Five forces $$2$$ N, $$3N$$, $$5$$ N, $$3$$ and $$2$$ N respectively act at a particle P as shown in the figure.The resultant force on the particle P is

Question

Five forces $$2$$ N, $$3N$$, $$5$$ N, $$3$$  and $$2$$ N respectively act at a particle P as shown in the figure.The resultant force on the particle P is

Infinity Learn · Accepted Answer

∑ Fx $$=$$ sum of $$x-component$$ of forces             $$=$$ $$2+3$$ $$cos$$ $$300+5$$ $$cos600-2$$ $$sin$$ $$300$$                $$=$$ $$2+32+52-1$$ $$=$$ $$5$$ N∑ Fy $$=$$ sum of $$y-component$$ of forces             $$=$$  $$3$$ $$sin$$ $$300+5$$ $$sin$$ $$600$$ $$+$$ $$3+2$$ $$cos$$ $$300$$            $$=$$ $$32+532+3+3$$ $$=$$ $$53$$ N∴ F $$=$$ $$($$∑ $$Fx)2+($$∑ $$Fy)2$$    $$=$$  $$52+(53)2$$         $$=$$ $$100$$   $$=$$  $$10$$ N∴ $$tan$$θ $$=$$ ∑ Fy∑Fx    $$=$$  $$535$$ $$=$$ $$3$$    ⇒θ $$=$$ $$600$$

Five forces 2 N, $\sqrt{3} N, 5 N, \sqrt{3} and 2 N respectively act at a particle P as shown in the figure .$
The resultant force on the particle P is

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Five forces 2 N, 3N, 5 N, 3 and 2 N respectively act at a particle P as shown in the figure.The resultant force on the particle P is

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Five forces 2 N, $\sqrt{3} N, 5 N, \sqrt{3} and 2 N respectively act at a particle P as shown in the figure .$
The resultant force on the particle P is