MCQ
Find the magnitude of the unknown forces $X$ and $Y$ if sum of all forces is zero
- A$4,\, 8$
- ✓$5,\, 10$
- C$4,\, 10$
- D$5,\, 5$
✓
Answer
Correct option: B.
$5,\, 10$
b
$\Sigma {F_x} = 0$
$\Sigma {F_x} = 0$
$ \Rightarrow x + 5\cos {53^o} - y\sin {35^o} = 0$
$ \Rightarrow x + 3 - \frac{{4y}}{5} = 0 \Rightarrow 5x + 15 - 4y = 0$
$\Sigma {F_y} = 0$
$10 - 5\sin {53^o} - y\cos {35^o} = 0$
$ \Rightarrow 10 - 4 - \frac{{3y}}{5} = 0$
$ \Rightarrow 6 = \frac{{3y}}{5}$
$ \Rightarrow y = 10$
$\therefore x = 5$
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