A simple pendulum of length L swings in a vertical plane. The tension of the string when it makes an angle theta with the vertical and the bob of mass m moves with a speed v is (g is the gravitational acceleration)

A simple pendulum of length L swings in a vertical plane. The tension

1.	A simple pendulum of length L swings in a vertical plane. The tension of the string when it makes an angle theta with the vertical and the bob of mass m moves with a speed v is (g is the gravitational acceleration)
Answer» `mv^(2)//L` `mgcostheta+mv^(2)//L` `mgcostheta-mv^(2)//L` `mgcostheta` Solution : At point P, the resultant of the tension in the string (T) and the COMPONENT of weight `(mgcostheta)` provide the necessary CENTRIPETAL force for the CIRCULAR motion of the bob. i.e., `T-mgcostheta=(mv^(2))/Lor,T=mgcostheta+(mv^(2))/L`