Question Number 29880 by tawa tawa last updated on 13/Feb/18
Commented by ajfour last updated on 13/Feb/18
Commented by ajfour last updated on 13/Feb/18
$${F}\mathrm{cos}\:\alpha−{f}−{mg}\mathrm{sin}\:\alpha={ma} \\ $$$$\Rightarrow\:\:{f}={F}\mathrm{cos}\:\alpha−{ma}−{mg}\mathrm{sin}\:\alpha \\ $$$$\:=\mathrm{200cos}\:\mathrm{20}°−\mathrm{1}.\mathrm{5}×\mathrm{0}.\mathrm{4}−\mathrm{15sin}\:\mathrm{20}° \\ $$$$\:\:\Rightarrow\:\boldsymbol{{f}}\:=\:\mathrm{182}.\mathrm{2}\boldsymbol{{N}} \\ $$$$\mu{N}=\mu\left({mg}\mathrm{cos}\:\alpha+{F}\mathrm{sin}\:\alpha\right)\:={f} \\ $$$$\mu\:=\frac{{f}}{{mg}\mathrm{cos}\:\alpha+{F}\mathrm{sin}\:\alpha} \\ $$$$\:\:\:\mu\:=\frac{\mathrm{200cos}\:\mathrm{20}°−\mathrm{0}.\mathrm{6}−\mathrm{15sin}\:\mathrm{20}°}{\mathrm{15cos}\:\mathrm{20}°+\mathrm{200sin}\:\mathrm{20}°} \\ $$$$\:\:\Rightarrow\:\:\boldsymbol{\mu}\:=\:\mathrm{2}.\mathrm{208}\: \\ $$
Commented by tawa tawa last updated on 13/Feb/18
$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir}.\:\mathrm{i}\:\mathrm{really}\:\mathrm{appreciate} \\ $$