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4-1.Newton's Laws of Motion
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Find the magnitude of the unknown forces $X$ and $Y$ if sum of all forces is zero
A$4,\, 8$
B$5,\, 10$
C$4,\, 10$
D$5,\, 5$
Solution
$\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$
$\therefore x = 5$
Standard 11
Physics
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