Motion in a verticle Circle #!#Tension in a string #!#Speed of particle

Verticle Circular Motion

A ball of mass m is attached to a fixed point by a light inextensible string describe a circle in a verticle plane. The tension in the string has the values alpha mg and beta mg , respectively, when the particle is at the highest and the lowest point in the path. find the relation between alpha and beta .

IF a stone is tied to one end of the string and whirled in verticle circle, then the tension in the string at the lowest point is equal to

A heavy particle hanging from a fixed point by a light inextensible string of length l is projected horizontally with speed (gl) . Then the speed of the particle and the inclination of the string to the vertical at the instant of the motion when the tension in the string equal the weight of the particle-

A particle of mass m is rotated in a vertical circle by means of a string . The differnce in the tensions in the string at the bottom and the top of the circle would be

A particle is rotated in a vertical circle by connecting it to a string of length l and keeping the other end of the string fixed. The minimum speed of the particle when the string is horizontal for which the particle will complete the circle is

A heavy particle hanging from a string of length l is projected horizontally with speed sqrtgl . Find the speed of the particle at the point where the tension in the string equals weight of the particle.

A heavy particle of weight w, attached to a fixed point by a light inextensible string describes a circle in a vertical plane. The tension in the string has the values nw and mw respectively when the particle is at the highest and lowest points in the path. Then :

An object of mass 2 kg is whirled rround in a verticle circle of radius 1m with a constant speed of 4 m//s .Then the maximum tension in the string is (g=10 m//s^(2))

A particle is projected so as to just move along a vertical circle of radius r. The ratio of the tension in the string when the particle is at the lowest and highest point on the circle is -