`A` bead is connected with a fixed disc of radius `R` by an inextensible massless string in a smooth horizontal plane. If the bead is pushed with a velocity `v_(0)` prependicular to the string, the bead moves in a curve and consequently collapses on the disc. Then

A uniform circular disc of radius r placed on a rough horizontal plane has initial velocity v_(0) and angular omega_(0) as shown. The disc comes to rest after moving some distance in the direction of motion. Then

A block of mass m is tied to a string of length L and the assembly is kept on a smooth horizontal table as shown in the figure. Now the other end of the string is moved with a constant velocity v_(0)hatj . ( xy plane is the plane of the table) Then

Two identical beads, each of m=100g , are connected by an inextensible massless string, which can slide along the two arms AC and BC of a rigid smooth wire frame in a vertical plane. If the system is released from rest, the kinetic energy of the first bead when the second bead has moved down by a distance of 0.1m is xxx10^-3J . Find the value of x(g=10ms^-2) (shown situation is after movement of 0.1m ).

Two identical beads, each of m=100g , are connected by an inextensible massless string, which can slide along the two arms AC and BC of a rigid smooth wire frame in a vertical plane. If the system is released from rest, the kinetic energy of the first bead when the second bead has moved down by a distance of 0.1m is xxx10^-3J . Find the value of x(g=10ms^-2) (shown situation is after movement of 0.1m ).

A particle of mass m attached to an inextensible light string is moving in a vertical circle of radius r. The critical velocity at the highest point is v_( 0) to complete the vertical circle. The tension in the string when it becomes horizontal is

A particle of mass m attached to an inextensible light string is moving in a vertical circle of radius r. The critical velocity at the highest point is v_( 0) to complete the vertical circle. The tension in the string when it becomes horizontal is

A bead B of mass 'm' can travel without frictionn on a smooth horizontalwire "xx"^(') . The bead is connected to a block of identical mass by an ideal string passing over an ideal pulley. The system, as shown, is in vertical plane. The system is allowed to fall. Find the speed of block A at the instant when string connected to the bead B makes an angle 37^(@) with vertical.

A mass m connected to inextensible string of length l lie on a horizontal smooth ground. Other end of string is fixed. Mass m is imparted a velocity v such that string remains taut & motion occurs in horizontal providely stirng during the time string turns through 90^(@)