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 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.

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 particle sides down from rest on an inclined plane of angle theta with horizontal. The distances are as shown. The particle slides down to the position A , where it velocity is v . .

Three identical particles are joined together by a thread as shown in figure. All the three particles are moving in a horizontal plane. If the velocity of the outermost particle is v_(0) , then the ratio of tensions in the three sections of the string is (T_(BC):T_(AB):T_(DA))

Three identical particles are joined together by a thread as shown in figure. All the three particles are moving in a horizontal plane. If the velocity of the outermost particle is v_(0) , then the ratio of tensions in the three sections of the string is (T_(BC):T_(AB):T_(DA))

A particle rests on the top of a hemishpere of radius R. Find the smallest horizontal velocity that must be imparted to the particle if it is yo leave the hemisphere without sliding down it.

A particle is projected with velocity "u" in horizontal direction as shown in the figure. Find u if particle collides perpendicularly with inclined plane. h

A light thread is tightly wrapped around a fixed disc of radius R. A particle of mass m is tied to the end P of the thread and the vertically hanging part of the string has length piR . The particle is imparted a horizontal velocity V=sqrt((4pigR)/3) . The string wraps around the disc as the particle moves up. At the instant the velocity of the particle makes an angle of theta=60^(@) with horizontal, calculate. (a) Speed of the particle (b) Tension in the string

A particle is projected with velocity "u" in horizontal direction as shown in the figure. Find u if particle collides perpendicularly with inclined plane. u

A uniform rod is resting freely over a smooth horizontal plane. A particle moving horizontally strikes at one end of the rod normally and gets stuck. Then