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
$g$
$\frac{g}{2}$
$\frac{g}{3}$
$\frac{{2g}}{3}$
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
A cylinder of mass $M$ and radius $r$ is mounted on a frictionless axle over a well. A rope of negligible mass is wrapped around the cylinder and a bucket of mass $m$ is suspended from the rope. The linear acceleration of the bucket will be
Obtain Newton's second law for system of particle and write it.
What is combined translation and rotation motion ?
What is pure translational motion ?