Question

A box is resting on a floor with coefficient of friction equal to 0.4. at what maximum height 'H', may the box be pulled if it is to move with uniform velocity without overturning?

• A. H = 30 mm
• B. H = 60 mm
• C. H = 75 mm
• D. H = 150 mm

Answer 1

The correct option is C H = 75 mm



At the moment of over turning normal reaction will not pass through center of mass (it will pass through point O)

For uniform velocity P = f

To prevent overturning

$P\times H\le W\times 30$

$f\times H\le W\times 30$

$H\le \frac{W\times 30}{f}$

$H\le \frac{Q\times 30}{\mu \times W}$ [$\because$ N = W]

$H\le \frac{30}{\mu }$

$H\le 75$

$H_{max}=75mm$