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...Leigh,
Does your frictional force act on a line of action passing
through the center of mass of both blocks?
If not, then don't rotational effects need
consideration?
Bob Carlson
That's a question I hadn't considered. As you point out, it could
matter. But it doesn't. ...
The details of this silly example are unimportant. I just want to
highlight the fact that it is not always useful to designate a
particular interaction as being "work". Friction presents problems
for such analysis; it is not straightforward in the way that other
analyses are. There are tougher ones, too. How much work is done on
a river when a canoeist pulls his paddle through the water?
Leigh