# The mass of a uniform ladder of Length 5 m is 20 kg. A person of mass 60 kg stands on the ladder at a height of 2 m from the bottom. The position of the center of mass of the ladder and man from the bottom is nearly

$\begin {array} {1 1} (a)\;1\;m \\ (b)\;2.5\;m \\ (c)\;3.5\;m \\ (d)\;2.125\;m \end {array}$

$Ycm= \large\frac{60 \times 2 + 20 \times 2.5 }{80}$
$\qquad= 2.125\;m$
edited Jun 16, 2014