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The bob A of a pendulum released from 30...

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. How high does the bob A rise after the collision? Neglect the size ofthe bobs and assume the collision to be elastic.

Text Solution

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The bob of pendulum acquires a velocity
`V=sqrt(2gl(1-cos theta))`,
on reaching the lower most position and makes elastic collision with the bob B of same mass.

Hence the bodies simply exchange their velocities after collision. The bob of pendulum does not rise at all and velocity of B is
`V = sqrt(2gl(1-cos theta))=1.62 ms^(-1)`
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