BM Sharma Solutions for Chapter: Newton's Laws of Motion II, Exercise 5: DPP

In the given diagram, what is the minimum value of a horizontal external force $F$ on the block $A$ so that block $B$ will slide on the ground?

Two blocks $A\mathrm{ }\left(1\mathrm{ }\mathrm{kg}\right)$ and $B\mathrm{ }\left(2\mathrm{ }\mathrm{kg}\right)$ are connected by a string passing over a smooth pulley as shown in the figure. $B$ rests on a rough horizontal surface and $A$ rests on $B$. The coefficient of friction between $A$ and $B$ is the same as that between $B$ and the horizontal surface. The minimum horizontal force $F$ required to move $A$ to the left is $25\mathrm{ }\mathrm{N}.$ The coefficient of friction is

$(\mathrm{g}=10\mathrm{ }\mathrm{m} {{\mathrm{s}}^{-}}^2)\mathrm{ }$

In which of the following cases the friction force between $A$ and $B$ is maximum? In all cases ${\mu }_1=\mathrm{ }0.5, {\mu }_2=0.$

In the situation shown in the 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

The value of $F$ at which no friction will act on block on a inclined plane is

The coefficient of friction between block and wedge is $\mu \left(\mu >\tan \theta \right)$, then, find out the minimum value of acceleration of wedge for which the block starts sliding on the wedge?

All the blocks shown in the figure are at rest. The pulley is smooth and the strings are light. The coefficient of friction at all the contacts is $0.2$. A frictional force of $10 \mathrm{N}$ acts between $A$ and $B$. The block $A$ is about to slide on block $B$. The normal reaction exerted by the ground on the block $B$ is

Two $30 \mathrm{kg}$ blocks rest on a massless belt which passes over a fixed pulley and is attached to a $40 \mathrm{kg}$ block. If the coefficient of friction between the belt and the table as well as between the belt and the blocks $B$ and $C$ is $\mu$ and the system is released from rest from the position shown, the speed with which the block $\mathrm{B}$ falls off the belt is