試題詳解

7. A rigid and uniform rod of length L and mass M is free to rotate about the axis through its center and perpendicular to the rod (rotational inertia I=(1/12)ML²). A small particle also of mass M is moving perpendicular to the rod at a speed v, and it strikes the rod a distance (1/4)L from the center. If the particle sticks firmly to the rod, find the angular velocity (ω) of the system about the fixed axis after the collision.

(A) 1.71 v/L
(B) 2.16 v/L
(C) 4.00 v/L
(D) 4.22 v/L
(E) 4.60 v/L.