Obtaining Tensions Of Strings - Sharp EL-5230 Operation Manual

Chapter 8: Application Examples

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.
S T
—— = —— = —————
sin A sin B
sin B
T = W —————
sin (A + B)
sin A
S = W —————
sin (A + B)
where W: weight
T, S: tension in strings
A, B: angles that strings make
from perpendicular lines
(DMS)
G: gravity
Press b 2 1 0 to open a window for creating a NEW
1.
program.
Type TENSION for the title then press e.
2.
• A NEW program called 'TENSION' will be created.
3. Enter the program as follows.
Program code
Print"ANGLES
Input A
Input B
Print"WEIGHT
Input W
C=AΩDEG
D=BΩDEG
102
W
sin (A + B)
Perpendicular
A
T
B
S
W
A
T
Key operations
i 1 @ a ANGLES ;
e
i 2 ; A e
i 2 ; B e
i 1 @ a WEIGHT ;
e
i 2 ; W e
; C ; = ; A @ :
e
; D ; = ; B @ :
e
line
G
S
W
B