A space station is located in a gravity-free region ofspace. It consists of a large diameter, hollow thin-walled cylinderwhich is rotating freely about its axis. It is spinning at a speedsuch that the apparent gravity on the inner surface is the same asthat on earth. The cylinder is of radius r and mass M. (a) What isthe minimum total work which had to be done to get the cylinderspinning up to speed. (b) Radial spokes, of negligible mass,connect the cylinder to the centre of rotation. An astronaut, ofmass m, climbs a spoke from the inner surface of the cylinder tothe centre. What will be the fractional change in the apparentgravity on the surface of the cylinder? (c) If the astronaut nowclimbs halfway up a spoke and lets go, how far along the cylindercircumference from the base of the spoke will the astronaut hit thecylinder? Assume throughout that the astronaut ispoint-like
