Here comes the trick, emphasize that I got it myself but I'm not sure it's right or wrong. Rolling is regarded as a motion that combines linear motion together with rotational motion, but where does it hold? It holds everywhere in the universe, then why I so damn hate it?... If it holds everywhere then just seperate them and calculate. The problem is they are interchangable, and in many damn ways.
1) What happens when a very fast spinning object is placed on a frictionless ground?
It doesn't move but just spins on it's original position
2) What happens when a very fast spinning object is placed on a rough ground?
It spins very fast initially and gradually slows down spinning and start moving, why is it so?
Pure E(Rot) >
Rub Against the ground (Kinetic Friction) energy lost >
The (Rot) slows down due to frictional torque exerted >
(Lin) speeds up due to frictional force >
Eventually V(Lin) = (Omega)R and will be like that and keep on balancing on this point until the 2 energies fade out TOGETHER. Maybe if we look at the problem from 2 different directions the whole thing would be clearer.
Pure E(Lin) >
Rub Against the ground ( Kinetic Friction) energy lost >
The (Lin) slows down due to frictional force >
(Rot) speeds up because there is a torque due to the frictional force>
Eventually bla bla bla......and they keep balance out because as one of it creates kinetic friction it slows down and speeds up the other, releasing heat...
This happens at when we break suddenly while moving very fast or give the wheels a suddenly boost to 100 turns per second(imposible? possible...stupid!!)
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