Vertical strings of same length `L` support two balls A and B of mass `2m` each. There is a small monkey of mass `m` sitting on ball A. Suddenly, the monkey jumps off the ball A at an angle `theta = 45^(@)` to the horizontal and lands exactly on the ball B. Thereafter, the monkey and the ball B just manage to complete the vertical circle.
(a) Find distance d between the two string and the speed with which the monkey jumped of the ball A.
(b) Find the impulse of the string tension on ball A during the small period when the monkey interacted with the ball to jump off it.

Answer

(a) d = 90 L u = sqrt(90 gL)`
(b) `m sqrt(45 gL)`