A disc of mass M and radius R lies on a smooth horizontal table. Two men, each of mass `(M)/(2)`, are standing on the edges of two perpendicular radii at A and B

Find the displacement of the centre of the disc if
(a) The two men walk radically relative to the disc so as to meet at the centre C
(b) The two men walk along the circumference to meet at the midpoint (P) of the are AB.

Answer

(a) `(R)/(2sqrt(2))`
(b) `((sqrt(2)-1)R)/(2sqrt(2))`