Figure shows a uniform rod of length $30 \,cm$ having a mass $3.0 \,kg$. The rod is pulled by constant forces of $20 \,N$ and $32 \,N$ as shown. Find the force exerted by $20 \,cm$ part of the rod on the $10 \,cm$ part (all surfaces are smooth) is ......... $N$

In the figure shown $'P'$ is a plate on which a wedge $B$ is placed and on $B$ a block $A$ of mass $m$ is placed. The plate is suddenly removed and system of $B$ and $A$ is allowed to fall under gravity. Neglecting any force due to air on $A$ and $B$, the normal force on $A$ due to $B$ is

A horizontal force $10 \mathrm{~N}$ is applied to a block $A$ as shown in figure. The mass of blocks $A$ and $B$ are $2 \mathrm{~kg}$ and $3 \mathrm{~kg}$ respectively. The blocks slide over a frictionless surface. The force exerted by block $A$ on block $B$ is :

A wedge of height $H$ (fixed) and inclination $\alpha $ (variable) is moving on a smooth horizontal surface with constant acceleration $g\ m/s^2$ . A small block is placed at bottom of incline as shown in figure, slips on the smooth surface of incline . Choose $CORRECT$ statement about time taken by block to reach the top of incline

A body of mass $1\, kg$ lies on smooth inclined plane. The body is given force $F = 10N$  horizontally as shown. The magnitude of net normal reaction on the body is 

Three blocks of masses $4\, kg, 8\,kg$ and $24 \,kg$ are connected to each other with  light strings and placed on a smooth horizontal floor as shown in figure. If the system  moves with an acceleration of $2\, ms^{-2}$, the applied force $F$ is ............ $N$