A solid disk of mass M$=3\mathrm{.}87$ kg and radius R$=1\mathrm{.}81$ m is initially at rest on a frictionless horizontal axel. A blob of putty of mass m$=0\mathrm{.}39$ kg strikes the edge of the disk and stick to it at a point level with the axis after falling from rest at a height h$=5\mathrm{.}40$ m$.$