$A$ cubical block of side $L$ rests on a rough horizontal surface with coefficient of friction $\mu$. $A$ horizontal force $F$ is applied on the block as shown. If the coefficient of friction is sufficiently high so that the block does not slide before toppling,the minimum force required to topple the block is

$A$ cubic block of side $L$ rests on a rough surface with a sufficient coefficient of friction. $A$ horizontal force $F$ is applied at the top edge of the block. If the coefficient of friction is high enough so that the block does not slide before it topples,the minimum force required to topple the block is:

$A$ rod of length $l$ is held vertically stationary with its lower end located at a point $P$ on a horizontal plane. When the rod is released to topple about $P$,the velocity of the upper end of the rod with which it hits the ground is

An equilateral prism of mass $m$ rests on a rough horizontal surface with coefficient of friction $\mu$. A horizontal force $F$ is applied on the prism at the top vertex $A$ as shown in the figure. If the coefficient of friction is sufficiently high so that the prism does not slide before toppling, then the minimum force required to topple the prism is $-$

$A$ hollow cone of radius $R$ and height $H = 2R$ is placed on an inclined plane of inclination $\theta$. If $\theta$ is increased gradually,at what value of $\theta$ will the cone topple? Assume sufficient friction is present to prevent slipping.

$A$ uniform cube of side '$a$' and mass '$m$' rests on a rough horizontal surface. $A$ horizontal force $F$ is applied normal to one of the faces at a point that is directly above the centre of the face,at a height $\frac{3a}{4}$ above the base. The minimum value of $F$ for which the cube begins to topple about the edge is (Assume that the cube does not slide).