What is system of particle ? 

A mass $M$ is supported by a mass less string would wound a uniform cylinder of mass $M$ and radius $R$. On releasing the mass from rest, it will fall with acceleration

A solid sphere rotates about a vertical axis on frictionless bearing. A massless cord passes around the equator of sphere, then passes through over a solid cylinder and then is connected to block of mass $M$ as  shown in figure. If the system is released from rest then the speed acquired by block after it has fallen through distance $h$ is

Explain translational motion by given illustration.

For the given figure find the acceleration of $1\, kg$ block if string is massless and mass of the pulley is $2\, kg$ and diameter of puller is $0.2\, m$ (in $m / s ^{2}$)

Let $\mathop A\limits^ \to  $ be a unit vector along the axis of rotation of a purely rotating body and $\mathop B\limits^ \to  $ be a unit vector along the velocity of a particle $ P$ of the body away from the axis. The value of $\mathop A\limits^ \to  .\mathop B\limits^ \to  $ is