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 xwith velocity (u)/(2) . Find the velocity of point D of the plate immediately after the impact. [Take (28)/(9 pi) cong 1 ]

ABCFED is a uniform plate (shown in figure). ABC and DEF are circular

1.	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 xwith velocity (u)/(2) . Find the velocity of point D of the plate immediately after the impact. [Take (28)/(9 pi) cong 1 ]
Answer» ANSWER :`(3u)/(4)`