Two particles of equal mass are connected to a rope $AB$ of negligible mass such that one is at end $A$ and other dividing the length of rope in the ratio $1:2$ from $B$. The rope is rotated about end $B$ in a horizontal plane. Ratio of tensions in the smaller part to the other is (ignore effect of gravity)

There is a rod of lenght $l$, mass $m$ lying on a fixed horizontal smooth table. A cord is led through a pulley, and its horizontal part is attached to one end of the rod, while its vertical part is attached to a block of mass $m_1$.  Assume pulley and the cord is ideal. The maximum possible acceleration of the rod's centre of mass $C$ (for all possible values of masses $m$ and $m_1$) at the moment of releasing the block $m_1$ is $\frac{g}{n}$.  Find the value of $n$

What is system of particle ? 

"In pure translation motion velocity of every particle of body at any instant" is what? Equal or unequal ?

Explain translational motion by given illustration.

What is pure translational motion ?