A sphere of mass 0.1 kg is attached to an inextensible string of length 1.3 m, whose upper ens id fixed to the ceiling. The sphere is made to describe a horizontal circle of radius 0.5 m. Calculate the tension in the string.

A particle of mass 150 g is attached to one end of a massless inextensible string It is made to describe a vertical circle of radius 1 m When the string is making an angle of 48.2^(@) with the vertical , its instantaneous speed is 2 m//s What is the tension in the string in this position ? Would this particle be able to complte its circular path?(Take g=10 m s^(-2) ).

The stone of mass 100 g is suspended from the end of a weightless string of length 100 cm and is allowed to swing in a vertical plane.The speed of the mass is 2 m s^-1 when the string makes an angle of 60^@ with the vertical .Calculate the tension in the string at theta = 60^@ .Also,caculate the speed of the stone when it is in the lowest poition. (g=9.8 m s^(-2) ) .

A ball of 0.03 m diameter and 0.3 kg in weight is attached to the end of a thin string of 0.46 m length. If it is rotate uniformly in a horizontal circle at the rate of 15 revolutions per second, what is the tension in the string? Take pi^2 = 9.87 ).

A body of mass 0.8 kg is whirled uniformlyt at the end of a string 2 m long.If teh string makes 3 revolutins in 1.5 sec,calculate the tension in the string.

One end of a string of length t is connected to a particle of mass m and the other to a small peg on a smooth horizontal table. If the particle moves in a circle with speed v the net force on the particle (directed towards the centre) is : T is the tension in the string. [Choose the correct alternative].

A small stone, of mass 0.2 kg, tied to a massless, inextensible string, is rotated in vertical circle of radius 2 m. if the particle is just able to complete the vertical circle, what is its speed at the highest point of its circular path? How would this speed get effected if the mass of the stone is increased by 50%? (Take g = 10 ms^(-2) )

A stone of mass 0.25 kg tied to the end of a string is whirled round in a circle of radius 1.5 m with a speed of 40 rev.//min in a horizontal plane. What is the tension in the string ? What is the maximum speed with which the stone can be whirled around if the string can withstand a maximum tension of 200 N ?

A particle of mass 1 kg is whirled uniformly at the end of a string 2 m long.If the string makes 3 revolutins in 1.2 sec., find the tension in the string.

A 14.5 kg mass, fastened to the end of a steel wire of unstretched length 1.0 m, is whirled in a vertical circle with an angular velocity of 2 rev//s at the bottom of the circle. The cross-sectional area of the wire is 0.065 cm^2 . Calculate the elongation of the wire when the mass is at the lowest point of its path.

A copper rod of length 0.18 m is moving with a uniform velocity 10 ms^-1 parallel to a long straight wire carrying a current of 5.0 A. The rod itself is perpendicular to the wire with its ends at distances 0.01 m and 0.2 m from it. Calculate the e.m.f. induced in the rod.