A simple pendulum is suspended from a peg on a wall which is inclined at an angle of `30^(@)` with the vertical. The pendulum is pulled away from the wall to a horizontal position (with string just taut) and released. The bob repeatedly bounces off the wall, the coefficient of restitution being `e = (2)/(sqrt(5))`
Find the number of collisions of the bob with the wall, after which the amplitude of oscillation (meaured from the wall) becomes less than `30^(@)`

Answer

4