Velocity of the centre of a small cylinder is $v$ . There is no slipping anywhere. The velocity of the centre of the larger cylinder is:

A system of uniform cylinders and plates is shown in figure. All the cylinders are identical and there is no slipping at any contact. Velocity of lower & upper plate is $V\text{ and }2V$ respectively as shown in figure. Then the ratio of angular speed of the upper cylinders to lower cylinders is

A disc is performing pure rolling on a smooth stationary surface with constant angular velocity as shown in the figure. At any instant, for the lowermost point of the disc

An object of mass $M$ and radius $R$ is performing pure rolling motion on a smooth horizontal surface under the action of a constant force $F$ as shown in figure. The object may be :

A sphere of mass $M$ and radius $R$ is moving on a rough fixed surface, having coefficient of friction $\mu$ as shown in figure. It will attain a minimum linear velocity after time $\left(v_0>{\omega }_{0}R\right)$

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