A ball is hanging vertically by a light inextensible string of length L from fixed point O. The ball of mass m is given a speed u at the lowest position such that it completes a vertical circle with centre at O as shown. Let AB be a diameter of circular path of ball making an angle `theta` with vertical as shown. (g is acceleration due to gravity)
a) Let `T_A` and `T_B` be tension in string when ball is at A and B respectively, then find `T_A` – `T_B`. (b) Let `vec(a)_(A)` and `vec(a)_(B)` be acceleration of ball when it is at A and B respectively, then find the value of `|vec(a)_(A)+vec(a)_(B)|`
