A simple pendulum consists of a 50 cm long string connected to a loo g ball. The ball is pulled aside 60 that the string makes an angle f 37o with the vertical and is then released. Find the tension in the string when the bob is at its lowest position.

The tension at the lowest point is given as 1.4N


Given


The length of the bob is given as 50 cm; the ball is pulled at a distance of 60 cm, making the angle of 37o.


Formula Used


The formula for the total energy in terms of kinetic and potential energy is given as



&



where


The is the total energy in terms of kinetic and potential energy, m is the mass of the object, g is the acceleration in terms of gravity and r is the length of the rod/thread attached with the bob, m is the mass of the bob, is the velocity of the bob.


Explanation


The energy at the point which is lowest in the bob circulation is given as and the position of bob at an angle of 37o, from the normal is given as point. Thereby, equating the energies together we get the velocity as







Hence, the tension is taken as




1