Challenge problem from engineering professor

[turbotrip]

Well here's the deal, i kinda have this rivalry going on with this one engineering proff so naturally i took on a challenge from him that i couldn't find the answer to this problem. I don't have to understand it or be able to solve it even (because its a lot more advanced then our class), but I just need a correct solution to show him and he will admit defeat. So for all of you out there who have ever wanted to get back at your professors, please help me defeat mine LOL

 

[Integral]

unfortunately for you, the rules of our fourms state that you need to show that you have made some effort to solve the problem. We do not post complete solutions.

 

[turbotrip]

oh man this stuff is pretty tough, but ill give it a try:

Fmax = (static) * (normal force)
That should give you your maximum in the static friction condition

(linear acceleration) = Mu(kinetic) * N
F=ma will give you acceleration

Static friction x radius = torque
torque / angular moment = angular acceleration
angular acceleration x radius = linear acceleration
static friction + ma should be your total force

For the second part, since it breaks static friction, angular acceleration is no longer related to linear acceleration

and that's about as far as i got

 

[Astronuc]

This might be useful
http://hyperphysics.phy-astr.gsu.edu/hbase/mi.html

No slip implies the radial velocity of the surface of the disc is equal in magnitude to the linear velocity of the cm of the disc.

There is the force associated with translation as well as rotation.