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Question Number 17715 by tawa tawa last updated on 09/Jul/17

Two forces 5N and 6N acting at a point are inclined at 60° to each other.   Calculate their resultant.

$$\mathrm{Two}\:\mathrm{forces}\:\mathrm{5N}\:\mathrm{and}\:\mathrm{6N}\:\mathrm{acting}\:\mathrm{at}\:\mathrm{a}\:\mathrm{point}\:\mathrm{are}\:\mathrm{inclined}\:\mathrm{at}\:\mathrm{60}°\:\mathrm{to}\:\mathrm{each}\:\mathrm{other}.\: \\ $$$$\mathrm{Calculate}\:\mathrm{their}\:\mathrm{resultant}.\: \\ $$

Answered by Tinkutara last updated on 09/Jul/17

(√(5^2  + 6^2  + 2(5)(6)(1/2))) = (√(25 + 36 + 30))  = (√(91))

$$\sqrt{\mathrm{5}^{\mathrm{2}} \:+\:\mathrm{6}^{\mathrm{2}} \:+\:\mathrm{2}\left(\mathrm{5}\right)\left(\mathrm{6}\right)\frac{\mathrm{1}}{\mathrm{2}}}\:=\:\sqrt{\mathrm{25}\:+\:\mathrm{36}\:+\:\mathrm{30}} \\ $$$$=\:\sqrt{\mathrm{91}} \\ $$

Commented by tawa tawa last updated on 09/Jul/17

God bless you sir

$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir} \\ $$

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