9. T A L T T = 2π _ L g L g T ƒ ƒ = 1 T ƒ (Hz) T 10. A = 1 1/ T L g L2 L3 21
24 3 ❶ ❷ 1 2 ❸ 3 4 ❹ 5 ❺ MAIN MENU SETUP/SAMPLE REALME: ME(S): DISPLAY: BEGIN ON: SMOOTHING: UNITS: NO 10 SECONDS DISTANCE [ENTER] LIGHT METERS ➏ 38 START NOW ❼ TRANSFERRING ➑ 5 22
25 3 2 MAIN MENU SETUP/SAMPLE SETUP ƒ = 1 T T ƒ (Hz) PLOT MENU VELOCITY-ME S = A sin (wt + ) S A w t w T w = 2 /T A w Y= L1 L2 A w L2 L3 23
26
27 4 2. y = 0 3. BALL BOUNCE A Y = A(X-H) 2 + K y=0 9 ViewScreen 4. x 7. A = 1 8. A < A A 6-12 y h p x y = hp x x = 0 y = h y A A PLOT TOOLS SELECT DOMAIN MAIN MENU QUIT L1 L
28 4 ❶ ❷ 5 ❸ APPLICAONS METERS FEET ❹ APPLICAONS BALL BOUNCE BALL BOUNCE ❺ TRIGGER ➏ ❼ 1 2 ➑ BALL BOUNCE
29 4 ❶ PLOT MENU PLOT TOOLS SELECT DOMAIN ❷ TRACE 5 ❸ PLOT MENU MAIN MENU QUIT ❹ Y = A (X - H ) 2 + K œ Y= Yn = A* (X - H )^2 + K ❺ Home 5 K H 1 A ➏ GRAPH 6 7 ❼ A = ➑ A 8 A ❾ ❶ ❷ ❸ ❹ 27
30 4 1. x y BALL BOUNCE A = A Yn 9. A A A A 12. A A 28
31 y = ax 2 + bx + c ViewScreen s = 1 / 2 at 2 + v i t + s i s t a v i s i y = ax 2 + bx + c c b 2a y x 6-12 b c a L1 b L2 y = ax 2 + bx + c c = 90 a = 0 a a aa
32 5 ❶ ❷ 5 MAIN MENU SETUP/SAMPLE ❸ REALME: ME(S): DISPLAY: BEGIN ON: SMOOTHING: UNITS: NO 3 SECONDS DISTANCE [ENTER] LIGHT METERS 38 ❹ START NOW ❺ ➏ 2 3 ❼ PLOT MENU PLOT TOOLS SELECT DOMAIN
33 5 ❶ 6 ❷ ❸ ❹ 7 x = 0 x L1(1) A L1-A L1 ❶ y = ax 2 + bx + c a b c ❷ a ❸ a 31
34 x y
35 y x AX 2 + BX + C REALME=NO 33
36 Y= y x x 2 2 x y y x
37 d 2 d 1 t 1 t 2 V average = d = d 2 d 1 = t t 2 t 1 () V instantaneous = lim d = d(s) s = t 0 t dt v 1 v 2 t 1 t 2 A average = v = v 2 v 1 = t t 2 t 1 () A instantaneous = lim v = dv t 0 t dt t 1 t 2 = d = (d 2 -d 1 ) = t 1 t 2 t=2 d = ( Σ v( t) ) t=1 t=2 d = v(dt) t=1 t t 1 t 2 35
38 CBL CBL education.ti.com Texas Instruments 36
39 L1 L2 L3 L4 L1 L2 L3 L4 L1 5 5 L2 5 5 REALME=YES ME=NO REAL- L5 SETUP 38 L
40 ❶ MAIN MENU SETUP/SAMPLE MAIN MENU REALME: ME (s): DISPLAY: BEGIN ON: SMOOTHING: UNITS: START NOW YES or NO TOTAL ME = 1-99 SECONDS (REALME=NO only) DISTANCE, VELOCITY, or ACCELERAON [ENTER], [TRIGGER], or 10-SECOND DELAY NONE, LIGHT, MEDIUM, or HEAVY METERS or FEET ❷ c b ❸ c 1 2 c b ❹ c b START NOW e MAIN MENU SET DEFAULTS L5 L5 ❶ MAIN MENU SET DEFAULTS SETUP ❷ ❸ START NOW
