The discussion revolves around the mechanics of gear ratios in bicycles and how changing gears affects the speed of the bike through rotational motion. Participants explore concepts related to angular velocity, force application by the rear tire, and the role of friction in motion, with a focus on both theoretical and practical implications.
Participants do not reach a consensus on several key points, including the direct effects of gear changes on speed, the nature of friction in relation to motion, and the relationship between angular velocity and the velocity of the center of mass. Multiple competing views remain throughout the discussion.
Participants express limitations in their understanding of the mechanisms at play, particularly regarding the role of friction and the conditions under which the bike accelerates. There are also unresolved questions about the definitions and assumptions related to angular velocity and force application.
As Russ said, the torques are not the same. You would already know this if had followed my suggestion in post #58 and drawn the free body diagrams that I indicated. This is a very straightforward system to analyze if you use the free body diagrams. Show us what you can do. On the other hand, if you feel that you have advanced beyond the point where you need to use free body diagrams, I think you will now agree that you haven't.andyrk said:Why should two gears connected by the same chain rotate with the same torque?
No I can understand it by drawing the FBD. But I am studying this just for fun and I am lazy, so I don't want to bother with FBD and instead understand it just by discussion. But if that won't make me understand this completely, then I would have no other option than to draw the FBD. But I am just waiting till then.Chestermiller said:As Russ said, the torques are not the same. You would already know this if had followed my suggestion in post #58 and drawn the free body diagrams that I indicated. This is a very straightforward system to analyze if you use the free body diagrams. Show us what you can do. On the other hand, if you feel that you have advanced beyond the point where you need to use free body diagrams, I think you will now agree that you haven't.
Chet
You've already waited too long. Your admitted laziness has cost those of us who are trying to help you lots of our valuable time. Doesn't that matter to you?andyrk said:No I can understand it by drawing the FBD. But I am studying this just for fun and I am lazy, so I don't want to bother with FBD and instead understand it just by discussion. But if that won't make me understand this completely, then I would have no other option than to draw the FBD. But I am just waiting till then.