The two small spheres, each of mass m, are connected by a cord of length 2b (measured to...

The two small spheres, each of mass m, are connected by a cord of length 2b (measured to the centers of the spheres) and are initially at rest on a smooth horizontal surface. A projectile of mass m₀ with a velocity v₀ perpendicular to the cord hits it in the middle, causing the deflection shown in part b of the figure. Determine the velocity v of m₀ as the two spheres near contact, with θ approaching 90° as indicated in part c of the figure. Also find for this condition.