A particle of mass m is attached to one end of a string of length l while the other end is fixed to a point h above the horizontal table. The particle is made to revolve in a circle on the table so as to make p revolutions per second. The maximum value of p if the particle is to be in contact with the table will be :

A particle of mass m is attached to one end of string of length l while the other end is fixed to point h(h lt l) above a horizontal table. The particle is made to revolve in a circle on the table so as to make p revolutions per second. The maximum value of p, if the particle is to be in contact with the table, is : (l gt h)

A particle of mass 200g is attached to an ideal string of length 1.30 m whose upper end is fixed to ceiling. The particle is made to revolve in a horizontal circle of radius 50 cm. The tension in the string is (g = 10 m/s^2)

A particle of maas m is attched to a light string of length l, the other end of which is fixed. Initially the string is kept horizontal and the particle is given an upwrd velocity v. The particle is just able to complete a circle

A heavy particle is attached to one end of a string 1m long whose other end is fixed at O. It is projected from it lowest position horizontally with a velocity V:

A particle of mass m is attacted to one end of string of length 3L . The particle is on a smooth horizontal table. The string passes through a hole in the table and to its other end is attached to a small particle of mass m_(0) . The particle describe horizontal circular motion with angular velocity omega_(1) and omega_(2) . find the value of (a) (omega_(1))/(omega_(2)) and (b) the value of ((1)/(omega_(1)^(2))+(1)/(omega_(2)^(2))) .

A particle of mass m is attached to one end of a weightless and inextensible string of length L. The particle is on a smooth horizontal table. The string passes through a hole in the table and to its other and is attached a small particle of equal mass m. The system is set in motion with the first particle describing a circle on the table with constant angular velocity omega_(1) and the second particle moving in the horizontal circle as a conical pendulum with constant angular velocity omega_(2) Show that the length of the portions of the string on either side of the hole are in the ratio omega_(2)^(2): omega_(1)^(2)

A particle of mass m_(1) is fastened to one end of a string and one of m_(2) to the middle point, the other end of the string being fastened to a fixed point on a smooth horizontal table The particles are then projected, so that the two portions of the string are always in the same straight line and describes horizontal circles find the ratio of tensions in the two parts of the string

A block of mass 1kg is tied to a string of length 1m the other end of which is fixed The block is moved on a smooth horizontal table with constant speed 10ms^(-1) . Find the tension in the string