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Question Number 95726 by Rio Michael last updated on 27/May/20

$$\mathrm{th}\mathrm{forces}{F}_1,F_2,F_3\mathrm{act}\mathrm{at}\mathrm{points}\mathrm{ith}\mathrm{position}\mathrm{vectors}{r}_1,r_2,r_3\mathrm{where}$$$$F_1=(4i+j+2k)N{r}_1=(6i+4j+k)\mathrm{m}$$$$F_2=(i-2j+k)N{r}_2=(i+5j-2k)\mathrm{m}$$$$F_3=(-5i+j-3k)N{r}_3=(i+j+k)\mathrm{m}$$$$\left(\mathrm{a}\right)\mathrm{show}\mathrm{that}\mathrm{this}\mathrm{system}\mathrm{reduces}\mathrm{to}\mathrm{a}\mathrm{couple}\mathrm{and}\mathrm{find}\mathrm{its}\mathrm{magnitude}.$$$$\left(\mathrm{b}\right)\mathrm{if}{\mathrm{F}}_3\mathrm{is}\mathrm{removed}\mathrm{and}\mathrm{replaced}\mathrm{with}{F}_4\mathrm{such}\mathrm{that}\mathrm{the}\mathrm{system}\mathrm{is}$$$$\mathrm{now}\mathrm{in}\mathrm{equilibrium}\mathrm{find}\mathrm{the}\mathrm{force}\mathrm{vector}{F}_4.$$$$\left(\mathrm{c}\right)\mathrm{the}\mathrm{equation}\mathrm{of}\mathrm{the}\mathrm{line}\mathrm{of}\mathrm{action}\mathrm{of}{F}_4$$$$\left(\mathrm{d}\right)\mathrm{the}\mathrm{moment}\mathrm{of}{\mathrm{F}}_4\mathrm{about}\mathrm{the}\mathrm{origin}.$$

Commented by Rio Michael last updated on 29/May/20

$$\mathrm{please}\mathrm{anyone}\mathrm{help}\mathrm{me}\mathrm{with}\mathrm{this}\mathrm{Q}95726$$

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