The bob $A$ of a pendulum released from $30^{o}$ to the vertical hits another bob $B$ of the same mass at rest on a table as shown in fig. How high does the bob $A$ rise after the collision ? Neglect the size of the bobs and assume the collision to be elastic.

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Solution

The bob A will not rise because when two bodies of same mass undergo an elastic collision, their velocities are interchanged. After collision, ball A will come to rest and the ball B would move with the velocity of A. Thus the bob A will not rise after the collision.

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The bob A of a pendulum released from 30° to the vertical hits another bob B of the same mass at rest on a table as shown in Fig. 6.15. How high does the bob A rise after the collision? Neglect the size of the bobs and assume the collision to be elastic.

Example: The bob $A$ of a pendulum released from $30^{\circ}$ to the vertical hits another bob $B$ of the same mass at rest on table as shown in figure. How high does the bob $A$ rise after the collision? Neglect the size of the bob and assume the collision to be elastic.