On two identical horizontal V-shaped slats (see figure below), forming a dihedral angle of $2 \gamma$ ($\tan \gamma = 0.100$), there is a solid bicone with a base diameter of $D=2R = 8.00~\text{cm}$ and a distance between the vertices of $2h = 20.0~\text{cm}$, representing two identical homogeneous cones, rigidly fastened by their bases. First, the bicone is held so that its center of mass is right above the vertex of the dihedral angle, symmetrically relative to its bisectoral plane. Then it is released and it begins to roll along the slats without slipping.

A1 Find the dependence of the bicone speed of translational motion of the $v(x)$ on the $x$ coordinate measured horizontally from the vertex of the dihedral angle to the center of mass of the bicone. Calculate the speed of the bicone $v_0$ at $x_0= 50.0~\text{cm}$. Determine the maximum angular velocity $\omega_\mathrm{max}$, that the bicone is to reach during its motion.

Consider that the height of the slats exceeds the radius of the cone bases, and the acceleration of gravity is $g=9.80~\mathrm{m}/\mathrm{s}^2$.