Why is angular momentum conserved?

AI Thread Summary
Angular momentum is conserved during instantaneous collisions, as the time frame is too brief for external torques, such as gravity, to affect the system's angular momentum significantly. In the problem discussed, the torque from gravity is acknowledged but deemed irrelevant during the collision itself. The solution emphasizes that while the ball experiences torque due to its weight, the short duration of the collision prevents any meaningful transfer of angular momentum. The key point is that the conservation of angular momentum applies in this context because the collision is modeled as instantaneous. Understanding this concept is essential for analyzing similar mechanics problems effectively.
Abhishek11235
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So,this is problem from David Morin's Classical Mechanics(Screenshot 1). I solved the problem. Then I went to see the solution in manual hoping for out of box thinking. As in screenshot 2 is solution by Morin. My question is why he conserves angular momentum about the point (R-h) below C.M? There is torque due to its own weight. Actually I want to understand meaning of the statement he has written in bracket.

If texts is small here is what he has written:
"torque from gravity will be relevant during the subsequent rising-up motion. But during the instantaneous collision, L does not change."
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You are looking at a collision that is being modeled as instantaneous. As long as this is a good approximation is appropriate, the time of the collision is too short for the torque to transfer any relevant angular momentum to the system.
 
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The argument is that although there is a torque due to gravity while the ball is rotating about the corner, the time required for the ball to go over the corner is short enough so that the angular momentum does not change appreciably.
 
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