Question

What is the greatest height $h$ at which the force $F$ can be applied so that the block will slide without toppling?

• A. $\frac{b}{{\mu }_k}$
• B. $\frac{2b}{{\mu }_k}$
• C. $\frac{b}{\sqrt{2}{\mu }_k}$
• D. $\frac{b}{2{\mu }_k}$

Answer 1

The correct option is A $\frac{b}{{\mu }_k}$

A horizontal force $=F$

Mass$=m$

Width$=b$

Height$=H$

Coefficient velocity and

Coefficient of friction $={\mu }_k$

Let, the constant velocity $=V$

Greatest $h=?$

$F=\frac{{\mu }_{k}h}{b}$

$\therefore$ Now, when F will be maximum

$F=1h=\frac{b}{{\mu }_k}$