Question

An object of mass $m$ is placed on a horizontal floor. The static friction coefficient between the object and the floor is $\mu =1$. Find the minimum force that can move the object.

• A. $\frac{mg}{2}$
• B. $\frac{mg}{\sqrt{2}}$
• C. $\sqrt{2}mg$
• D. $2mg$

Answer 1

The correct option is B $\frac{mg}{\sqrt{2}}$

we have,

static force given by,

$F_S=\left({\mu }_S\right)mg$

$=\frac{1}{2}\left(1\right)mg$

$\therefore F_S=\frac{mg}{2}$