A puck of mass mp slides across a horizontal 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 travels 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. (check image) Say the collision in case 3 takes place. Calculate the angular velocity of the puck rod system after the collision if the rod has a length L. Treat the puck as a point mass. The moment of inertia of a rod rotated about one end is 1/12 ML^2
A puck of mass mp slides across a horizontal 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 travels 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.
(check image)
Say the collision in case 3 takes place. Calculate the
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