What is rotational motion and  axis ?  

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What is system of particle ? 

In the following figure, a body of mass $m$ is tied at one end of a light string and this string is wrapped around the solid cylinder of mass $M$ and radius $R$. At the moment $t = 0$ the system starts moving. If the friction is negligible, angular velocity at time $t$ would be

What is precession ? 

$A$ uniform cylinder of mass $m$ can rotate freely about its own axis which is horizontal.$A$ particle of mass mo hangs from the end of a light string wound round the cylinder which does not slip over it. When the system is allowed to move, the acceleration of the descending mass will be