Question

A cubical block having square cross section of side 2 m and of mass $M=10$ kg is resting over a platform moving at constant acceleration $a=1m/s^2$. Coefficient of friction between the block and the platform is $\mu =0.1$. A force F acts at the top of the cube as shown in Fig. Now match Column I with Column II.

Answer 1

The force required to topple the block about O,
$Fa=\frac{Ma}{g}+\frac{Ma}{2}\times 1$
$F=M+\frac{M}{2}=55N$
and $f_{max}=\mu mg=0.1\times 10\times 10=10N$
Force between 0-10N will do neither sliding or slipping.
Force between 10-55 N will cause slipping.
Force above 55 N will topple the block.