Emboss (Inventor) or Wrap (SolidWorks) in Fusion 360
I agree. This can be done, however it is definitely more wrk than wrapping a sketch around a cylinder. I'll create a screencast after I had my helping of turkey an Pumpkin pie 😉
Well at least you can machine this type of geometry in Fusion 360 now, just not model it.
Scott Moyse
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Here is one approach how it could be done in Fusion 360. I have a few others, but while a bit more work to set up, at the nice thing with this version is that al the basic parameters are accessible through the dimensions in the top 2 sketches. The other sketches in the attached file are simply there to provide the framework for the sweep feature.
Can you File>Export the *.f3d file to your local drive and then Attach the file to a Reply.
Oops, I see that it is there. Back in a few minutes.
I do not believe that your "solution" results in the correct geometry - but you did give me an idea of how it can be done (with an inordinate amount of extra work) .
You can check your "solution" by adding a cylindrical follower and simulate the motion and check for interference.
Sweeping a rectangular profile does not result in the same geometry as sweeping a cylindrical cutter.
You might have noticed what seems like an inordinate amount of work in the documents that I attached.
Of course, I could use a full-feature engineering tool to generate the cam, but it can be good for the students to think about the geometry in-depth. 
I have to do a bit more testing, but from my initial testing, I think you did in fact find a correct solution. 
Now... how do I change to different motion laws on the rise and fall....
Yeah, I've thought about that as well but would have to say that might be a bit more tricky than this one.
There is just so much you can do with a spline. Some profiles might be possible, others might not.
However, given how you created the geometry in the other thread with the knot (brilliant BTW), I could imagine that that a similar methodology could possibly be used to create the correct path for a specific motion profile.
Hi guys, I have to agree with Jeffrey (@JDMather). Peter's (@TrippyLighting) method is not mathematically accurate, here's an image with section at random angle (with axis on cylinders center, of course):
To be able to create certain geometries we need "wrap" tool ( I would like to use term roll/unroll to distinct from wrap/unwrap, developable surfaces vs non-developable surfaces), even more, we would need also solid sweep (sweeping solid body).
I was struggling with much simpler examples, like in this thread: http://forums.autodesk.com/t5/design-validate-document/wrap-a-body-around-a-cylinder/m-p/6246589#M50... ,
where I succeed to get what was desired, but only because no one was asking to made "fillet" where cutter would start climbing. That exact problem have occurred in this thread: http://forums.autodesk.com/t5/design-validate-document/model-a-cut-around-a-cylinder/m-p/6269226#M51... ,
and I terribly failed to find solution.
If you like to bend your minds, please try to create math accurate model (mine is attached below, it's the same as in thread I refer to).
Other thing is that we can get slightly better results in Parametric Barrel Cam model (another file in attachments), still I'm not convinced if path curve is correct. Even flat curve should be equation driven curve, not a spline.
@JDMather @michallach81 Very cool. You are correct, my first approach does not create the correct geometry. I marked Michal's answer as the solution even though it really is not a real solution to the original question whether there's a wrap function.
But in the end, that's what a Forum is for. Rational discourse and learning.
Actually I am also not sure if my spline approach creates a valid sinusoidal curve as well, but that's the best I could come up with 😉
Each of the splines is created in it's own new sketch.
You basically start new sketch and pick a plane. it will be a 3D sketch and what place you pick is irrelecvenbt, but you have to pick one. Than you can start sketching the spline.
in the Sketch Pallete I usually turn the "Sketch grid" off and "3D sketch" has to be enabled for that to work.
If this does not help you may want to prepare a screencast so we can see where the problem is.
Thank you. That explained it perfectly. I was able to complete the sweep but now I need a little clarification on how to correct the edges of the cut to be perpendicular to the cylinder as it will be cut on a 4th axis.
Thanks again,
Marc
@TrippyLighting wrote:Each of the splines is created in it's own new sketch.
You basically start new sketch and pick a plane. it will be a 3D sketch and what place you pick is irrelecvenbt, but you have to pick one. Than you can start sketching the spline.
in the Sketch Pallete I usually turn the "Sketch grid" off and "3D sketch" has to be enabled for that to work.
If this does not help you may want to prepare a screencast so we can see where the problem is.
User @michallach81 pasted an improved version. Roll back the timeline and see what he did to achieve the correct geometry.
@michallach81 wrote:Hi guys, I have to agree with Jeffrey (@JDMather). Peter's (@TrippyLighting) method is not mathematically accurate, here's an image with section at random angle (with axis on cylinders center, of course):
To be able to create certain geometries we need "wrap" tool ( I would like to use term roll/unroll to distinct from wrap/unwrap, developable surfaces vs non-developable surfaces), even more, we would need also solid sweep (sweeping solid body).
I was struggling with much simpler examples, like in this thread: http://forums.autodesk.com/t5/design-validate-document/wrap-a-body-around-a-cylinder/m-p/6246589#M50... ,
where I succeed to get what was desired, but only because no one was asking to made "fillet" where cutter would start climbing. That exact problem have occurred in this thread: http://forums.autodesk.com/t5/design-validate-document/model-a-cut-around-a-cylinder/m-p/6269226#M51... ,
and I terribly failed to find solution.
If you like to bend your minds, please try to create math accurate model (mine is attached below, it's the same as in thread I refer to).
Other thing is that we can get slightly better results in Parametric Barrel Cam model (another file in attachments), still I'm not convinced if path curve is correct. Even flat curve should be equation driven curve, not a spline.
I believe that I have followed you improved model accurately up until the split face. At that point I see that you split tool is from the sweep but I can not figure out what you selected or how you selected it. My test cam slot is slightly different because motion pauses for 72 degrees and I am no sure if that is making a difference or not. I will attach the test example.