Calculating Tension
Use the law of sines to find the tension when a pole of weight W is suspended with two strings, and the strings are balanced with the angles from the vertical line A and B.
Calculation
T | S |
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| W | |||
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| = |
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sin B | sin A | sin (A+B) | ||||||
T = W | sin B | |||||||
sin (A+B) |
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S = W |
| sin A | ||||||
| sin (A+B) |
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T, S : tension | W : weight |
S
B
W
vertical line
A T
B
G S
W
A, B : angles (6 sexagesimal numbers)
A
T
FLOWCHART
PROGRAMME LIST(REAL MODE)
Title : TENSION
Start
Entry
Calculation of denominator
Calculation of tensions
Enter angles and weight A, B and W.
Denominator in law of sines calculated. C= sin (A + B)
Tensions T and S calculated.
T= W sin B/C T = W sin A/C
Print "Input ANGLE Input A
Input B
Print "Input WEIGHT Input W
sin (A+B) C W sin B/C T W sin A/C S Print "TENSION Print "T=
Display of tensions | Tensions T and S displayed. |
Print T
Print "S=
Print S
End
PARAMETERS
Name of parameter | Content | Name of parameter | Content |
A | angle A | S | tension S |
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B | angle B | T | tension T |
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C | sin(A+B) | W | weight |
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2