A puck of mass mp slides across a horizantal surface and collides with a stationary, nonuniform Rod that is pivoted about its left end in three configurations, as shown. In each case, the puck tracels with the same initial velocity vp and collides with the rod at time tc. In Case 1 the puck rebounds away from the rod, in Case 2 the puck comes to rest after the collision with the rod, and in Case 3 the puck sticks to the rod. Frictional effects between the rod, puck, and floor, as well as frictional effects of the pivot, are small enough to be considered negligible.

Rank the magnitude of the three angular displacements θ1 , θ2 , and θ3 , through which the rod has rotated 2.0 s after the collision. Use "1" for the greatest angle, "2" for the next greatest, and so on. If any two or all three angles are the same, use the same number for their ranking.