(i) A small steel ball (B) is at rest on the edge of a table of height h. Another identical steel ball (A) is tied to a light string of length L =1.0 m and is released from the position shown so that it swings like a pendulum. At the lowest position of its path it hits the ball B which is at rest. Ball B flies off the table and hits the ground in time t. After collision the ball A keeps moving for a time t before coming to rest for the first time. Find the value of h if t = t. Collision between the balls is head on and coefficient of restitution is e = 0.995.
(ii) A pendulum has a particle of mass m attached to a massless rod of length L. The rod is released from a position where it makes an angle `theta_(0)(gt(pi)/(2))` with the vertical. The time period of oscillation is observed to be `T_(0)`. Another similar pendulum has a rod of length 2L. Time period of this pendulum when released from position ` theta_(0)` is T. Which is larger T or `T_(0)` ?

Answer

(i) h=1.25 m (ii) `T gt T_(0)`