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Question Number 69846 by Rio Michael last updated on 28/Sep/19

Find the x−component and y−component of a 25N force acting at 210° angle

$${Find}\:{the}\:{x}−{component}\:{and}\:{y}−{component}\:{of}\:{a}\:\mathrm{25}{N}\:{force}\:{acting}\:{at}\:\mathrm{210}°\:{angle} \\ $$

Answered by MJS last updated on 28/Sep/19

 (((25cos 210°)),((25sin 210°)) )= (((−((25(√3))/2))),((−((25)/2))) ) ≈ (((−21.6506)),((−12.5)) )

$$\begin{pmatrix}{\mathrm{25cos}\:\mathrm{210}°}\\{\mathrm{25sin}\:\mathrm{210}°}\end{pmatrix}=\begin{pmatrix}{−\frac{\mathrm{25}\sqrt{\mathrm{3}}}{\mathrm{2}}}\\{−\frac{\mathrm{25}}{\mathrm{2}}}\end{pmatrix}\:\approx\begin{pmatrix}{−\mathrm{21}.\mathrm{6506}}\\{−\mathrm{12}.\mathrm{5}}\end{pmatrix} \\ $$

Commented by Rio Michael last updated on 28/Sep/19

sir if i use the absolute value is it correct?

$${sir}\:{if}\:{i}\:{use}\:{the}\:{absolute}\:{value}\:{is}\:{it}\:{correct}? \\ $$

Commented by MJS last updated on 28/Sep/19

I guess no. if you use the absolute values  the angle changes to 30°

$$\mathrm{I}\:\mathrm{guess}\:\mathrm{no}.\:\mathrm{if}\:\mathrm{you}\:\mathrm{use}\:\mathrm{the}\:\mathrm{absolute}\:\mathrm{values} \\ $$$$\mathrm{the}\:\mathrm{angle}\:\mathrm{changes}\:\mathrm{to}\:\mathrm{30}° \\ $$

Commented by Rio Michael last updated on 28/Sep/19

thanks sir

$${thanks}\:{sir} \\ $$

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