This is a favorite and a classic that I learned from Prof. Walker
who taught this course for many years.
Imagine throwing a bowling ball down a bowling alley at an initial
velocity, 
without any rotation.
The forces acing on the ball are of
the ''worst'' type : friction. Still you can actually determine exactly
what will be the final velocity of the bowling ball using the
conservation of angular momentum: We chose a point of reference
about which friction has no torque which is any point in the floor and
most convenient is a point that the ball passes immediately over as it
skids/rolls. Initially the angular momentum of the ball is
in the final state where the ball rolls without sliding the angular
momentum will be
Here we are using the very important equation for the
angular momentum of an object which both is moving with translation
as well as rotation. If 
is the vector from the point of reference
to the center of mass of the object then it can be shown that
This equation will be the cornerstone for us to use angular momentum
in problems that involve rotation as well as translation.
Back to our problem, since there is no sliding in the final state we have the rolling relation :
so we can write :
since friction generates no torque about the floor we have
We can even calculate exactly how much kinetic energy is dissipated by friction namely
I leave it as an exercise to derive this latter expression!