QP15

Two equal, uniform, thin rigid rods of length L and mass M collide and stick together, making a composite rod of length 3L / 2. Initially, one rod is at rest while the other approaches with speed v₀ perpendicular to both rods.

 

(1 point )  (a)  What is the velocity of the center of mass after the collision?

(2 points) (b)  Find the moment of inertia I_c for the composite rod about its center of mass.

(2 points) (c)  After the collision, what is the angular velocity  _f  of the composite rod about its center of mass?