Classical mechanics problem

Consider a rod (R) with mass $M=1kg$ and length $l$ (rod's width and thickness $w\simeq0$ , $t\simeq0$ ). The rod moves without sliding with constant speed $\vec{v}$ , with the help of homogeneous cylinders that roll without sliding on the ground with a constant velocity $v_{cm}=4m/s$ . Each cylinder has a mass $m$ and a radius of $r$ . The instant the front end of the rod leaves the cylinder (C), a small piece of plasticine with a mass $m=1kg$ that is left to fall free from a height $h$ collides inelastically and it sticks to the center of the rod. When the collision takes place there is heat produced $Q=36J$ .
$g=10m/s^2$

What is the height $h$ that the plasticine falls from?