Referee's report by Gilbert Cook, on a paper 'Flexural vibrations of the walls of thin cylindrical shells having freely supported ends' by R N Arnold and G B Warburton Sectional Committee: Physics Recommended for publication in the 'Proceedings of the Royal Society of London', if amended. The appendices do not contain new principles, and have been condensed as far as possible. Suggests expanding the description of the apparatus and procedure, and the method of supporting the ends be explained with a diagram. Suggests reducing the size od some diagrams so they fit on a single page. Suggests defining the symbols used in Appendix 1. [Published in the 'Proceedings of the Royal Society of London'] No received date. [1948]