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102
Obtaining tensions of strings
Suppose a bar is hung from the ceiling by two strings such that it balances
with angles the strings make from the perpendicular lines A and B. If the
weight of the bar is W, obtain the tensions in the strings S and T.
1. Press b 2 1 0 to open a window for creating a NEW
program.
2. Type TENSION for the title then press e.
•A NEW program called ‘TENSION’ will be created.
3. Enter the program as follows.
Program code Key operations
Print“ANGLES i 1 @ a ANGLES ;
e
Input A i 2 ; A e
Input B i 2 ; B e
Print”WEIGHT i 1 @ a WEIGHT ;
e
Input W i 2 ; W e
C=AΩDEG ; C ; = ; A @ :
e
D=BΩDEG ; D ; = ; B @ :
e
W
T
S
B
A
Perpendicular
line
W
T
S
B
A
—— = —— = —————
T = W —————
S = W —————
where W: weight
T, S: tension in strings
A, B: angles that strings make
from perpendicular lines
(DMS)
G: gravity
S
sin A
T
sin B
W
sin (A + B)
sin B
sin (A + B)
sin A
sin (A + B)
G
Chapter 8: Application Examples