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 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 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 bullet of mass m moving with a velocity of u just grazes the top of a solid cylinder of mass M and radius R resting on a rough horizontal surface as shown and is embedded in the cylinder after impact. Assuming that the cylinder rolls without slipping, find the angular velocity of the cylinder and the final velocity of the bullet.

A bullet of mass m moving with a velocity of u just grazes the top of a solid cylinder of mass M and radius R resting on a rough horizontal surface as shown and is embedded in the cylinder after impact. Assuming that the cylinder rolls without slipping, find the angular velocity of the cylinder and the final velocity of the bullet.

A solid cylinder of mass M and of radius R is fixed on a frictionless axle over a well. A rope negligible mass is wrapped around the cylinder. A bucket of uniform mass m is suspended from it. The linear acceleration bucket will:

A solid cylinder of mass M and of radius R is fixed on a frictionless axle over a well. A rope negligible mass is wrapped around the cylinder. A bucket of uniform mass m is suspended from it. The linear acceleration bucket will:

A homogeneous cylinder of mass Mand radius r is pulled on a horizontal plane by a horizontal force F acting through its centre of mass. Assuming rolling without slipping, find the angular acceleration of the cylinder,

A homogeneous cylinder of mass Mand radius r is pulled on a horizontal plane by a horizontal force F acting through its centre of mass. Assuming rolling without slipping, find the angular acceleration of the cylinder,

A homogeneous cylinder of mass Mand radius r is pulled on a horizontal plane by a horizontal force F acting through its centre of mass. Assuming rolling without slipping, find the angular acceleration of the cylinder,