A particle of mass `m` is suspended by a string of length `l` from a fixed rigid support. A sufficient horizontal velocity `=sqrt(3gl)` is imparted to it suddenly. Calculate the angle made by the string with the vertical when the accekleration of the particle is inclined to the string by `45^(@)` .

A particle of mass m is suspended by a string of length l from a fixed rigid support. Particle is imparted a horizontal velocity u=sqrt(2gl) . Find the angle made by the string with the vertical when the acceleration of the particle is inclined to the string by 45^(@) ?

A particle of mass m is suspended from a string of length l fixed to the point O. What velocity should be imparted to the particle in its lowermost position so that the string is just able to reach the horizontal diameter of the circle?

A particle of mass 1 kg is attached to a string of length 5 m . The string is attached to a fixed point O . It is released from theposition as shown in Fig. Calculate a. the impulse developed in the string when it becorries taut, b. the velocity of the particle just after the string becomes taut, c. the impulse developed in this string PQ at this instant.

A particle is suspended by a light vertical inelastic string of length 1 from a fixed support. At its equilbrium position it is projected horizontally with a speed sqrt(6 g l) . Find the ratio of the tension in the string in its horizontal position to that in the string when the particle is vertically above the point of support.

A particle is suspended by a light vertical inelastic string of length 1 from a fixed support. At its equilbrium position it is projected horizontally with a speed sqrt(6 g l) . Find the ratio of the tension in the string in its horizontal position to that in the string when the particle is vertically above the point of support.

A particle of mass m is attached to a string of length L and given velocity sqrt(10gL) in the horizontal direction at the lowest point. Find tension in the string when the particle is at (i) lowest position (ii) highest position,

A particle of mass m is tied to a string of length L and whirled into a horizontal plan. If tension in the string is T then the speed of the particle will be :

A particle of mass m is tied to a string of length L and whirled into a horizontal plan. If tension in the string is T then the speed of the particle will be :

A bob of mass m suspended by a light inextensible string of length 'l' from a fixed point. The bob is given a speed of sqrt(6gl) . Find the tension in the string when string deflects through an angle 120^@ from the vertical.