A solide homogeneous cylinder of height `h` and base radius `r` is kept vertically on a conveyer belt moving horizontally with an increasing velocity `v=a+bt^(2)`. If the cylinder is not allowed to slip then the time whem the cylinder is about to topple , will be equal to

The curved surface area of a cylinder of height h and base radius r :

A cylinder of mass m and radius R is kept on a rough surface after giving its centre a horizontal speed v_(0) . Find the speed of the centre of the cylinder when it stops slipping.

A cylinder of mass m and radius R is kept on a rough surface after giving its centre a horizontal speed v_(0) . Find the speed of the centre of the cylinder when it stops slipping.

A uniform cylinder of height h and radius r is placed with its circular face on a rough inclined plane and the inclination of the plane to the horizontal is gradually increased. If mu is the coefficient of friction, then under what condition the cylinder will (a) slide before toppling (b) topple before sliding.

A uniform cylinder of height h and radius r is placed with its circular face on a rough inclined plane and the inclination of the plane to the horizontal is gradually increased. If mu is the coefficient of friction, then under what condition the cylinder will (a) slide before toppling (b) topple before sliding.

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 height H and diameter H//4 is kept on a frictional turntable as shown in Fig. The axis of the cylinder is perpendicular to the surface of the table and the distance of axis of the cylinder is 2H from the centre of the table. The angular speed of the turntable at which the cylinder will start toppling (assume that friction is sufficient to prevent slipping) is

A cylinder of height H and diameter H//4 is kept on a frictional turntable as shown in Fig. The axis of the cylinder is perpendicular to the surface of the table and the distance of axis of the cylinder is 2H from the centre of the table. The angular speed of the turntable at which the cylinder will start toppling (assume that friction is sufficient to prevent slipping) is

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.

The total surface area of a cylinder of base radius r and height h is :