JEE Physics through Rods

At the rolling wheel, a bar is connected by a hinge. The bar slides at $B$ along an inclined plane.

Denote by ${ v }_{ B }$ , ${ v }_{ C }$ ; the magnitudes of velocities of $B$ and $C$ respectively.

And by ${ a }_{ B }$ , ${ a }_{ C }$ ; the magnitudes of accelerations of $B$ and $C$ respectively.

Determine

$\large\ \frac { { v }_{ B } + { v }_{ C }}{ { a }_{ B } + { a }_{ C }}$ .

Given : $v_0 = 1 m/s$ , $r = 1 m$ .