A uniform cylinder of mass M and radius R is to be pulled over a step of height a `(a lt R)` by applying a force F at its centre O perpendicular to the plane through the axes of the cylinder on the edge of the step (see figure ) . The minimum value of F required is :

A solid cylinder of mass M and radius R rolls down an inclined plane of height h without slipping. The speed of its centre when it reaches the bottom is.

A solid cylinder of mass M and radius R rolls down an inclined plane of height h without slipping. The speed of its centre when it reaches the bottom is.

A cylinder of mass M and radius R is to be raised on a horizontal step of height h=R/3 . Cylinder is pulled by a rope as shown in figure. Assuming no slipping, the minimum value of force F to raise the cylinder is

A cylinder of weight W and radius R is to be raised onto a horizontal step of height h as shown in Fig. A rope is wrapped around the cylinder and pulled horizontally with force F . Assuming the cylinder does not slip on the step, find the minimum force F necessary to raise the cylinder.

A cylinder of weight W and radius R is to be raised onto a horizontal step of height h as shown in Fig. A rope is wrapped around the cylinder and pulled horizontally with force F . Assuming the cylinder does not slip on the step, find the minimum force F necessary to raise the cylinder.

A homogeneous cylinder of mass M and radius R is pulled on a horizontal plane by horizontal force F acting through its mass centre. Assuming rolling without slipping what is the angular acceleration of the cylinder ?

A uniform solid cylinder of mass m and radius R is placed on a rough horizontal surface. A horizontal constant force F is applied at the top point P of the cylinder so that it start pure rolling. The acceleration of the cylinder is

A uniform solid cylinder of mass m and radius R is placed on a rough horizontal surface. A horizontal constant force F is applied at the top point P of the cylinder so that it start pure rolling. The acceleration of the cylinder is