Help-A-beam-being-lifted-by-two-forces-where-F1makes-an-angle-of-23-degrees-with-the-y-axis-acts-in-the-second-quadrant-F2-acts-in-the-first-quadrant-making-an-angle-of-32-degrees-with-t

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Question Number 183293 by neinhaltsieger369 last updated on 24/Dec/22

$$$$$$\mathrm{Help}!$$$$$$$$\mathrm{A}\mathrm{beam}\mathrm{being}\mathrm{lifted}\mathrm{by}\mathrm{two}\mathrm{forces}\mathrm{where}$$$$\mathrm{F}1\mathrm{makes}\mathrm{an}\mathrm{angle}\mathrm{of}23°\mathrm{degrees}\mathrm{with}\mathrm{the}\mathrm{y}$$$$\mathrm{axis}\mathrm{acts}\mathrm{in}\mathrm{the}\mathrm{second}\mathrm{quadrant}\mathrm{F}2\mathrm{acts}\mathrm{in}$$$$\mathrm{the}\mathrm{first}\mathrm{quadrant}\mathrm{making}\mathrm{an}\mathrm{angle}\mathrm{of}32°$$$$\mathrm{degrees}\mathrm{with}\mathrm{the}\mathrm{y}\mathrm{axis}\mathrm{and}\mathrm{the}\mathrm{resultant}$$$$\mathrm{force}\mathrm{is}67\mathrm{N},\mathrm{determine}\mathrm{F}1\mathrm{and}\mathrm{F}2.$$$$$$

Answered by mr W last updated on 24/Dec/22

Commented by mr W last updated on 24/Dec/22

$$iguessthisiswhatyoumeant.$$$$\frac{F_1}{\sin 32°}=\frac{F_2}{\sin 23°}=\frac{F}{\sin (32°+23°)}$$$$\Rightarrow F_1=\frac{\sin 32°}{\sin 55°}\times 67\approx 43.3N$$$$\Rightarrow F_2=\frac{\sin 23°}{\sin 55°}\times 67\approx 31.9N$$

Commented by neinhaltsieger369 last updated on 24/Dec/22

$$$$$$\mathrm{Gracias}$$

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