Sharp EL-5250, EL-5230 operation manual Obtaining tensions of strings, = -- =, sin A + B

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	W
—— = —— = —————
sin A	sin B	sin (A + 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

		Perpendicular
A		line	B
	T
		G	S
S	B	W
		W
	A
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

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