PASCO ME-9430 Dynamics Cart with Mass - Manual (Page 22)

012-04840E Dynamics Cart
18
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“Sweet Spot” Computer Program
The following is a listing of the “Sweet Spot” computer program written by
Scott K. Perry of American River College, Sacramento, CA., using Quickbasic 4.5.
REM Program: SWEET SPOTS and PERCUSSION
POINTS (Fixed Pivot)
REM (Version: 15DEC91)
CLS
LOCATE 1, 1
INPUT “What pullback angle will you be using for this
experiment (deg.)”; theta
INPUT “What is the mass of your meter-stick ’bat’
(kg); Ms
g = 9.8: Mc = .5: L = 1: theta = theta / 57.3
COLOR 15
Begin:
CLS
LOCATE 1, 1
INPUT “How far from the center-of-mass is the pivot
located (m)”; S
INPUT “How large is the load mass (kg)”; m
IF m = 0 GOTO Skip
INPUT “ How far is the load mass from the pivot (m)”;
y
Skip:
I = (1 / 12)
∗ Ms ∗ L ^ 2 + Ms ∗ S ^ 2 + m ∗ y ^ 2
PE = (Ms
∗ S + m ∗ y) ∗ (1 – COS(theta)) ∗ g
Wo = SQR(2
∗ PE / I)
h = (1 + 2
∗ (y / L) ∗ (m / Ms)) ∗ (1 – COS(theta)) ∗ L
/ 2
PRINT: PRINT
COLOR 14
PRINT “Y-Impact (m)”; TAB(16); “Cart-Speed (m/
s)”; TAB(35); “Omega (rad/sec)”; TAB(54); “Im-
pulse at Pivot (N
∗sec)”
COLOR 15
PRINT
FOR k = 1 TO 9
r = k / 10
a = Mc / 2 + (Mc
∗ r) ^ 2 / (2 ∗ I)
b = –Mc
∗ Wo ∗ r
c = –PE + (1 / 2)
∗ I ∗ Wo ^ 2
v = (–b + SQR(b ^ 2 – 4
∗ a ∗ c)) / (2 ∗ a)
w = (I
∗ Wo – Mc ∗ r ∗ v) / I
DeltaP = Mc
∗ v + Ms ∗ w ∗ L / 2 – Ms ∗ Wo ∗ L / 2
v = INT(1000
∗ v + .5) / 1000
w = INT(1000
∗ w + .5) / 1000
DeltaP = INT(100
∗ DeltaP + .5) / 100
PRINT TAB(5); r; TAB(20); v; TAB(39); w;
TAB(60); DeltaP
NEXT
PRINT: PRINT
INPUT “Would you like to input different values ”; a$
IF a$ < > “N” and a$ < > “n” GOTO Begin
END