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 simple pendulum of length l and mass m free to oscillate in vertical plane. A nail is located at a distance d=l-a vertically below the point of suspension of a simple pendulum. The pendulum bob is released from the position where the string makes an angle of 90^@ from vertical. Discuss the motion of the bob if (a) l=2a and (b) l=2.5a .

A simple pendulum of length L having a bob of mass m is first taken aside so that the string forms the tight angle with the verticle and then released. The string hits a peg which is fixed at a distance below the point of suspension and the bob starts going in a circle centered at the peg. find the minimum value of y for which the bob goes in a complete circle about the peg.

A simple pendulum consisting of a mass M attached to a string of length L is released from rest at an angle alpha . A pin is located at a distance l below the pivot point. When the pendulum swings down, the string hits the pin as shown in figure. The maximum angle theta which the string makes with the vertical after hitting the pin is

A simple pendulum consisting of a mass M attached to a string of length L is released from rest at an angle alpha . A pin is located at a distance l below the pivot point. When the pendulum swings down, the string hits the pin as shown in figure. The maximum angle theta which the string makes with the vertical after hitting the pin is