Three blocks are connected as shown in figure on a horizontal frictionless table. If $m_1 =  1kg, m_2 = 8kg, m_3 = 27\, kg$ and $T_3 = 36N, T_2$ will be ............ $N$

On a smooth plane surface (figure) two block $A$ and $B$ are accelerated up by applying a force $15\, N$ on $A$. If mass of $B$ is twice that of $A$, the force on $B$ is  ........... $N$

A block $B$ is placed on block $A$. The mass of block $B$ is less than the mass of block $A$. Friction exists between the blocks, whereas the ground on which the block $A$ is placed is taken to be smooth. $A$ horizontal force $F$, increasing linearly with time begins to act on $B$. The acceleration ${a_A}$ and ${a_B}$ of blocks $A$ and $B$ respectively are plotted against $t$. The correctly plotted graph is

Consider the shown arrangement. Assume all surfaces to be smooth. If $N$ represents magnitudes of normal reaction between block and wedge, then acceleration of $M$ along horizontal equals

Two masses $M_1$ and $M_2$ are accelerated uniformly on a frictionless surface as shown in figure. The ratio of the tensions $T_1/T_2$ is