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Q.

Write down the components of four forces $F_{1}, F_{2}, F_{3}$ and $F_{4}$ along ox and oy directions as shown in Fig. Which of the following will represent the correct match?

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a

Force	$f_{x}$	$F_{y}$
$F_{1}$	$5 \cos 30 °$ $= 2 \sqrt{3} N$	$4 \sin 30 ° = 2 N$
$F_{2}$	$- 4 \cos 60 °$ = $- 2 N$	$4 \sin 60 ° = 2 \sqrt{3} N$
$F_{3}$	0	$- 6 N$
$F_{4}$	$4 N$	7

b

Force	$f_{x}$	$F_{y}$
$F_{1}$	$5 \cos 30 °$ $= 2 \sqrt{3} N$	$4 \sin 30 ° = 2 N$
$F_{2}$	$- 4 \cos 60 °$ = $- 2 N$	$4 \sin 60 ° = 2 \sqrt{3} N$
$F_{3}$	4	$- 6 N$
$F_{4}$	$4 N$	1

c

Force	$f_{x}$	$F_{y}$
$F_{1}$	$4 \cos 30 °$ $= 2 \sqrt{3} N$	$4 \sin 30 ° = 2 N$
$F_{2}$	$- 4 \cos 60 °$ = $- 2 N$	$4 \sin 60 ° = 2 \sqrt{3} N$
$F_{3}$	0	$- 6 N$
$F_{4}$	$4 N$	0

d

Force	$f_{x}$	$F_{y}$
$F_{1}$	$5 \cos 30 °$ $= 2 \sqrt{3} N$	$4 \sin 30 ° = 2 N$
$F_{2}$	$- 4 \cos 60 °$ = $- 2 N$	$4 \sin 60 ° = 2 \sqrt{3} N$
$F_{3}$	0	$- 6 N$
$F_{4}$	$4 N$	1

answer is D.

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Detailed Solution

Force	$f_{x}$	$F_{y}$
$F_{1}$	$4 \cos 30 °$ $= 2 \sqrt{3} N$	$4 \sin 30 ° = 2 N$
$F_{2}$	$- 4 \cos 60 °$ = $- 2 N$	$4 \sin 60 ° = 2 \sqrt{3} N$
$F_{3}$	0	$- 6 N$
$F_{4}$	$4 N$	0

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