The two small spheres, each of mass m = 0.53 kg, are connected by a cord of length 2b = 515 mm (measured to the centers of the spheres) and are initially at rest on a smooth horizontal surface. A projectile of mass m0 = 1.33 kg with a velocity v0 = 1.14 m/s 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 θ˙θ˙ for this condition.

The two small spheres, each of mass m = 0.53 kg, are connected by a cord of length 2b = 515 mm (measured to the centers of the spheres) and are initially at rest on a smooth horizontal surface. A projectile of mass m0 = 1.33 kg with a velocity v0 = 1.14 m/s 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 θ˙θ˙ for this condition.

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