Let $\gamma(s)$ be a curve (parametrized by arclength) whose image lies on the circular cylinder $x^2+y^2=1$ in $R^3$, given that curvature $\kappa(s)>0$ and that torsion $\tau(s)=0$ for all $s$.
Some friends and I were having difficulty interpreting this question, so any help will be quite helpful.