A simple pendulum is suspended from a peg on a wall which is inclined at an angle 
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 
. Find the number of collisions of the bob with the wall, after which the amplitude of oscillation (measured from the wall) becomes less than 
Text Solution
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(4)
speed of bob just before first collision.
After ' n ' hits the speed of bob will become
Smallest value of n satisfying this equation is 4.
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