In the given system, when the ball of mass m is released, it will swing down the dotted arc.
a. How fast will it reach the lowest point in its swing? A nail is located at a distance d below the point of suspension.

b. Show that d must at `0.6l`, if the ball is to swing completely around a circle centered along the nail.
c. If `d=0.6l`, find the change in tension in the string just after it touches the nail.

The bob of a simple pendulum of length l is released from a point in the same horizontal line as the point of suspension and at a distance l from it Calculate the tension in the string at the lowest point of its swing (b) If the string of the pendulum is catched by a nail located verticaly below the point of suspensions and the bob just swings around a complete circle around the nail, find the distance of the nail from the point of suspension (c) If the string of the pendulum is made of rubber then show that it will be stretched by 3 mg//k on reaching the bob at the lowest point. Here k is the force constant of the string

A nail is located below the point of suspensions of a simple pendlum of length .l.. The bob is released from horizontal position. If the bob loops a verticle circle with nail as centre, find the distance of nail from point of suspension.

A pendulum comprising a light string of length L and small sphere, swings in the vertical plane . The string hits a peg located a distance of bellow the point of suspension (figure). If the pendulum is released from rest at the horizontal possition (theta = 90^(@)) and is to swing in a complete circule centered on the peg, the minimum value of d is

A ball of mass m is fastened to a string. The ball swings in a vertical circle of radius R with the other end of the string held fixed. Neglecting the air resistance, the difference between the string's tension at the bottom of the circle and at the quarter of the cirlce is

A ball of mass m is fastened to a string. The ball swings in a vertical circle of radius R with the other end of the string held fixed. Neglecting the air resistance, the difference between the string's tension at the bottom of the circle and at the quarter of the cirlce is

A pendulum of mass m and length l is released from rest in a horizontal position. A nail, a distance d below the pivot, causes the mass to move along the path indicated by the dotted line. The minimum distance such that the mass will swing completely round in the circle shown in figure is d then (5d)/L is

A brass bob is suspended by an inextensible weightless string of length l from a peg fixed on a vertical wall. A nail is fixed in the wall at a distance d vertically below the point of suspension of the string. The bob is then drawn to a position where the string becomes horizontal and it is released from there. Show that d must be at least 0.6 l if the bob is to swing completely around in a circle centred on the nail.