A Question on Spinors in a High school textbook

[Falgun]

TL;DR Summary

Question from Resnick Halliday Krane Chapter 8: Rotational kinematics

While revising Rotational motion, I came across a qualitative question which blew me away. Meaning I couldn't even understand the question let alone answer it. It has to do with these objects called spinors which as I understand are evoked in quantum mechanics and Relativity. I am attaching the question so kindly go through it. It would be really helpful if you could give me a rough idea of what spinors are. If you could throw in a visualisation or gif then even better. It's question no. 9 .

 

[PeroK]

The spinor in tnis case is shown in the diagram. It's not directly related to QM.

 

[Falgun]

So what exactly is a spinor? Like can you give me a definition which would be comprehensible to me at this stage?

 

[PeroK]

So what exactly is a spinor? Like can you give me a definition which would be comprehensible to me at this stage?

The problem deals with the object in diagram 8-13. For the purposes of this exercise, that is the definition of a spinor.