With respect to the original version of the question, I agree with what JMac's answer said. Now that it's been edited (currently on revision 5), the question is definitely much closer to being suitable for this site, but I don't think it's quite there yet.
The issue, as I see it, is that you're still asking how to do a part of the problem. While that's technically better than asking how to do the whole problem, it doesn't really make a difference as far as our policy is concerned. To get a sense of why, consider a hypothetical case where someone has a homework question that asks how they can tell the difference between a solid box and a box with two counter-rotating wheels. They know that no-effort homework/exercise questions aren't allowed here, so they invent a third box with a single rotating wheel and post a question asking how to tell the difference between the boxes, showing their work on the easy parts (which they invented) to distract from the fact that they haven't put any effort into the "hard part", i.e. the actual problem they're tasked with solving. That question would be written much like v5 of yours. Now, I'm certainly not saying I think you did that, and I'm not even saying I think this is common, but I am saying that our homework-and-exercises policy would be full of holes if it allowed the modified question but not the original.
With that in mind, what I think you need to do to make the question comply with our policy is, at a minimum, show some progress and ask a specific conceptual question about the part of the question you are working on. That means that, instead of just asking how to tell the difference between the two boxes ($B_1$, solid, and $B_3$, counter-rotating wheels), come up with some experiments you can perform on the boxes and follow them through to figure out whether they would reveal a difference between $B_1$ and $B_3$. If, in the process of doing this, you get stuck and you can't tell whether an experiment would be effective because you're unsure about some physics concept, then ask your question about that.
For example, you might think about putting each box on a rotating platform, but then it might occur to you that you might inadvertently put $B_3$ on a platform in such a way that the axes of rotation of the wheels are perpendicular to the axis of rotation of the platform, and maybe you don't know how to tell whether that would affect the torque required to rotate the box. If that is the case, you should go do a bit of research about how to calculate the things you need about rotation on perpendicular axes, and if your research points you to things which you don't understand (but think you should be able to understand), or if you can't find a particular piece of information you need, then you can come back and make your question about that. (If this winds up being a hint, then I guess you can consider it your reward for patiently discussing the question on meta. I honestly don't know if this will wind up being relevant to how to solve the problem, though; I just picked something you could try that I thought would make a good example of my point.)
