A horizontal force $F$ is applied at the top of an equilateral triangular block having mass $m.$ The minimum coefficient of friction required to topple the block before translation will be

Uniform rod $AB$ is hinged at end $A$ in horizontal position as shown in the figure. The other end is connected to a block through a massless string as shown. The pulley is smooth and massless. Masses of block and rod is same and is equal to $m$. Then acceleration of block just after release from this position is

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

In an experiment with a light beam balance, an unknown mass $m$ is balanced by two known masses of $16 \mathrm{kg}$ and $4 \mathrm{kg}$ as shown in figure. The value of the unknown mass $m$ is

A cube of side $a$ and mass $m$ is to be tilted at point $A$ by applying a force $F$ as shown in figure. The minimum force required is

A cube $ABCD$of side $a$ is placed on an inclined surface. The angle of inclination is $\theta$. Determine the maximum value of $\theta$ for which the cube will not topple ?

A uniform rod of length $l$ is placed symmetrically on two walls as shown in figure. The rod is in equilibrium. If $N_1 \text{and} N_2$are the normal forces exerted by the walls on the rod then