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 raidus R is to be raised onto a horizontal step of height h=R//3 as shown. A rope is wrapped around the cylinder and pulled horizontally. Assuming no slipping, find the minimum value of F to raise the cylinder.

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 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 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 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

A string is wrapped around a cylinder of radius R and pulled at the top most point horizontally by a force F The cylinder rolls without slipping on the horizontal surface. The work done by the force by the time the cylinder makes one full rotation is

A string is wrapped around a cylinder of radius R and pulled at the top most point horizontally by a force F The cylinder rolls without slipping on the horizontal surface. The work done by the force by the time the cylinder makes one full rotation is WR

A string is wrapped around a cylinder of mass M and radius R. The string is pulled vertically upward to prevent the centre of mass from falling as the string unwinds. Assume that the cylinder remains horizontal throughout and the thread does not slip. Find the length of the string unwound when the cylinder has reached an angular speed omega .

A plank of mass M is placed on a smooth surface over which a cylinder of mass m and radius R is placed as shown in figure-5.63. Now the plank is pulled towards right with an external force F. If cylinder does not slip over the surface of plank find the linear acceleration of plank and cylinder and the angular acceleration of the cylinder.