A horizontal plane supports a stationary vertical cylinder of radius R and a disc A attached to the cylinder by a horizontal thread AB of length `l_0` (figure, to view). An initial velocity `v_0`

is imparted to the disc as shown in the figure. How long will it move along the plane until it strikes against the cylinder? The friction is assumed to be absent.

A horizontal plane supports a fixed vertical cylinder of radius R and a particle is attached to the cylinder by a horizontal thread AB as shown in Fig. The particle initially rest on a horizontal plane. A horizontal velocity v_(0) is imparted to the particle, normal to the threading during subsequent motion. Point out the false statements:

A horizontal plane supports a fixed vertical cylinder of radius R and a particle is attached to the cylinder by a horizontal thread AB as shown in Fig. The particle initially rest on a horizontal plane. A horizontal velocity v_(0) is imparted to the particle, normal to the threading during subsequent motion. Point out the false statements:

On a horizontal smooth plane there is a fixed vertical cylinder and a particle A connected to the cylinder by a thread AB. The particle is set in motion with the initial velocity v as shown in the figure. Is there any fixed point relative to which the angular momentum of the particle is constant in the process of motion?

A body of mass M (figure) with a small disc of mass m placed on it rests on a smooth horizontal plane. The disc is set in motion in the horizontal direction with velocity v. To what height (relative to the initial level) will the disc rise after breaking off the body M? The friction is assumed to be absent.

A body of mass M (figure) with a small disc of mass m placed on it rests on a smooth horizontal plane. The disc is set in motion in the horizontal direction with velocity v. To what height (relative to the initial level) will the disc rise after breaking off the body M? The friction is assumed to be absent.

A uniform solid cylinder of radius R=15cm rolls over a horizontal plane passing into an inclined plane forming an angle alpha=30^@ with the horizontal(figure). Find the maximum value of the velocity v_0 which still permits the cylinder to roll onto the inclined plane section without a jump. The sliding is assumed to be absent.

In a cylinderical region uniform magnetic field is present as shown in the figure. The cylinder is kept on a horizontal plane and its axis is horizontal. If a charge particle of mass m and charge q is projected horizontally with velocity v through a hole normal to the axis of the cylinder as shown in the diagram. An observer states the particle moves first undeviated and subsequently. oscillates inside cylinder along a horizontal diameter passing through axis of the cylinder time period