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. ............ $N$

Consider the following statements about the blocks shown in the diagram that are being pushed by a constant force on a frictionless table

$A.$All blocks move with the same acceleration

$B.$The net force on each block is the same

Which of these statements are/is correct

A trolley is falling freely on inclined plane as shown in the figure. The angle of string of pendulum with the ceiling of trolley is $(\alpha)$ equal to ..........

Figure shows two blocks connected by a light inextensible string as shown in figure. A force of $10 \,N$ is applied on the bigger block at $60^{\circ}$ with horizontal, then the tension in the string connecting the two masses is ....... $N$

In the diagram shown, the normal reaction force between $2\,kg$ and $1\,kg$ is (Consider the surface, to be smooth)$.........N$ (Given $g =10\,ms ^{-2}$)

A block of mass $m$ slides down on a wedge of mass $M$ as shown in figure. Let $\vec a_1$ be the acceleration of the wedge and $\vec a_2$  the acceleration of block w.r.t. ground. $N_1$ is the normal reaction between block and wedge and $N_2$ the normal reaction between wedge and ground. Friction is absent everywhere. Select the incorrect alternative