M$,$ a solid cylinder $($M$=1\mathrm{.}83$ kg$,$ R$=0\mathrm{.}125$ m$)$ pivots on a thin, fixed, frictionless bearing. A string wrapped around the cylinder pulls downward with a force F which equals the weight of a $0\mathrm{.}630$ kg mass, i$.$e$.,$ F $=6\mathrm{.}180$ N$.$ Calculate the angular acceleration of the cylinder. Tries $0/12$ If instead of the force F an actual mass m $=0\mathrm{.}630$ kg is hung from the string, find the angular acceleration of the cylinder. Tries $0/12$ How far does m travel downward between $0\mathrm{.}410$ s and $0\mathrm{.}610$ s after the motion begins? Tries $0/12$ The cylinder is changed to one with the same mass and radius, but a different moment of inertia. Starting from rest, the mass now moves a distance $0\mathrm{.}299$ m in a time of $0\mathrm{.}450$ s$.$ Find Icm of the new cylinder.