41 CBL CBL CBL Texas Instruments CBL (Calculator-Based Laboratory ) SONIC CBL CBL CBL CBL CBL CBL CBL CBL REALME=YES CBL {6,0} {6,0} L6:SEND L6 CBL {6,3} {6,3} L6:SEND L6 CBL 36 CBL 39
42 0 {0} 1 {1,0} 11 1 {1,11,,,0, } 0 (REALME=NO) 1 (REALME=NO) 2 (REALME=NO) 3 (REALME=NO) 0 (REALME=YES) 1 (REALME=YES) 2 (REALME=YES) 3 (REALME=YES) 4 (REALME=YES) 5 (REALME=YES) 6 (REALME=YES) 7 (REALME=YES) 0 1 (REALME=NO) d/dt 2 (REALME=NO) d 2 /dt {2,,0,0,0,0,0,0,0} 1 3 {3,,,,0,0,0,0,, } (0.1) <x< REALME=YES (REALME=NO) (REALME=NO) 0 2 (REALME=NO) (REALME=NO) 5 Savitzsky-Golay 2 (REALME=NO) 9 Savitzsky-Golay 3 (REALME=NO) 17 Savitzsky-Golay 4 (REALME=NO) 29 Savitzsky-Golay 5 (REALME=NO) 3 6 (REALME=NO) 5 7 (REALME=YES) REALME=YES 8 (REALME=YES) REALME=YES 9 (REALME=YES) REALME=YES 40
43 4 {4, #,,, } # T R=F (REALME=NO) {5,,,, } 0 1, 2, 3, 11, d/dt 2 d 2 /dt d/dt 5 d 2 /dt GET GET 0 6 {6, [, ]} 0 CBL ID 6 n.nnnnn ID {7} 10.rrrr ROM OK (1-9) (0-2) (0-9) REALME=NO -1 REALME=YES (0-2) ID 6 6 ID
44 4 AA CBL OK REPLACE MAIN MENU TOOLS STATUS 42
45 42 QUIT CBL LINK ERROR QUIT 17,500 ON MATCH -83 DIST MATCH 6-12 DISTANCE CBL -85 TRACE -85 "CBL" QUIT CBL -92 L1 L2 L3 L4 L5 43
46 education.ti.com 44
47 MAIN MENU SETUP / SAMPLE NO YES 1-99 (REALME=NO) DISTANCE VELOCITY ACCELERAON SET DEFAULTS [ENTER] [TRIGGER] DELAY NONE LIGHT MEDIUM HEAVY METERS FEET APPLICAONS UNITS METERS FEET APPLICAONS DISTANCE MATCH VELOCITY MATCH BALL BOUNCE MAIN MENU OPONS SAME MATCH NEW MATCH APPLICAONS MAIN MENU QUIT PLOT MENU REALME=NO DISTANCE - ME VELOCITY - ME ACCELERAON - ME PLOT TOOLS REPEAT SAMPLE MAIN MENU QUIT PLOT TOOLS SELECT DOMAIN SMOOTH DATA PLOT MENU DATA SMOOTHING LIGHT MEDIUM HEAVY NONE REALME=YES SHOW PLOT SELECT DOMAIN REPEAT SAMPLE MAIN MENU QUIT TOOLS TOOLS GET DATA GET CALC DATA STATUS STOP/CLEAR MAIN MENU QUIT
Review of Section 1.1. Mathematical Models. Review of Section 1.1. Review of Section 1.1. Functions. Domain and range. Piecewise functions
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