Calculate output forces of machines

[UMath1]

Ok. I know that there is no difference between the friction force and the force the tire imparts to the ground and they equal and opposite. What I was saying is that Eout is not entirely Eout, because the wheel is part of the bike. I know that Iadθ is the energy that goes into rotating the wheel giving it rotational kinetic energy, but the wheel also gains translational kinetic energy from a portion of mαr^2dθ. I thought this portion was Mw/Mbike.

 

[UMath1]

Does that make any sense?

 

[jack action]

Yes.