Another simple torque question

[WildEnergy]

In this diagram:

[PLAIN]http://img827.imageshack.us/img827/2853/physicsqb.png

how do I calculate the resulting angular and linear acceleration?

if I want to consider the result as a combination of a rotation and a translation?

or, in other words, I don't want to say "there is a pivot" I want to say "what are the forces that result in the rod rotating around the pivot as opposed to its center of mass" ?

or "how can I explain the change in outcome due to adding that pivot" ?

 

[kuruman]

In this diagram:
how do I calculate the resulting angular and linear acceleration?

You use τ = I_pivotα to calculate the angular acceleration. It makes no sense to ask about the linear acceleration unless you specify the point whose linear acceleration you are interested in.

if I want to consider the result as a combination of a rotation and a translation?

Exactly what is it that undergoes a combination of rotation and translation in this case? All the points on this rigid body describe circles of various radii centered at the pivot.

or, in other words, I don't want to say "there is a pivot" I want to say "what are the forces that result in the rod rotating around the pivot as opposed to its center of mass" ?
or "how can I explain the change in outcome due to adding that pivot" ?

Then you need to find expressions for the horizontal and vertical components of the force exerted by the pivot on the object.