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ABCFED is a uniform plate (shown in figu...

ABCFED is a uniform plate (shown in figure). ABC and DEF are circular arcs with common centre at O and having radii `a` and `2a` respectively. This plate is lying on a smooth horizontal table. A particle of mass half the mass of the plate strikes the plate at point A while travelling horizontally along the `x` direction with velocity `u`. The particle hits the plate and rebounds along negative `x` with velocity `(u)/(2)` . Find the velocity of point D of the plate immediately after the impact. [Take `(28)/(9 pi) cong 1` ]

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The correct Answer is:
`(3u)/(4)`
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