Question

Determine the magnitude of friction force.

• A. $\sqrt{31}N$
• B. $\sqrt{26}N$
• C. $\sqrt{41}N$
• D. $\sqrt{36}N$

Answer 1

Answer: (C)

$\sqrt{41}N$

REF.Image.

Limiting friction in $x$

direction $=\left({\mu }_n\right)\left(mg\right)=\left(0.3\right)\left(10\right)\left(10\right)$

$\left(F_{x_l}\right)=30N$

Limiting friction in $y$

direction $=\left({\mu }_y\right)\left(mg\right)=40N$

$\left(F_{y_e}\right)$

Now,

$F_{y_e}>F_1$ and $F_{x_l}>F_2$

Thus $(friction{)}_y=F_1=5N$ and $(friction{)}_x=F_2=4N$

$\sqrt{41}N$

Ans (C)