You want to hang a swinging chair on your porch. You purchase a hook off the internet. When it arrives, the hook itself looks very sturdy but you are concerned that the bolt it attaches to looks too small. You look up the modulus of medium alloy steel on MatWeb and find that it's $200$ GPa. You find that the yield strength should be at least $200$ MPa. The swing has a mass of $29$ kg and the bolt has a circular cross section with a diameter of $4$ mm$.$ How much weight can be put on the swing before it permanently deforms the bolt? Give your answer in kg$.$ Use $9\mathrm{.}8$ m$/$s$^2$ for the acceleration due to gravity.