The minimum value of $F$, such that, the block is at rest, is $(\tan \text{θ}>\mu )$

A block of mass $m$ is in contact with the cart $C$, as shown in the figure. The coefficient of static friction between the block and the cart is $\mu$. The acceleration $\left(a\right)$ of the cart that will prevent the block from falling satisfies

Consider the situation shown in the figure. The wall is smooth but the surfaces of $A$ and $B$, in contact, are rough. The friction on $B$ to $A$, in equilibrium, 

A block of mass $m$, lying on a rough horizontal plane, is acted upon by a horizontal force $P$ and another force $Q$, inclined at an angle $\mathrm{\theta }$ to the vertical. The block will remain in equilibrium, if the coefficient of friction between the block and the surface is

What is the maximum value of force $F$ such that, the block, shown in the arrangement, does not move?

The system shown in the figure is in equilibrium. The maximum value of $W,$ so that, the maximum value of static frictional force on $100 \mathrm{kg}$ body is $450 \mathrm{N}$, will be 

A horizontal force of $10 \mathrm{N}$ is necessary to just hold a block stationary against a wall. The coefficient of friction between the block and the wall is $0.2$. The weight of the block is