# Sliding ladder

**Classical Mechanics**Level 4

A ladder of length 5**m** and uniform mass density stands on a frictionless ﬂoor and leans against a frictionless wall. It is initially held motionless, with its bottom end
an inﬁnitesimal distance from the wall. It is then released, whereupon the bottom
end slides away from the wall, and the top end slides down the wall. When it loses
contact with the wall, what is the horizontal component of the velocity of the center
of mass.

Take gravitational acceleration to be 9.8\(\frac{m}{s^{2}}\)