The two 1.5-kg spheres are released from rest and gently nudged outward from the position θ = 0 and then rotate in a vertical plane about the fixed centers of their attached gears, thus maintaining the same angle θ for both rods. Determine the velocity v of each sphere as the rods pass the position θ = 30°. The spring is unstretched when θ = 0, and the masses of the two identical rods and the two gear wheels may be neglected.

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1.5 kg 1.5 kg 240 mm k = 60 N/m 240 mm 80 mm