6. The two spheres (#2, #3) in the figure are slightly separated and initially at rest; the left sphere (#1) is incident with speed v₀. If M ＞ m, what is the final velocity of sphere #2? We assume head-on elastic collisions. (A) (B) (C) (D) (E) 0.

4. A pendulum is formed by pivoting a long thin rod of length L and mass M about a point on the rod. Apparently, the period (T) of this pendulum (for small oscillations) depends on the position of the pivot. Suppose the pivot is at a distance d from the center of the rod. What d would give a minimum T? (The moment of inertia of a thin rod about its center is ML²/12) (A) L/√6 (B) L/6 (C) L/√12 (D) L/12 (E) None of the above.

6. The two spheres (#2, #3) in the figure are slightly separated and initially at rest; the left sphere (#1) is incident with speed v₀. If M ＞ m, what is the final velocity of sphere #2? We assume head-on elastic collisions.

(A)
(B)
(C)
(D)
(E) 0.

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