Two bodies of masses $m_{1}=5\,kg$ and $m _{2}=3\,kg$ are connected by a light string going over a smooth light pulley on a smooth inclined plane as shown in the figure. The system is at rest. The force exerted by the inclined plane on the body of mass $m _{1}$ will be$....N$ [Take $g=10\,ms ^{-2}$ ]

For frictionless surfaces in given arrangement tension $T_2$ is :-

Three blocks, $A, B$ and $C,$ of masses $4\,kg, 2\,kg$ and $1\,kg$ respectively, are in contact on a frictionless surface, as shown. If a force of $14\,\,N$ is applied on the $4\,\,kg$  block, then the contact force between $A$ and $B$  is ....... $N$

Two bodies $A$ and $B$ of masses $10\,\, kg$ and $15\, kg$ respectively kept on a smooth, horizontal surface are tied to the ends of a light string. If $T$ represents the tension in the string when a horizontal force $F = 500\, N$ is applied to $A$ (as shown in figure $1$) and $T'$ be the tension when it is applied to $B$ (figure $2$), then which of the following is true

A uniform rope of mass $1.0\, kg$ is connected with a box of mass $2.0\, kg$, which is placed on a smooth horizontal surface. The free end of the rope is pulled horizontally by a force $6\, N$. Find the tension at the midpoint of the rope ....... $N$

Two blocks of mass $M$ and $m$ are kept on the trolley whose all surfaces are smooth select the correct statement