Two Equal Spheres, Labeled a and B in the Figure $\omega$

Two equal spheres, labeled A and B in the figure, are attached to a massless rod with a frictionless pivot at the point P. The system is made to rotate clockwise with angular speed $\omega$ on a horizontal, frictionless tabletop. Sphere A collides with and sticks to another equal sphere that is at rest on the tabletop. Note: the masses of all three spheres are equal. What is the angular speed of the system immediately after the collision?

A) $\omega$
B) 0.82 $\omega$
C) 0.60 $\omega$
D) 0.56 $\omega$
E) 0.29 $\omega$

Correct Answer:

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