The system is pushed by a force $F$ as shown in figure. All surfaces are smooth except between $B$ and $C$. Friction coefficient between $B$ and $C$ is $\mu$. Minimum value of $F$ to prevent block $B$ from downward slipping is

Block $A$, as shown in figure, weighs $2.0 \mathrm{N}$ and block $B$ weighs $6.0 \mathrm{N}$. The coefficient of kinetic friction between all surfaces is $0.25$. Find the magnitude of the horizontal force necessary to drag block $B$ to the left at constant speed if $A$ and $B$ are connected by a light, flexible cord passing around a fixed, frictionless pulley.

A block of weight $20 \mathrm{N}$ is pushed against a rough vertical wall with a force of $F_2=40 \mathrm{N}$, coefficient of static friction being $0.5$. Another horizontal force of $F_1=15 \mathrm{N}$, is applied on the block in a direction parallel to the wall. Regarding the situation shown in figure we can say that the block

In the situation shown in figure a wedge of mass $m$ is placed on a rough surface, on which a block of equal mass is placed on the inclined plane of wedge. Friction coefficient between plane and the block and the ground and the wedge $\left(\mu \right)$. An external force $F$ is applied horizontally on the wedge. Given that $m$ does not slide on incline due to its weight.

The value of $F$ at which wedge will start slipping is:

In the arrangement shown in figure, a block of mass $M=20 \mathrm{kg}$ is placed on rough horizontal surface with $\mu =0.5$. $A$ block of mass $m$ is arranged as shown. The maximum value of' $m$ in order that system remains in equilibrium:

Three blocks $A, B$ and $C$ of masses $1 \mathrm{kg}, 2 \mathrm{kg}$ and $3 \mathrm{kg}$ respectively are arranged as shown in the figure. The coefficient of friction between different surfaces are shown in figure. A force of magnitude $20 \mathrm{N}$ acts on block $B$ in horizontal direction. The acceleration of block $A$ is

In the situation shown in figure, for what value of force $F$ (in Newton) sliding between middle and lower block will start? (Take $g=10 \mathrm{m} {\mathrm{s}}^{-2}$)