A rod of length L is held vertically on a smooth horizontal surface. The top end of the rod is given a gentle push. At a certain instant of time, when the rod makes an angle 37^o with horizontal the velocity of CoM of the rod is 2 m/s. The velocity of the end of the rod in contact with the surface at that instant is : 

1.5 m/s

Initial L about A = 0 ; Final L about A = 0

\(2*\frac{1}{2} = x*1\)

\(\Rightarrow x = 1\)

\(v \cos {53} = x\)

\(v*\frac{5}{3} = 1\)

\(\Rightarrow v = \frac{5}{3}\)

v ≈ 1.5 m/s